The dean of a university estimates that the mean number of classroom hours per week for full-time faculty is 11.0. As a member of the student council, you want to test this claim. A random sample of the number of classroom hours for eight full-time faculty for one week is shown in the table below. At α=0.01, can you reject the dean's claim? Complete parts (a) through (d) below. Assume the population is normally distributed. 12.2 7.7 11.5 7.1 6.1 9.5 14.6 9.9 (a) Write the claim mathematically and identify H0 and Ha. Which of the following correctly states H0 and Ha? A. H0: μ>11.0 Ha: μ≤11.0 B. H0: μ<11.0 Ha: μ≥11.0 C. H0: μ≤11.0 Ha: μ>11.0 D. H0: μ=11.0 Ha: μ≠11.0 E. H0: μ≥11.0 Ha: μ<11.0 F. H0: μ≠11.0 Ha: F. H0: μ≠11.0 Ha: μ=11.0 (b) Use technology to find the P-value. P= (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 H0 because the P-value is greater than the significance level. B. Fail to reject H0 because the P-value is less than the significance level. C. Reject H0 because the P-value is less than the significance level. D. Fail to reject H0 because the P-value is greater than the significance level. (d) Interpret the decision in the context of the original claim. A. At the 1% level of significance, there is sufficient evidence to reject the claim that the mean number of classroom hours per week for full-time faculty is 11.0. B. At the 1% level of significance, there is not sufficient evidence to reject the claim that the mean number of classroom hours per week for full-time faculty is 11.0. C. At the 1% level of significance, there is sufficient evidence to reject the claim that the mean number of classroom hours per week for full-time faculty is greater than 11.0. D. At the 1% level of significance, there is not sufficient evidence to reject the claim that the mean number of classroom hours per week for full-time faculty is less than 11.0.
The dean of a university estimates that the mean number of classroom hours per week for full-time faculty is 11.0. As a member of the student council, you want to test this claim. A random sample of the number of classroom hours for eight full-time faculty for one week is shown in the table below. At α=0.01, can you reject the dean's claim? Complete parts (a) through (d) below. Assume the population is normally distributed. 12.2 7.7 11.5 7.1 6.1 9.5 14.6 9.9 (a) Write the claim mathematically and identify H0 and Ha. Which of the following correctly states H0 and Ha? A. H0: μ>11.0 Ha: μ≤11.0 B. H0: μ<11.0 Ha: μ≥11.0 C. H0: μ≤11.0 Ha: μ>11.0 D. H0: μ=11.0 Ha: μ≠11.0 E. H0: μ≥11.0 Ha: μ<11.0 F. H0: μ≠11.0 Ha: F. H0: μ≠11.0 Ha: μ=11.0 (b) Use technology to find the P-value. P= (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 H0 because the P-value is greater than the significance level. B. Fail to reject H0 because the P-value is less than the significance level. C. Reject H0 because the P-value is less than the significance level. D. Fail to reject H0 because the P-value is greater than the significance level. (d) Interpret the decision in the context of the original claim. A. At the 1% level of significance, there is sufficient evidence to reject the claim that the mean number of classroom hours per week for full-time faculty is 11.0. B. At the 1% level of significance, there is not sufficient evidence to reject the claim that the mean number of classroom hours per week for full-time faculty is 11.0. C. At the 1% level of significance, there is sufficient evidence to reject the claim that the mean number of classroom hours per week for full-time faculty is greater than 11.0. D. At the 1% level of significance, there is not sufficient evidence to reject the claim that the mean number of classroom hours per week for full-time faculty is less than 11.0.
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
Related questions
Question
14) The dean of a university estimates that the mean number of classroom hours per week for full-time faculty is
11.0.
As a member of the student council, you want to test this claim. A random sample of the number of classroom hours for eight full-time faculty for one week is shown in the table below. At
α=0.01,
can you reject the dean's claim? Complete parts (a) through (d) below. Assume the population is
12.2
7.7
11.5
7.1
6.1
9.5
14.6
9.9
(a) Write the claim mathematically and identify
H0
and
Ha.
Which of the following correctly states
H0
and
Ha?
H0:
μ>11.0
Ha:
μ≤11.0
H0:
μ<11.0
Ha:
μ≥11.0
H0:
μ≤11.0
Ha:
μ>11.0
H0:
μ=11.0
Ha:
μ≠11.0
H0:
μ≥11.0
Ha:
μ<11.0
H0:
μ≠11.0
Ha:
F.
B.
C.
D.
B.
C.
D.
H0:
μ≠11.0
Ha:
μ=11.0
(b) Use technology to find the P-value.
P=
(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
H0
because the P-value is
greater than
the significance level.Fail to reject
H0
because the P-value is
less than
the significance level.Reject
H0
because the P-value is
less than
the significance level.Fail to reject
H0
because the P-value is
greater than
the significance level.(d) Interpret the decision in the context of the original claim.
A.
At the
1%
level of significance, there
is
sufficient evidence to reject the claim that the mean number of classroom hours per week for full-time faculty is
11.0.
At the
1%
level of significance, there
is not
sufficient evidence to reject the claim that the mean number of classroom hours per week for full-time faculty is
11.0.
At the
1%
level of significance, there
is
sufficient evidence to reject the claim that the mean number of classroom hours per week for full-time faculty is
greater than
11.0.
At the
1%
level of significance, there
is not
sufficient evidence to reject the claim that the mean number of classroom hours per week for full-time faculty is
less than
11.0.
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