A professor decides to run an experiment to measure the effect of time pressure on final exam scores. He gives each of the 400 students in his course the same final exam, but some students have 90 minutes to complete the exam while others have 120 minutes. Each student is randomly assigned one of the examination times based on the flip of a coin. Let Y, denote the number of points scored on the exam by the " student (0 s Y, s100), let X, denote the amount of time that the student has to complete the exam (X, = 90 or 120), and consider the regression model Y; = Bo + B,X; + uj, E (u) =0 Which of the following are true about the unobservable u? (Check all that apply)

If a coin is flipped 225 times and the number of Hs is 75. Compute the proportion of Hs. Round to three places.

A survey found that in a sample of 100 families, 37 owned cats. A survey done 5 years ago found that in a sample of 80 families, 34 owned cats. At ? = 0.05 has the proportion of cat owners changed over the 5-year period?

In a science fair​ project, Emily conducted an experiment in which she tested professional touch therapists to see if they could sense her energy field. She flipped a coin to select either her right hand or her left​ hand, and then she asked the therapists to identify the selected hand by placing their hand just under​ Emily's hand without seeing it and without touching it. Among 350 ​trials, the touch therapists were correct 165 times. Complete parts​ (a) through​ (d).

Elaine is interested in determining if men are more satisfied in their jobs than women in the healthcare industry. She administers a job satisfaction questionnaire to 20 men and 20 women working in hospital administration. Her grouping variable is gender and dependent variable is job satisfaction. The job satisfaction scale consists of 8 items measured using a 5-point rating scale. A higher score on this scale would indicate high job satisfaction. The maximum score that can be obtained on the scale is 40. We can assume that job satisfaction scores are normally distributed. Use the appropriate T test with a significance level of 0.05 to test the hypothesis.   Research Question   Do the mean job satisfaction scores differ for men and women working in the hospital administration department?   Hypothesis- The mean job satisfaction scores do not differ for men and women working in the hospital administration department.   Write a Results section based on your analysis. Interpret results of…

Is the average time to complete an obstacle course longer when a patch is placed over the right eye than when a patch is placed over the left eye? Eight randomly selected volunteers first completed an obstacle course with a patch over one eye and then completed an equally difficult obstacle course with a patch over the other eye. The completion times are shown below. "Left" means the patch was placed over the left eye and "Right" means the patch was placed over the right eye. Right 40 46 42 45 40 48 42 42 Left 38 46 41 45 36 45 39 43 Assume a Normal distribution.  What can be concluded at the the αα = 0.05 level of significance level of significance? For this study, we should use        The null and alternative hypotheses would be:        H0:H0:                  (please enter a decimal)     Ha:Ha:                  (Please enter a decimal) The test statistic     =  (please show your answer to 3 decimal places.) The p-value =  (Please show your answer to 4 decimal places.) The…

Elaine is interested in determining if men are more satisfied in their jobs than women in the healthcare industry. She administers a job satisfaction questionnaire to 20 men and 20 women working in hospital administration. Her grouping variable is gender and dependent variable is job satisfaction. The job satisfaction scale consists of 8 items measured using a 5-point rating scale. A higher score on this scale would indicate high job satisfaction. The maximum score that can be obtained on the scale is 40. We can assume that job satisfaction scores are normally distributed. Use the appropriate T test with a significance level of 0.05 to test the hypothesis.   Research Question   Do the mean job satisfaction scores differ for men and women working in the hospital administration department?   Hypothesis   The mean job satisfaction scores do not differ for men and women working in the hospital administration department.     Compute an independent sample t test on these data. Report…