Question

Consider the hypotheses below.

H0:μ=50

H1:μ≠50 Given that x=52, s=8, n=20, and α=0.10, answer the questions below.

a. What conclusion should be drawn?

b. Use technology to determine the p-value for this test.

a. Determine the critical value(s). The critical value(s) is(are) . (Round to three decimal places as needed. Use a comma to separate answers as needed.)

Determine the test statistic, t-x= Round to two decimal places as needed.)

What conclusion should be drawn? Choose the correct answer below.

A. Do not reject Do not reject the null hypothesis. The data provide provide sufficient evidence to conclude that the mean differs from μ = 50

B. Reject Reject the null hypothesis. The data provide provide sufficient evidence to conclude that the mean differs from μ=50

C. Reject Reject the null hypothesis. The data do not provide do not provide sufficient evidence to conclude that the mean differs from μ=50.

D. Do not reject Do not reject the null hypothesis. The data do not provide do not provide sufficient evidence to conclude that the mean differs from μ=50

b. Use technology to determine the p-value for this test. What is the p-value? p-value= (Round to three decimal places as needed.) .

Answer #1

Solution :

= 50

=52

s = 8

n = 20

This is the two tailed test .

The null and alternative hypothesis is ,

H_{0} : =
50

H_{a} :
50

Test statistic = t

= ( - ) / s / n

= (52-50) / 8 / 20

= 1.118

Test statistic = t = 1.118

P-value =0.277

= 0.10

P-value ≥

0.277 ≥ 0.10

Do not reject Do not reject the null hypothesis

The data do not provide do not provide sufficient evidence to conclude that the mean differs from μ=50

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