Question

Complete the hypothesis test with alternative hypothesis μ_d < 0 based on the paired data that follow and d = M - N. Use α = 0.02. Assume normality.

M	60	76	67	61	55	64
N	62	78	73	66	63	67

(a) Find t. (Give your answer correct to two decimal places.)


(ii) Find the p-value. (Give your answer correct to four decimal places.)

(b) State the appropriate conclusion.

Reject the null hypothesis, there is significant evidence that μ_d < 0.

Reject the null hypothesis, there is not significant evidence that μ_d < 0.   

Fail to reject the null hypothesis, there is significant evidence that μ_d < 0.

Fail to reject the null hypothesis, there is not significant evidence that μ_d < 0.

Answer 1

The statistical software output for this problem is:

Hence,

a) t = -4.38

ii) p-value = 0.0036

b) Option A is correct.