18 Questions
What is the primary purpose of a null hypothesis in hypothesis testing?
To serve as a baseline for comparison with the alternative hypothesis
What is the definition of a Type 1 error in hypothesis testing?
Shutting down a restaurant that was fine
What is the purpose of statistical inference in linear regression?
To draw a conclusion about the population from a sample of data
What is the definition of a parameter in statistics?
A number associated with a population
What is the purpose of the p-value in hypothesis testing?
To determine the odds of the observed result occurring if the null hypothesis is true
What is the purpose of estimating the parameter of interest with an expression of uncertainty?
To provide an interval estimate of a population parameter
What is the conclusion if the p-value is less than the significance level in a hypothesis test?
We reject the null hypothesis
What is the term for the percentage of variation in the dependent variable that is explained by the independent variable in linear regression?
R-squared
What is the purpose of bootstrapping in the context of parameter estimation?
To simulate the distribution of a test statistic
What is the assumption required for the central limit theorem to hold?
The sample size must be large
What is the purpose of calculating the standard error in the context of parameter estimation?
To quantify the variability of the sample statistic
What is the conclusion if the sample proportion of UPS students who drink coffee is significantly different from the national average?
We reject the null hypothesis that the sample proportion is equal to the national average
What is the purpose of the central limit theorem in the context of statistical inference?
To describe the distribution of a sample mean as the sample size increases
A researcher wants to estimate the average length of a possum's head in a population. If the sample mean is 92.6 and the sample standard deviation is 3.6, what is the standard error of the sample mean?
2.8
In a hypothesis test, what does the null hypothesis Ho: Pc = Pt represent?
The vaccine has no effect on the infection rate
What is the z-score of a SAT score of 1310, given a mean of 1060 and a standard deviation of 195?
1.28
According to the 68-95-99.7 rule, what percentage of observations are within two standard deviations of the mean?
95%
What is the purpose of the standard normal distribution in statistical analysis?
To help us talk about other distributions based on z-scores
Test your understanding of normal distributions and the central limit theorem in statistics, including concepts such as skewness, multimodality, and standard deviations. Learn how to apply the central limit theorem to real-world problems and understand the importance of normal distributions in statistical analysis.
Make Your Own Quizzes and Flashcards
Convert your notes into interactive study material.
Get started for free
