BREES Statistics Exam Revision
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Questions and Answers

What would be the predicted blood pressure for a patient treated with 20 µg of the drug based on the regression equation y = 120.7 - 0.2x?

  • 116.7 mmHg
  • 100.7 mmHg
  • 111.2 mmHg (correct)
  • 120.5 mmHg
  • In the cat food experiment using ANOVA, what is the null hypothesis?

  • mean A > mean B > mean C
  • mean A < mean B < mean C
  • mean A = mean B = mean C (correct)
  • mean A is not equal to mean B or mean C
  • Given the p-value of 0.004 in the ANOVA test, what conclusion can be drawn regarding the null hypothesis?

  • The null hypothesis cannot be rejected.
  • The null hypothesis is rejected. (correct)
  • The p-value indicates no effect.
  • The null hypothesis is accepted.
  • What would the blood pressure be for a subject treated with 0 µg of the drug, using the regression equation provided?

    <p>120.7 mmHg (A)</p> Signup and view all the answers

    How long is the statistics exam?

    <p>1 hour 30 minutes (A)</p> Signup and view all the answers

    What percentage of the unit mark does the statistics exam represent?

    <p>30% (D)</p> Signup and view all the answers

    What is required to be brought into the statistics exam?

    <p>A calculator that cannot communicate (B)</p> Signup and view all the answers

    How many multiple-choice questions (MCQs) will there be on statistical theory and application?

    <p>15 MCQs (B)</p> Signup and view all the answers

    What should you do before the exam regarding Data Set One?

    <p>Analyze it using SPSS (A)</p> Signup and view all the answers

    What is the maximum number of printed pages you can bring into the statistics exam?

    <p>4 pages, double sided (C)</p> Signup and view all the answers

    During the exam, what must you do with your answers?

    <p>Transfer them on the Examination Answer Sheet (B)</p> Signup and view all the answers

    Which of the following items is NOT allowed in the statistics exam?

    <p>Smartphone (B)</p> Signup and view all the answers

    What is the mean of the given distribution of values: 924 g, 876 g, 703 g, 776 g, and 1032 g?

    <p>877 g (D)</p> Signup and view all the answers

    What does a Z-score of 0.67 indicate regarding a value's position in relation to the mean?

    <p>The value is 0.67 standard deviations above the mean. (D)</p> Signup and view all the answers

    If the average exam score is 48% and the standard deviation is 12%, what percentage of students scored above 60%?

    <p>36% (D)</p> Signup and view all the answers

    Which of the following statements is true regarding the central limit theorem when N exceeds 30?

    <p>The sampling distribution will be normal regardless of the population distribution. (D)</p> Signup and view all the answers

    What is the standard deviation of the sample means if the population standard deviation is 6.8 g and N equals 4?

    <p>3.4 g (B)</p> Signup and view all the answers

    What proportion of values lies within +/- 1.96 standard deviations from the mean in a normal distribution?

    <p>95% (D)</p> Signup and view all the answers

    In the context of the normal distribution stated, what is the approximate percentage of values that lie within one standard deviation of the mean?

    <p>68% (C)</p> Signup and view all the answers

    What is the meaning of the symbol σ (sigma) in the context of the normal distribution?

    <p>It represents the standard deviation. (B)</p> Signup and view all the answers

    What is the correct formula for calculating degrees of freedom when estimating the population mean?

    <p>df = N - 1 (A)</p> Signup and view all the answers

    What does a t-score represent in the context of estimating the population mean?

    <p>The number of standard deviations the sample mean is from the population mean. (D)</p> Signup and view all the answers

    Given a mean value of 82 pM and a standard deviation of 16 pM for five volunteers' samples, what is the standard error of the mean?

    <p>7.2 pM (D)</p> Signup and view all the answers

    What is the appropriate multiplier for the t-score at a 95% confidence level with 4 degrees of freedom?

    <p>2.78 (A)</p> Signup and view all the answers

    What is the width of the 95% confidence interval for the mean concentration of the hormone in the population?

    <p>19.8 pM (B)</p> Signup and view all the answers

    Why is the t-distribution used instead of the normal distribution in this context?

    <p>The sample size is small, and the sample standard deviation is used. (D)</p> Signup and view all the answers

    In statistical terms, what does a confidence interval indicate?

    <p>The range of values within which the population mean is likely to fall. (C)</p> Signup and view all the answers

    If you increase the sample size in this experiment, what effect will it have on the width of the confidence interval?

    <p>It will decrease the width. (C)</p> Signup and view all the answers

    What does a Type I error indicate in hypothesis testing?

