Question
You receive a brochure from a large university. The brochure indicates that the mean class size for?full-time faculty is fewer than 33 33 students. You
You receive a brochure from a large university. The brochure indicates that the mean class size for?full-time faculty is fewer than 33
33 students. You want to test this claim. You randomly select 18
18 classes taught by?full-time faculty and determine the class size of each. The results are shown in the table below. At alpha
?equals
=0.10
0.10?, can you support the?university's claim? Complete parts?(a) through?(d) below. Assume the population is normally distributed.
37
37
29
29
26
26
36
36
33
33
38
38
29
29
27
27
28
28
29
29
27
27
34
34
32
32
29
29
26
26
30
30
29
29
25
25
?(a) Write the claim mathematically and identify Upper H 0
H0 and Upper H Subscript a
Ha.
Which of the following correctly states Upper H 0
H0 and Upper H Subscript a
Ha??
A.
Upper H 0
H0?: mu
?equals
=33
33
Upper H Subscript a
Ha?: mu
?less than
33
33
B.
Upper H 0
H0?: mu
?equals
=33
33
Upper H Subscript a
Ha?: mu
?not equals
?33
33
C.
Upper H 0
H0?: mu
?less than or equals
?33
33
Upper H Subscript a
Ha?: mu
?greater than
>33
33
D.
Upper H 0
H0?: mu
?greater than
>33
33
Upper H Subscript a
Ha?: mu
?less than or equals
?33
33
E.
Upper H 0
H0?: mu
?less than
33
33
Upper H Subscript a
Ha?: mu
?greater than or equals
?33
33
F.
Upper H 0
H0?: mu
?greater than or equals
?33
33
Upper H Subscript a
Ha?: mu
?less than
33
33
?(b) Use technology to find the?P-value.
Pequals
=
nothing
?(Round to three decimal places as?needed.)
?(c) Decide whether to reject or fail to reject the null hypothesis.
Which of the following is?correct?
A.
Reject
Reject Upper H 0
H0 because the?P-value is less
less than the significance level.
B.
Reject
Reject Upper H 0
H0 because the?P-value is greater
greater than the significance level.
C.
Fail to reject
Failtoreject Upper H 0
H0 because the?P-value is greater
greater than the significance level.
D.
Fail to reject
Failtoreject Upper H 0
H0 because the?P-value is less
less than the significance level.
?(d) Interpret the decision in the context of the original claim.
?
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