A data set includes data from student evaluations of courses. The summary statistics are n=92​, x=3.93​, s=0.62. Use a 0.05 significance level to test the claim that the population of student course evaluations has a mean equal to 4.00. Assume that a simple random sample has been selected. Identify the null and alternative​ hypotheses, test​ statistic, P-value, and state the final conclusion that addresses the original claim. What are the null and alternative​ hypotheses?     A. H0​: μ=4.00 H1​: μ<4.00   B. H0​: μ≠4.00 H1​: μ=4.00   C. H0​: μ=4.00 H1​: μ≠4.00   D. H0​: μ=4.00 H1​: μ>4.00 Determine the test statistic.     ​(Round to two decimal places as​ needed.) Determine the​ P-value.   ​(Round to three decimal places as​ needed.) State the final conclusion that addresses the original claim.   ▼   Reject Fail to reject H0. There is ▼   sufficient not sufficient evidence to conclude that the original claim that the mean of the population of student course evaluations is equal to 4.00 ▼   is is not correct.

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A data set includes data from student evaluations of courses. The summary statistics are n=92​, x=3.93​, s=0.62. Use a 0.05 significance level to test the claim that the population of student course evaluations has a mean equal to 4.00. Assume that a simple random sample has been selected. Identify the null and alternative​ hypotheses, test​ statistic, P-value, and state the final conclusion that addresses the original claim.
What are the null and alternative​ hypotheses?
 
 
A.
H0​:
μ=4.00
H1​:
μ<4.00
 
B.
H0​:
μ≠4.00
H1​:
μ=4.00
 
C.
H0​:
μ=4.00
H1​:
μ≠4.00
 
D.
H0​:
μ=4.00
H1​:
μ>4.00
Determine the test statistic.
 
 
​(Round to two decimal places as​ needed.)
Determine the​ P-value.
 
​(Round to three decimal places as​ needed.)
State the final conclusion that addresses the original claim.
 
 
Reject
Fail to reject
H0.
There is
 
sufficient
not sufficient
evidence to conclude that the original claim that the mean of the population of student course evaluations is equal to
4.00
 
is
is not
correct.
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