Statistics and Parameters in Research
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Questions and Answers

What is the type of data represented by the pitch speed of Jacob deGrom?

  • Qualitative
  • Nominal
  • Quantitative (correct)
  • Ordinal
  • What is the type of data represented by the sex of each patient in the doctor's study?

  • Quantitative
  • Nominal
  • Qualitative (correct)
  • Ordinal
  • In the hotel's shuttle time data, what is the parameter being measured?

  • The average shuttle time of the population (correct)
  • The standard deviation of the population
  • The sum of the shuttle times
  • The mean of the sample
  • What is the purpose of calculating the z-score for the shuttle time?

    <p>To determine how many standard deviations away from the mean the shuttle time is</p> Signup and view all the answers

    In the survey about the registered voters in Georgia, what is the 23% describing?

    <p>A sample characteristic</p> Signup and view all the answers

    What type of data is the GPA of each student athlete on the team at UCF?

    <p>Quantitative continuous</p> Signup and view all the answers

    In the doctor's study, is the data collected from all 50 patients or a subset of them?

    <p>The data is collected from a subset of 20 patients, making it a sample</p> Signup and view all the answers

    What is the primary advantage of using a cluster sampling method, as in the UCF example?

    <p>Reduced cost and time</p> Signup and view all the answers

    What is the purpose of collecting data from a sample rather than a population?

    <p>To make inferences about the population from the sample</p> Signup and view all the answers

    What is the relative frequency for students who scored a C in the statistics exam?

    <p>0.38</p> Signup and view all the answers

    In a skewed distribution, which of the following is generally true?

    <p>The mean is higher than the median</p> Signup and view all the answers

    What type of variable is the 'nicest fruit' chosen by the students in the elementary school survey?

    <p>Nominal</p> Signup and view all the answers

    What percentage of the rent payments in Orlando would be expected to be between $100 and $2100?

    <p>about 99.7%</p> Signup and view all the answers

    What is the main difference between an experiment and an observational study?

    <p>The method of assigning treatments to groups</p> Signup and view all the answers

    What type of data is the average height of adult Northern giraffes?

    <p>Population parameter</p> Signup and view all the answers

    What does the z-score of -1.4 indicate about the giraffe's height?

    <p>The giraffe's height is 1.4 standard deviations below the mean</p> Signup and view all the answers

    What is the purpose of calculating the z-score for the giraffe's height?

    <p>To compare the giraffe's height to the mean height</p> Signup and view all the answers

    What is the main advantage of using Khan Academy practice problems in the experiment?

    <p>It allows the teacher to control the treatment and randomly assign classes</p> Signup and view all the answers

    Study Notes

    Descriptive Statistics and Probability

    • Jacob deGrom's pitch speed in a baseball game was 101 mph with a standard deviation of 6 mph, which means at least 75% of his pitches are between 89 to 113 mph.
    • A hotel's shuttle time has a bell-shaped distribution with a mean of 14 minutes and a standard deviation of 1.7 minutes.

    Data Types and Sampling

    • Temperature is a quantitative variable, while sex is a qualitative variable.
    • A dataset collected from 20 patients out of 50 is a sample, not a population.
    • A survey of 370 registered voters in Georgia is a sample, and the 23% who plan to vote is a statistic.

    Measures of Central Tendency and Relative Frequency

    • The relative frequency for students who scored a C in a statistics exam is calculated by dividing the number of students who scored a C (85) by the total number of students (150).
    • To find the relative frequency, divide the frequency of each category by the total number of observations.

    Sampling Methods

    • UCF is using a cluster sampling method by selecting 8 sports teams and collecting the GPA from each student athlete.

    Distribution and Skewness

    • In a right-skewed distribution, the mean tends to be higher than the median.

    Proportions and Probability

    • To find the proportion of students who responded that apple was the nicest fruit, divide the number of students who chose apple by the total number of students.
    • The proportion of rent payments between $100 and $2100 is at least 95% of the average rent payment in Orlando.

    Experiment and Observational Study

    • The teacher's study on the effect of Khan Academy on quiz grades is an experiment because the teacher assigns the classes to the Khan Academy conditions.

    Z-Scores

    • A z-score of -1.4 for the giraffe's height means it is 1.4 standard deviations below the mean height of 20 ft.

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    Description

    Determine whether a percentage is a statistic or a parameter in a research survey. This quiz is based on a sample of registered voters in Georgia and their plans to vote in the next local election.

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