1)Research has indicated that most 9-months old should sleep 14 hours a day. I think that this number might be different. To test this, I recruit 10 children who are 9-months-old to be in my study. Their guardians were instructed to keep track of how much daily sleep their infants got over the next 30 days. After 30 days the following average daily sleep totals were: 13,10, 13, 14, 16, 11, 14, 10., 12,10

a.State the research hypothesis, and the null hypothesis.

b., identify the appropriate statistical test, and perform the necessary calculations. please show your work.

c.Calculate the effect size (Cohen's d)

d.Using the .05 significance level (test the appropriate directional hypothesis), what can we conclude about the prediction that 9-month-old children will sleep for 14 hours a day?

2)I suspect that test anxiety might be different for students the longer they are in college. I gather a random sample of six students. These students took the College Test Anxiety Questionnaire (CTAQ) in both their first year and fourth year of school. The ratings for this test range from 1 to 7 with higher scores indicating more test anxiety Their data are as follows.

Person First Year Fourth Year

a71

b21

c64

d45

e55

f. 77

a.State the research hypothesis, and the null hypothesis.

b.Using what you know, identify the appropriate statistical test, and perform the necessary calculations. please show your work.

c.Using the .05 significance level (test the appropriate directional hypothesis), does college student test anxiety significantly decrease the longer they are in college?

3)A company CEO noticed that last year during the winter their employee's averaged 4.2 sick days. To reduce absences, the company offered free flu shots. The company sampled 100 people and noticed that those who got the flu shot they had an average of 3.6 absences with a Sum of Squares (SS) = 396.

a.State the research hypothesis, and the null hypothesis.

b. identify the appropriate statistical test, and perform the necessary calculations.

c.Using the .05 significance level (test the appropriate directional hypothesis), what do these results tell you about the effect of the flu shot on absences?