1. A hypothesis test forH₀: = 35 versusH₁: 35yielded a test statistic of T = 17.0 and a p-value < 0.0001 with a sample size of n=52.

Which of the following could be the corresponding 95% confidence interval to accompany this hypothesis test?

a.(16.0, 18.0)

b.(-2.3, 14,6)

c.(113.8, 134.8)

Researchers conducted an observational study of adults with type 2 diabetes to examine the difference in average HbA1c level different for two treatment groups. They enrolled a total of 74 adults with type 2 diabetes: 38 on treatment A and 36 on treatment B.The average HbA1c for treatment A was 8. The average HbA1c for treatment B was 8.5.

They obtained the following two sets of output:

Output 1: t = -1.37 df = 72 two-sided p-value = 0.17 95% CI: (-1.22, 0.23)

Output 2: t = -1.35 df = 50.8 two-sided p-value = 0.18 95% CI: (-1.24, 0.24)

Which of the outputs performs a two-sample t test without assuming equal variances?

a. Output 1

b. Output 2