    <p>Rejecting the null hypothesis when it is true. (C)</p> Signup and view all the answers

    What is the purpose of the null hypothesis in hypothesis testing?

    <p>To establish that there is no difference between population means (B)</p> Signup and view all the answers

    In a clinical trial, what is the purpose of calculating a risk ratio?

    <p>To compare the probability of an outcome between two groups. (C)</p> Signup and view all the answers

    How is correlation typically quantified in bivariate data analysis?

    <p>Using Pearson’s coefficient, r. (A)</p> Signup and view all the answers

    In the context of the provided data, what does a p-value of 0.025 signify?

    <p>There is a 2.5% chance of rejecting the null hypothesis when it is true (C)</p> Signup and view all the answers

    Which statistical test is appropriate to compare the sample mean of 82 pM to the population reference value of 78 pM?

    <p>One-sample t-test (D)</p> Signup and view all the answers

    What does the slope (b) in a regression equation represent?

    <p>The change in the outcome variable for each unit change in the predictor. (B)</p> Signup and view all the answers

    Which of the following correctly describes a characteristic of a scatter plot?

    <p>It shows relationships between two continuous variables. (C)</p> Signup and view all the answers

    How can a researcher reduce the likelihood of a Type I error?

    <p>Lower the alpha value (A)</p> Signup and view all the answers

    What does a standard deviation of 16 pM indicate in the context of the hormone concentrations?

    <p>There is a high variance in hormone levels (D)</p> Signup and view all the answers

    In the context of drug trials, what does an alpha value (e.g., 0.05) signify?

    <p>The threshold for determining statistical significance. (A)</p> Signup and view all the answers

    What does a Type II error mean in hypothesis testing?

    <p>Failing to reject the null hypothesis incorrectly (B)</p> Signup and view all the answers

    What does the term 'bivariate data' refer to?

    <p>Data that relates two different variables. (A)</p> Signup and view all the answers

    What does the chi-squared test determine in a study?

    <p>Whether differences between observed and expected frequencies are significant. (A)</p> Signup and view all the answers

    If a researcher has a desired alpha level of 0.05, what does this signify?

    <p>There is a 5% chance of falsely rejecting the null hypothesis (A)</p> Signup and view all the answers

    What is implied by the concentration value '14.0 pM' in the provided data?

    <p>It is one of the mean values for different degrees of freedom (A)</p> Signup and view all the answers

    What is the maximum number of double-sided pages that can be brought into the statistics exam?

    <p>8 pages (B)</p> Signup and view all the answers

    Which item is specifically required to analyze Data Set One before the statistics exam?

    <p>A print-out of the SPSS analysis (A)</p> Signup and view all the answers

    What percentage of the overall unit mark is represented by the statistics exam?

    <p>30% (C)</p> Signup and view all the answers

    What is the predicted blood pressure for a patient treated with 10 µg of the drug using the regression equation?

    <p>115.7 mmHg (D)</p> Signup and view all the answers

    Which of the following statements about the statistics exam is true?

    <p>Students can use any type of calculator. (D)</p> Signup and view all the answers

    In the given ANOVA experiment regarding cat foods, how many different brands were tested?

    <p>3 (C)</p> Signup and view all the answers

    What analysis method is required for the data set prior to the statistics exam?

    <p>SPSS analysis (A)</p> Signup and view all the answers

    What is the result of the null hypothesis in the context of the ANOVA test performed?

    <p>At least one mean is different. (C)</p> Signup and view all the answers

    During the statistics exam, where must answers be transferred to?

    <p>The Examination Answer Sheet (D)</p> Signup and view all the answers

    What would be the blood pressure of a subject treated with 0 µg of the drug, based on the regression equation?

    <p>120.7 mmHg (D)</p> Signup and view all the answers

    What is the minimum writing instrument students must bring to the statistics exam?

    <p>A pencil (HB or softer) (B)</p> Signup and view all the answers

    How many multiple-choice questions are based on statistical theory and application?

    <p>15 MCQs (A)</p> Signup and view all the answers

    What statistical method is used to compare the effectiveness of more than two brands of cat food?

    <p>ANOVA (C)</p> Signup and view all the answers

    What does the Z-score indicate in relation to a specific data point?

    <p>The number of standard deviations the data point is from the mean (A)</p> Signup and view all the answers

    When the sampling distribution is normal, what is the relationship between the mean of the sample means and the population mean?

    <p>The mean of the sample means is the same as the population mean (C)</p> Signup and view all the answers

    If the average exam score is 48% and the standard deviation is 12%, approximately what percentage of students scored above 60%?

