(Solved): Do students perform the same when they take an exam alone as when they take an exam in a clas ...

Do students perform the same when they take an exam alone as when they take an exam in a classroom setting? Eight students were given two 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. Assume a Normal distribution. What can be concluded at the the $?=0.05$ level of significance level of significance? For this study, we should use $\mathrm{t}$ a. The null and alternative hypotheses would be: $H_0:$ $1/$ (please enter a decimal) $H_1:$ (Please enter a decimal) b. The test statistic $?=$ (please show your answer to 3 decimal places.) c. The $\mathrm{p}$-value $=$ (Please show your answer to 4 decimal places.) d. The p-value is $??$ e. Based on this, we should the null hypothesis. Do college students enjoy playing sports less than watching sports? A researcher randomly selected ten college students and asked them to rate playing sports and watching sports on a scale from 1 to 10 with 1 meaning they have no interest and 10 meaning they absolutely love it. The results of the study are shown below. Playing Vs. Watching Sports Assume a Normal distribution. What can be concluded at the the $?=0.05$ level of significance level of significance? For this study, we should use a. The null and alternative hypotheses would be: $H_0:$ (please enter a decimal) $H_1:$ (Please enter a decimal) b. The test statistic $?=$ (please show your answer to 3 decimal places.) c. The $p$-value $=$ (Please show your answer to 4 decimal places.) d. The p-value is $??$ e. Based on this, we should the null hypothesis.