Q2) One sample z- and t-tests JASP (6 points)

Use the provided Q2&Q3 data set to answer all questions for Q2. I want to know whether the average amount of sleep for the class differs from the general U.S. population. Recent data from Gallup indicated that the mean amount of sleep for Americans (i.e., population average) is 6.8 hours. They did not report the variability of those scores (i.e., the population standard deviation). The alpha level was set at = .05.

Q2a. What is the appropriate test statistic for this question (a one-sample z-test or one-sample t-test)? [1 point]

Q2b. Explain why the test chosen in Q2a is appropriate for answering this research question. [1 point]

Q2c. What would be the null and alternative hypotheses in both words and symbol notations for my analysis? [2 points total: 0.5 for null and 0.5 for alternative written format and 0.5 for null and 0.5 for symbol notation]

	Written	Symbolic Symbol bank for copy & pasting: = < > m
Null		H0:
Alternative		H1:

Q2d. Based on the research question (Does the average amount of sleep for the class differ from the general U.S. population?), is the alternative hypothesis one-tailed (directional) or two-tailed (non-directional)? [1 point]

Q2e. Calculate the z- or t- test statistic (depending on which is more appropriate based on this scenario - as answered in Q2a). Round the result to the hundredth (2^nd place to the right of the decimal [1 point:type of test and answer must be correct]

Q3) One sample z- and t-tests JASP (10 points)

Use the provided Q2&Q3 data set to answer all questions for Q3. I want to know whether the average amount of sleep for the class differs from the general U.S. population. Recent data from Gallup indicated that the mean amount of sleep for Americans (i.e., population average) is 6.8 hours. For the t-test assume we do not know the variability of the scores, but for the z-test, SD = .4). The alpha level was set at = .05.

Q3a. Using JASP, conduct a one-sample z-test AND a one-sample t-test. Report both test statistics. [2 points, 1 point each test]

Q3b. Use JASP to calculate the degree of freedom [1 point]

Q3c. What is the p value for both tests? Compare the p value to the alpha. Are the tests significant? Based on this comparison, do we "reject" or "fail to reject" the null hypothesis? [2 points: 1 point for each test]

Q3d. Interpret the result in 1 sentence to answer the research question. RQ = Is the average amount of sleep for the class significantly different from the general U.S. population? (you may use the wording of the hypothesis or explain it in your own words). [1 point]

Q3e. Use JASP to calculate effect size of these hypothesis tests and report both. State the effect size and explain your conclusion of the strength of both tests. Round the result to the hundredth (2^nd place to the right of the decimal). [3 points: 1 point Cohen's d for each test, 1 point conclusion]

Q3f. Use JASP to calculate Confidence Intervals for both tests. [2points: 1 point for each test]