A data set includes data from student evaluations of courses. The summary statistics are n=97​, x=3.44​, s=0.61. Use a 0.05 significance level to test the claim that the population of student course...




A data set includes data from student evaluations of courses. The summary statistics are
n=97​,

x=3.44​,

s=0.61.

Use a
0.05

significance level to test the claim that the population of student course evaluations has a mean equal to
3.50.

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=3.50



H1​:

μ≠3.50







B.



H0​:

μ=3.50



H1​:

μ>3.50







C.



H0​:

μ=3.50



H1​:

μ<>







D.



H0​:

μ≠3.50



H1​:

μ=3.50






Determine the test statistic.



nothing

​(Round to two decimal places as​ needed.)

Determine the​ P-value.



nothing

​(Round to three decimal places as​ needed.)

State the final conclusion that addresses the original claim.








Fail to reject

Reject




H0.

There is





sufficient

not sufficient




evidence to conclude that the mean of the population of student course evaluations is equal to
3.50






is

is not




correct.




Jun 10, 2022
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