1-Use the follow scenario to answer question 1 part a-f.

In a sample of n=100 adolescents the mean was calculated to be M=43.84. The normal population has a mean of = 40 and a standard deviation of =12. Does the sample provide evidence conclude that the sample is significantly different from those of the general population? Use a two-tail test with = 0.01.

1a) What is the null and alternative hypothesis?

A)H0: <40 H1: > 40

B)H0: >40 H1: < 40

C)H0: 40 H1: =40

D0: =40 H1: 40

1b) What is the positive value ofzcrit (the cut off for the critical region)?

1c)What is M?

1d)What is zobt?

1e)What conclusion do you draw?

A)Reject the null

B)fail to reject the null

1f)What is the value of Cohen d?

2)Use the following scenario for question 2 parts a-e.

In a sample of n=16 adolescents the mean was calculated to be M=76. The normal population has a mean of = 80 and a standard deviation of =12. Does the sample provide evidence conclude that the sample is significantly different from those of the general population? Use a two-tail test with = 0.05.

2a)What is the null and alternative hypothesis?

A)H0: >80 H1: < 80

B)H0: =80 H1: 80

C)H0: <80 H1: > 80

D)H0: 80 H1: =80

2b) What is the negative value ofzcrit (the cut off for the critical region)?

2c) What is M?

2d) What is zobt?

2e) What conclusion do you draw?

A)Fail to reject the null

B)Reject the null

3)Use the follow scenario to answer question 3 part a-e.

A researcher is interested in whether attending private school leads to better performance compared to attending public school. A sample of 100 students from a private school produced a mean score of 71.30 on a test. The nationwide average for public school students is 75.62 ( =28.0)

3a) Should we use a one tail or two tail test?

A) two tail

B) one tail

3b) What is the null and alternative hypothesis?

A)H0: <75.62 H1: > 75.62 B)H0: =75.62 H1: 75.62

C)H0: 75.62 H1: =75.62 D)H0: >75.62 H1: < 75.62

3c) What is zcrit for = 0.05 (the cut off for the critical region)?

3d) What is zobt?

3e) What conclusion do you draw?

A)Fail to reject the null

B)reject the null

Use the follow scenario to answer question 4 part a-e.

A car factory is testing whether 25 hybrid electric cars (M=76) get more miles compared to non-hybrid cars ( = 65, =24).

4a) Should we use a one tail or two tail test?

A)two tail

B) one tail

4b) What is the null and alternative hypothesis?

A)H0: M<65 H1: M> 65

B)H0: M>65 H1: M< 65

C)H0: M65 H1: M=65

D)H0: M=65 H1: M 65

4c) What is zcrit for = 0.05 (the cut off for the critical region)?

4d) What is zobt?

4e) What conclusion do you draw?

A)rejecr the null

B)fil to reject the null

Use the follow scenario to answer question 5 part a-e.

We ask if visual memory for a sample of 25 art majors (M=43) is different than that of the population whom, on a nationwide test, scored = 45, =14.

5a) Should we use a one tail or two tail test?

A) one tail

B) Two tail

5b) What is the null and alternative hypothesis?

A)H0: M=45 H1:M 45

B)H0: M45 H1: M=45

C)H0: M<45 H1: M> 4

D)H0: M>45 H1: M< 45

5c) What is negative value of zcrit for = 0.05 (the cut off for the critical region)?

5d) What is zobt?

5e) What conclusion do you draw?

A) Reject the null

B)Fail to reject the null

Use the follow scenario to answer question 6 part a-e.

We measure the self-esteem scores of a sample of statistic students, reasoning that this course may lower their self-esteem relative to that of the typical college student ( = 45,=11.35). We obtain the following scores:

445539172738362436

6a)What is the sample mean?

6b) What is the sample standard deviation?

6c) Using information from part a, what is the z-score for this sample mean?

6d) What is the null and alternative hypothesis?

A)H0: M<45 H1: M> 45

B)H0: M>45 H1: M< 45

C)0: M45 H1: M=45

D)H0: M=45. H1: M 45

6e) What conclusion do you draw (use = 0.05) ?

A) fail to reject the null

B)reject the null

7) A local school reports that the average GPA is 2.66 ( =0.40). What is the effect size if the sample GPA is 2.71:

Use the follow scenario to answer question 8 part a-e.

A normal population of cheerleader squads receive a mean rating of 75 ( =4.0). City College cheerleaders received a mean score of 78 on 36 local competitions. Using a one tail z test ( = 0.05) is the sample mean greater than the population mean?

8a) What is the null and alternative hypothesis?

A)H0: M75 H1: M=75

B)H0: M<75 H1: M> 75

C)H0: M=75 H1: M 75

D)H0: M>75 H1: M< 75

8b) What is the positive value of zcrit (the cut off for the critical region)?

8c) What is zobt?

8d) What conclusion do you draw?

A)Reject the null

B)fail to reject the null

8e) What is the value of Cohen d?

9) Subway sandwich have an average length of 12 inch (stdev= 0.5inch). A person measured, and then ate, 16 sandwich which had an average size of 12.25 inch. Did this person get sandwiches who size was above average (use a = 0.05)?

A)This sample of sandwiches are not significantly greater than the average lengt

B)This sample of sandwiches are significantly greater than the average length

10) To measure the effect of listening to music on test performance, we test a sample of n=49 people who scored an average of M=54.00. The mean score in a population not listening to music was = 50 (² =144) . Compute the z score for this sample