# Consider the hypotheses below. H0: μ=50 H1: μ≠50 Given that x overbar equals x=51,s=10,n=25,and alpha equals=0.05,…

Consider the hypotheses below.

H0: μ=50

H1: μ≠50

Given that x overbar equals x=51,s=10,n=25,and alpha

equals=0.05,

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)

nothing.

(Round to three decimal places as needed. Use a comma to

separate answers as needed.)

Determine the test statistic,

(Round to two decimal places as needed.)

What conclusion should be drawn? Choose the correct answer

below.

A.

Reject the null hypothesis. The data provide

sufficient evidence to conclude that the mean differs from

μ=50

B.

Do not reject the null hypothesis. The data

do not provide sufficient evidence to conclude that the mean

differs from μ=50

C.

Do not reject the null hypothesis. The data

provide sufficient evidence to conclude that the mean differs

from

μ=50

D.

Reject the null hypothesis. The data 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.)

Click to select your answer(s).