1) Do students perform worse when they take an exam alone then when they take an exam in a classroom setting? 8 students were given 2 tests of equal difficulty they took one test in a solitary room and they took the other in a room filled with other students the results are shown below. Alone: 84,84,76,71,78,71,86,76. Classroom: 81,88,77,77,87,75,85,74. Assume a normal distribution. What can be concluded at the 0.01 level of significance? A) for this study do we use a z test or t test and what kind? B) how would the null and alternate hypothesis be set up C) what is Test statistic and please show your answer to 3 decimal places D) What is the P value and please show your answer up to 4 decimal places E) What can we say about the knoll hypothesis and conclusion 2) Do college students enjoy play sports more than watching sports ?a researcher randomly selected 10 college students and ask them to rate playing sports and watching sports on a scale from 1 to 10 with 1 meaning they have no interest in 10 meeting they absolutely love it they absolutely love it the results of the study are shown below Play: 2,2,8,8,3,5,9,4,4,2. Watching: 1,2,10,8,1,2,8,4,1,2. Assume a normal distribution what can be concluded at the level of significance 0.10 A) For this study we should use either a T test or a Z test and decipher which one B) Write the null and alternative hypothesis C) What is the test statistic up to 3 decimal places D) What is the P value up to 4 decimal places E) Draw your conclusion on the hypothesis 3) Does 10K running time increase when the runner listens to music? 9 runners were timed as they ran at 10K with and without listening to music the running time and minutes are shown below. With music: 50,43,52,49,40,50,53,39,35. Without music: 44, 37, 46, 51, 43, 50,46,38,29. A) Determine for the study if we will use A t test or a Z test and explain which one B) Write the null and alternative hypothesis C) What is the test statistic and please show your answer of to 3 decimal places D) What is the P value and please share your answer up to 4 decimal places E) What is the P value compared to the level of significance F) Draw conclusion