# 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​,

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
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.)