    <p>16% (B)</p> Signup and view all the answers

    What is the effect of increasing the sample size (N) on the standard error of the mean?

    <p>It decreases the standard error of the mean (C)</p> Signup and view all the answers

    In a normal distribution, what percentage of values lies within +/- 1.96 standard deviations from the mean?

    <p>95% (B)</p> Signup and view all the answers

    What does a standard deviation of 15 indicate in a normal distribution of exam scores?

    <p>Scores are widely spread out from the mean (C)</p> Signup and view all the answers

    When the population is normally distributed and N > 30, what can be said about the sampling distribution?

    <p>It will be normal regardless of the population shape (A)</p> Signup and view all the answers

    What is the standard error of the mean if the population standard deviation is 6.8 g and the sample size N is 4?

    <p>3.4 g (A)</p> Signup and view all the answers

    What is the formula for calculating degrees of freedom when estimating the population mean?

    <p>N - 1 (D)</p> Signup and view all the answers

    Using a t-score of 2.78 with 4 degrees of freedom, what is the critical value for a 95% confidence interval?

    <p>2.78 (A)</p> Signup and view all the answers

    What does a Type I error indicate in the context of hypothesis testing?

    <p>Rejecting the null hypothesis when it is true (A)</p> Signup and view all the answers

    What is the standard error of the mean if the standard deviation is 16 pM and the sample size is 5?

    <p>3.6 pM (C)</p> Signup and view all the answers

    If the mean value of the hormone concentration is 82 pM, what value represents the lower limit of the 95% confidence interval assuming the width is 14 pM?

    <p>75 pM (C)</p> Signup and view all the answers

    In a randomized control trial, how is the risk ratio calculated?

    <p>The probability of an event occurring in the treatment group divided by the control group (A)</p> Signup and view all the answers

    What does the Pearson's coefficient, r, quantify in bivariate data analysis?

    <p>The extent of the relationship between two variables (A)</p> Signup and view all the answers

    In a normally distributed population with a mean of 82 pM and a standard deviation of 16 pM, which width corresponds to a 95% confidence interval using a t-score of 2.31?

    <p>22 pM (B)</p> Signup and view all the answers

    What is the approximate width of the 95% confidence interval for the mean hormone concentration based on a t-score of 2.09 with a standard deviation of 16 pM?

    <p>12.0 pM (D)</p> Signup and view all the answers

    What does a t-score of 2.57 correspond to with 5 degrees of freedom for a 95% confidence interval?

    <p>Corresponds to 4.03 (D)</p> Signup and view all the answers

    In the context of binary data, what does a significant chi-squared test result indicate?

    <p>The observed frequencies differ from the expected frequencies (D)</p> Signup and view all the answers

    Which of the following best explains the concept of a confidence interval?

    <p>A range of values within which the population mean is expected to lie with a certain level of confidence. (D)</p> Signup and view all the answers

    What does increasing the sample size in an experiment typically do to the confidence interval?

    <p>Narrow the confidence interval (C)</p> Signup and view all the answers

    Which statement is true regarding correlation in bivariate data analysis?

    <p>Correlation can be both linear and non-linear (B)</p> Signup and view all the answers

    What does an alpha value of 0.05 typically signify in hypothesis testing?

    <p>A 5% chance of rejecting the null hypothesis when it is true (A)</p> Signup and view all the answers

    What type of error occurs when we reject the null hypothesis when it is actually true?

    <p>Type I error (B)</p> Signup and view all the answers

    What does a p-value of 0.025 suggest regarding the null hypothesis in hypothesis testing?

    <p>There is statistically significant evidence against the null hypothesis. (C)</p> Signup and view all the answers

    Which statistical test should be used to compare a sample mean of 82 pM to a population reference value of 78 pM?

    <p>One-sample t-test (D)</p> Signup and view all the answers

    How can one reduce the likelihood of committing a Type I error?

    <p>Lower the alpha level (B)</p> Signup and view all the answers

    What is the purpose of the alpha level in hypothesis testing?

    <p>To set the threshold for rejecting the null hypothesis (A)</p> Signup and view all the answers

    What does the standard deviation of 16 pM indicate about the concentration measurements?

    <p>Measurements are highly variable. (C)</p> Signup and view all the answers

    What is the definition of a Type II error?

    <p>Failing to reject the null hypothesis when it is false (C)</p> Signup and view all the answers

    In the context of hypothesis testing, increasing the power of a test will do what?

    <p>Make it easier to detect a true effect (A)</p> Signup and view all the answers

    Flashcards

    Parameter

    A numerical value that describes a characteristic of a population.

