Question

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

nequals=9393​,

x overbarxequals=3.453.45​,

sequals=0.630.63.

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

Your answer is correct.

D.

Upper H 0H0​:

muμequals=3.503.50

Upper H 1H1​:

muμless than<3.503.50

Determine the test statistic.

nothing

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

Answer 1

The statistical software output for this problem is:

One sample T summary hypothesis test: :Mean of population Ho u 3.5 HA 3.5 Hypothesis test results: Mean Sample Mean Std. Err P-value DF T-Stat 0.446 3.45 0.065327957 92-0.76536911

Hence,

Hypotheses: Option C is correct.

Test statistic = -0.77