A data set includes data from student evaluations of courses. The summary statistics are nequals=8484, x overbarxequals=3.433.43 sequals= XXXXXXXXXX Use a XXXXXXXXXX significance level to test the...

A data set includes data from student evaluations of courses. The summary statistics are

nequals=8484,

x overbarxequals=3.433.43

sequals=0.620.62

Use a

0.010.01

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

3.503.50.

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.

Upper H 0H0:

muμnot equals≠3.503.50

Upper H 1H1:

muμequals=3.503.50

B.

Upper H 0H0:

muμequals=3.503.50

Upper H 1H1:

muμgreater than>3.503.50

C.

Upper H 0H0:

muμequals=3.503.50

Upper H 1H1:

muμnot equals≠3.503.50

D.

Upper H 0H0:

muμequals=3.503.50

Upper H 1H1:

muμless than<>

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.

Upper H 0H0.

There is

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

3.503.50

Jun 10, 2022

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