    Central Tendency

    A measure of the "center" of a dataset. Common measures include mean (average), median, and mode.

    Standard Deviation

    A measure of the spread or dispersion of data around the mean.

    Z-score

    A value that indicates how many standard deviations a particular data point is from the mean.

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    Sampling Distribution

    The probability distribution of a statistic (like the sample mean) calculated from a random sample from the population.

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    Standard Error of the Mean (SEM)

    The standard deviation of the sampling distribution of the mean.

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    Normal Distribution

    A theoretical probability distribution, bell-shaped and symmetrical.

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    Population Mean (μ)

    The average value of a variable in the entire population.

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    Statistics Exam Duration

    The exam is 1 hour and 30 minutes long. Students with agreed AEAs may have extra time.

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    Exam Weighting

    The exam accounts for 30% of the unit mark in the course.

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    Exam Format

    The exam includes multiple choice questions (MCQs) on statistical theory, application (including calculations), and data analysis using SPSS.

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    Data Set One Analysis

    Students must perform data analysis on a specific data set using SPSS.

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    Data Analysis Output

    Print out the results of the data analysis using SPSS to bring to the exam.

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    Permitted Printouts

    Maximum of four double-sided pages for the analysis of Data Set One are allowed.

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    Allowed Materials

    Students must bring a calculator, pencil, eraser, pencil sharpener, and printed analysis of Data Set One to the exam.

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    Exam Answer Sheet

    All answers need to be written on the provided answer sheet.

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    95% Confidence Interval for Population Mean

    A range of values that likely contains the true population mean with 95% certainty.

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    t-distribution

    A probability distribution used to estimate population parameters when the population standard deviation is unknown and the sample size is small.

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    Degrees of Freedom (df)

    A parameter in the t-distribution calculation, derived from the sample size (N-1).

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    Calculating width of 95% CI

    Calculate by multiplying the standard error of the mean (SEM) by the appropriate t-score value.

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    Confidence Interval (CI)

    An interval of plausible values for an unknown parameter.

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    Sample size implications

    The confidence interval gets narrower as the sample size increases, indicating more accuracy.

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    Relationship of df and t-score

    The degrees of freedom (df) determine the appropriate t-score for a particular confidence level (like 95% or 99%).

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    P-value

    The probability of observing a sample statistic as extreme as the one observed, assuming the null hypothesis is true.

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    Type I Error

    Rejecting the null hypothesis when it is actually true.

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    Type II Error

    Failing to reject the null hypothesis when it is false

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    Alpha (α)

    The probability of making a Type I error.

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    Power

    The probability of correctly rejecting the null hypothesis when it is false.

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    One-Sample t-test

    Used to compare the mean of a single sample to a known population mean.

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    Independent Samples t-test

    Used to compare the means of two independent groups.

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    Paired t-test

    Used to compare the means of two dependent groups, where each data point in one group is paired with a corresponding data point in the other group.

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    Risk Ratio

    A measure of the relative risk of an event (e.g., death) between two groups, often used in clinical trials.

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    Chi-squared Test

    A statistical test used to analyze categorical data, comparing observed frequencies to expected frequencies to assess if there is a relationship between two variables.

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    Scatter Plot

    A graph showing the relationship between two continuous variables, where each point represents a data point.

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    Correlation

    The statistical relationship between two variables, indicating how strongly they are related and whether the relationship is positive or negative.

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    Regression Equation

    A mathematical equation that describes the linear relationship between two variables, allowing us to predict one variable from the other.

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    Linear Regression Equation

    An equation that describes the linear relationship between two variables (e.g., drug dosage and blood pressure). The equation is typically written as y = a + bx, where 'y' is the dependent variable, 'x' is the independent variable, 'a' is the y-intercept, and 'b' is the slope.

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    Predicting Blood Pressure

    Using the linear regression equation, we can estimate the blood pressure of an individual based on their drug dosage. To do this, substitute the given drug dosage value into the equation and solve for 'y' (blood pressure).

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    ANOVA

    Analysis of Variance. A statistical test used to compare the means of three or more groups. It tests whether there is a significant difference between the group means.

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    Null Hypothesis

    A statement of no difference or no effect between groups. In ANOVA, the null hypothesis states that all group means are equal.

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    Post-Hoc Test

    A statistical test conducted after ANOVA to determine which specific groups are different from each other when the overall ANOVA result rejects the null hypothesis.

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    What is the statistics exam duration?

    The statistics exam is 1 hour and 30 minutes long. Students with agreed AEAs may have extra time.

