Question

Question 6

A high school math teacher believes that male and female students who graduated from the school perform equally well on SAT math test. She randomly chooses 10 male students and 10 female students who graduated from this school. The following are the SAT math scores of the 20 students:

Male: 23, 30, 27, 29, 22, 34, 36, 28, 28, 31
Female: 22, 33, 30, 28, 28, 31, 34, 25, 29, 21

Give a 95% confidence interval for the difference in the mean SAT math score between male and female students who graduated from this school.

Question 6 options:

	-3.37 to 4.77
	-2.18 to 6.01
	-2,45 to 3.85
	-0.34 to 7.61

Question 7

A survey asks this question "How long did you spend on shopping in the past week?" The responses (in hours) of 15 people are given below:

3, 0, 4, 1, 6, 1, 2, 4, 5, 2, 5, 4, 2, 5, 3

Find a 95% confidence interval for the mean number of hours people spent on shopping in the past week.

Question 7 options:

	2.18 to 4.14
	2.15 to 4.11
	2.07 to 4.03
	1.94 to 3.90

Question 8

A survey asks this question "How long did you spend on shopping in the past week?" The responses (in hours) of 15 people are given below:

3, 0, 4, 1, 6, 1, 2, 4, 5, 2, 5, 4, 2, 5, 3

Test the claim that the mean number of hours people spent on shopping in the past week is greater than 3 hours.

What is the p-value?

Question 8 options:

	0.6128
	0.7744
	0.6635
	0.3872

Question 9

Twelve students who were not satisfied with their ACT scores particiapted in an online 10-hour training program. The ACT scores before and after the training for the 12 students are given below:

Student	Before	After
1	23	27
2	25	26
3	27	31
4	30	32
5	24	26
6	25	24
7	27	31
8	26	28
9	28	30
10	22	25
11	20	24
12	29	32

Test a claim that the program is effective in improving a student’ ACT score.

What is the p-value?

Question 9 options:

	Essentially 0
	0.0325
	0.0478
	1.000

Question 10

A county environmental agency suspects that the fish in a particular polluted lake have elevated mercury level. To confirm that suspicion, five striped bass in that lake were caught and their tissues were tested for mercury. For the purpose of comparison, four striped bass in an unpolluted lake were also caught and tested. The fish tissue mercury levels in mg/kg are given below.

polluted: 0.580, 0.711, 0.571, 0.666, 0.598
unpolluted: 0.382, 0.276, 0.570, 0.366

Construct the 90% confidence interval for the difference in the population means based on these data.

Question 10 options:

	0.05 to 0.40
	0.08 to 0.37
	0.10 to 0.35
	0.04 to 0.41

Answer 1

6. Let denote mean SAT math score for male and female students respectively.

7.

8. Let us denote the difference

d = ACT score before - ACT score after

10. Let denote the mercury levels in polluted and unpolluted lakes respectively.

ans-> (0.08, 0.37)