Question

1) indicate the most appropriate statistical test 2) an assumption 3) weather the test is directional or non-directional (one tailed vs two tailed)

A. to determine if the average Math score at NYU is higher than 90

B. to determine whether seniors, juniors, sophomores, and freshmen differ in their attitudes (continuous) toward mandatory sexual education

C. to examine whether there is a relationship between final statistics scores and the number of time class was attended. 500 nurses were tested.

D. to determine whether there is a relationship between number of times one showers per month and level of hair itchiness (1=not at all, 5=very itchy) as measure by circling a body on the following images

E. a woman on a dating app feels a lot of guys lie about their height so she compares the average of their reported height with the average of their actual height to see if they are the same. She awkwardly measures the height of 43 guys in total in the bar throughout the year.

F. to determine of Oxycontin affects the amount of pain experienced post-surgery, Dr. House measured patients’ level of pain before the medication was administered, right after administration, and three hours after administration.

Answer 1

A)

1) Student t test for single mean

2) Here population standard deviation is not specified

3) It is Directional (One-tailed) test.

B)

1) Analysis of variance test (ANOVA): It is used to test the equality of several means.

2) Normality assumption satisfied.

3) It is a non-directional (Two-tailed) test.

C)

1)Test for correlation (Student t test for correlation).

2) Normality assumption

3) It is a non-directional (Two-tailed) test.

D)

1) Rank correlation test

2) No-parametric assumptions.

3) It is a non-directional (Two-tailed) test.

E)

1) Student t test for difference of means

2) Normality.

3) It is a non-directional (Two-tailed) test.

F)

1) Student paired 't' test.

2) Normality.

3) It is Directional (One-tailed) test.