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    How much is the statistics exam worth?

    The exam accounts for 30% of the overall unit mark for the statistics course.

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    What is permitted on the exam?

    You can bring a calculator, pencil, eraser, pencil sharpener, and a printout of your SPSS analysis of Data Set One to the exam. You can annotate the printout but can't take it out of the exam room.

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    SPSS MCQ's

    There will be 5 MCQs on Data Set One that you analyze before the exam, and 5 MCQs on another data set that you will be given pre-analyzed.

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    Negative Marking

    There is no negative marking for incorrect answers on the multiple choice questions during the statistics exam.

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    How to Prepare for the Statistics Exam

    Review the statistics content of the course, complete practice problems, and ensure you understand how to use SPSS for data analysis.

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    Why do you need a calculator for the exam?

    You'll need a calculator to perform calculations needed to answer the statistical theory and application questions on the exam.

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    Population Parameter

    A value that describes a characteristic of an entire population, like the average height of all women in a country.

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    Mean (μ)

    The average value of a set of numbers. Calculated by adding all values and dividing by the total number of values.

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    Standard Deviation (σ)

    A measure of how spread out the data is around the mean.

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    Width Of Confidence Interval

    The width of the confidence interval represents the uncertainty associated with our estimate of the population mean. A wider interval indicates more uncertainty.

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    What is the t-score used for?

    The t-score is used to calculate the width of the confidence interval. It is the number of standard errors of the mean (SEM) that lie between the sample mean and the upper/lower bounds of the confidence interval.

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    Calculating Width of Confidence Interval

    The width of the confidence interval is calculated by multiplying the standard error of the mean (SEM) by the appropriate t-score value.

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    How does the width of the CI change with sample size?

    As the sample size increases, the confidence interval gets narrower. This means that we have more confidence in our estimate of the population mean.

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    Relationship Between Degrees of Freedom (df) and T-score

    The degrees of freedom determine the appropriate t-score for a particular confidence level (e.g., 95% or 99%). Higher degrees of freedom lead to a narrower t-distribution.

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    Pearson's Correlation Coefficient (r)

    Measures the strength and direction of a linear relationship between two variables.

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    T-test

    A statistical test used to compare the means of two groups. It determines if there's a significant difference between the means.

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    Study Notes

    BREES Statistics Exam

    • Exam revision session led by Karen Still
    • Offered through the School of Cellular and Molecular Medicine, University of Bristol

    Exam Information

    • Assessment: One Multiple Choice Question (MCQ) in-person exam paper.
    • Weighting: 30% of the final unit mark.
    • Date: Tuesday 10th December 2024.
    • Time: 09.15 GMT.
    • Duration: 1 hour 30 minutes.
    • Content: 25 multiple-choice questions (MCQs).
    • 15 MCQs focus on statistical theory and application, including calculations.
    • 5 MCQs are based on a data set released beforehand, requiring SPSS analysis.
      • This data set will be available by Thursday 26th November.
    • 5 MCQs relate to a pre-performed SPSS analysis of a second data set (released as part of the exam paper).
    • Materials: Calculator, printed SPSS analysis of Data Set One (maximum 4 double-sided pages). Students can annotate printed sheets with handwritten or typed notes. Student name and ID must be present on the sheets.

    Exam Details

    • Format: In-person, 25 multiple-choice questions (MCQs) on statistical theory and application.
    • Duration: 1 hour 30 minutes.
    • Materials: Calculator, printed SPSS analysis of Data Set One (maximum 4 double-sided pages), annotations are permitted.
    • Location: Students must check their exam timetable for the date, time, and venue.
    • Late Arrival: Late arrivals may be refused entry.
    • Absence: Absence may result in taking the reassessment in July/August 2025, with a maximum unit mark of 40%.
    • Data Set One: Analyse the data using appropriate SPSS methods before the exam, and bring a printed output into the exam.
    • Data Set One Analysis Format: The data analysis should not exceed 4 double-sided pages.
    • Answer Sheet: Answer sheet includes more answer choices than questions. Ignore the excess choices.
    • Materials per the Checklist: Ensure bringing pencil (HB or softer), eraser, pencil sharpener, calculator, printout of SPSS completed analysis (Data Set One), and your valid University card.
    • Rules: Adhere to University rules on permitted exam materials.

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    BREES Statistics Revision PDF

    Description

    Prepare for the BREES Statistics Exam with this focused revision session led by Karen Still. This in-person exam features 25 multiple-choice questions covering statistical theory, SPSS analysis, and practical applications. Ensure you are ready for this key assessment that contributes to your final unit mark.

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