Suppose the time it takes college students to complete their

Suppose the time it takes college students to complete their degree follows a Normal distribution with mean m and standard deviation s = 1.2 years. Based on a random sample of college students, you construct a 95% confidence interval for m and find it to be 1.26 ± 0.08 years. Which of the following is true?

H₀ of a test of the hypotheses H₀ : m = 1.2, H_a : m 1.2 would be rejected at the 0.05 level.

H₀ of a test of the hypotheses H₀ : m = 1.1, H_a : m 1.1 would be rejected at the 0.05 level.

H₀ of a test of the hypotheses H₀ : m = 1.3, H_a : m 1.3 would be rejected at the 0.05 level.

All the above

Solution

Here,

1.26 +/- 0.08 = (1.18, 1.34)

This includes both 1.2 and 1.3, but not 1.1.

Thus,

OPTION B: H0 of a test of the hypotheses H0 : m = 1.1, Ha : m =/= 1.1 would be rejected at the 0.05 level. [ANSWER]