Reference no: EM132857074

The midterm scores for samples of students from two sections of a large course have the following summary statistics:

# of Students Mean Standard Deviation

Section A01 10 64.6 20.20

Section A02 8 71.0 11.27

1. A 99% confidence interval for the difference in the true mean midterm scores of section A01 and A02 students is calculated. Which of the follwing provides a correct interpretation of this interval?

a. Approximately 99% of samples of 10 students from A01 and 8 students from A02 will have a difference in midterm scores between the endpoints of the calculated confidence interval.

b. In repeated samples of 10 A01 students and 8 A02 students, 99% of similarly constructed intervals will contain the difference in sample mean midterm scores

c. In repeated samples of 10 A01 studeents and 8 A02 students, 99% of similarly constructed intervals will contain the difference in true mean scores of A01 students and A02 students.

D. the probability of μ1 - μ2, lies in the calculated interval is 0.99

2. We would like to conduct a hypothesis test to determine when the true mean midterm score for section A02 students is higher than the true mean midterm score for section A01 students. What are the hypotheses for the appropriate test of significance?

A. Ho: x¯ A02 = x¯ A01 vs. Ha: x¯ A02 > x¯A 01

B. Ho: μA02 = μA01 vs. Ha: μA02 > μA01

C. Ho: μA02 = μA01 vs. Ha:μA02 ≠ μA01

D. Ho: x¯ A02 = x¯ A01 vs. Ha: x¯ A02 ≠ x¯A 01

3. Refer to the previous question, Using the critical value method of hypothesis testing, with a 10% level signicance, we would Ho if:

a. t≥ 1.746 or t≤ -1.746

b. t≥ 1.895 or t≤ -1.895

c. t≥ 1.895

d. t≥ 1.415

e. t≥ 1.746

f. t≥ 1.337

G t≥ 1.337 or t≤ -1.337

H t≥ 1.415 or t≤ -1.415