Question

A data set includes data from student evaluations of courses. The summary statistics are nequals=88, x overbarxequals=3.86, sequals=0.52. Use a 0.10 significance level to test the claim that the population of student course evaluations has a mean equal to 4. 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. Question content area bottom Part 1 What are the null and alternative hypotheses? A. Upper H 0H0: muμequals=4.00 Upper H 1H1: muμnot equals≠4.004.00 B. Upper H 0H0: muμequals=4.004.00 Upper H 1H1: muμgreater than>4.004.00 C. Upper H 0H0: muμnot equals≠4.004.00 Upper H 1H1: muμequals=4.004.00 D. Upper H 0H0: muμequals=4.004.00 Upper H 1H1: muμless than<4.004.00 Part 2 Determine the test statistic. enter your response here (Round to two decimal places as needed.) Part 3 Determine the P-value. enter your response here (Round to three decimal places as needed.) Part 4 State the final conclusion that addresses the original claim. ▼ Fail to reject Reject Upper H 0H0. There is ▼ sufficient not sufficient evidence to conclude that the mean of the population of student course evaluations is equal to 4.004.00 ▼ is not is correct.

          A data set includes data from student evaluations of courses. The summary statistics are
nequals=88,
x overbarxequals=3.86,
sequals=0.52.
Use a
0.10
significance level to test the claim that the population of student course evaluations has a mean equal to
4.
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.
Question content area bottom
Part 1
What are the null and alternative hypotheses?
A.
Upper H 0H0:
muμequals=4.00
Upper H 1H1:
muμnot equals≠4.004.00
B.
Upper H 0H0:
muμequals=4.004.00
Upper H 1H1:
muμgreater than>4.004.00
C.
Upper H 0H0:
muμnot equals≠4.004.00
Upper H 1H1:
muμequals=4.004.00
D.
Upper H 0H0:
muμequals=4.004.00
Upper H 1H1:
muμless than<4.004.00
Part 2
Determine the test statistic.
enter your response here
(Round to two decimal places as needed.)
Part 3
Determine the P-value.
enter your response here
(Round to three decimal places as needed.)
Part 4
State the final conclusion that addresses the original claim.
▼
Fail to reject
Reject
Upper H 0H0.
There is
▼
sufficient
not sufficient
evidence to conclude that the mean of the population of student course evaluations is equal to
4.004.00
▼
is not
is
correct.

Added by Teresa G.

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