A sleep center hypothesizes that people who sleep only four hours will score lower than people who sleep for eight hours on a cognitive skills test.

Group Y: Four hrs sleepConduct the following hypothesis test:- A one-tail T-test for a two-sample difference in means at the 95% confidence level- with Null Hypothesis that the Group X mean CAT score is equal to the Group Y mean CAT score- and with Alternate Hypothesis that the Group X mean CAT score is greater than the Group Y mean CAT score1. Calculate the mean and standard deviation of the scores for each group. (10%)2. Using the correct degrees of freedom (df = group X size + group Y size ̶ # of groups), the correct number of tails, and at the correct confidence level, determine the critical value of t. (10%)3. Explain under which scenarios using a pooled variance be inadvisable, then, calculate the pooled variance (formula for S2 is onpage 379) for the groups. (10%)4. Calculate the test statistic, Ttest (formula for t is on page 380). (10%)5. The sleep center’s statistician tells you that the p-value for the test is 0.1535. Summarize the result of the study. Compare the mean scores in each group. Compare the test statistic to the critical value. Compare the p-value to alpha. Do you find a statistically significant difference between Group X and Group Y on cognitive test performance? Is there a meaningful/practical difference? Explain your decisions and Justify your claims. (15%)

Students are often burdened with the task of writing essays. They need to master various academic topics, understand how to integrate facts and arguments, and organize all of this information in a clear and logical way. This is not an easy task for many students. But fear not! We’ve got your back. Here at MoreEssays.com, we offer professional academic help that can take on all these tasks on your behalf. All you need to do is fill out the ** Order** form with your paper’s details, and we will get started on it right away!

Click Here to get this paper done within your deadline