A simple random sample of size n = 15 is drawn from a population that is normally distributed. The sample mean is found to be x = 27.9 and the sample standard deviation is found to be s = 6.3. Determine if the population mean is different from 25 at the a=0.01 level of significance. Complete parts (a) through (d) below. (a) Determine the null and alternative hypotheses. 25 Ho: H₁: ▼25 (b) Calculate the P-value. P-value= (Round to three decimal places as needed.) (c) State the conclusion for the test. OA. Reject H, because the P-value is greater than the x = 0.01 level of significance. OB. Do not reject H, because the P-value is greater than the x = 0.01 level of significance. OC. Do not reject H, because the P-value is less than the x = 0.01 level of significance. OD. Reject H, because the P-value is less than the a=0.01 level of significance. (d) State the conclusion in context of the problem. There ✓ sufficient evidence at the a= 0.01 level of significance to conclude that the population mean is different from 25.
A simple random sample of size n = 15 is drawn from a population that is normally distributed. The sample mean is found to be x = 27.9 and the sample standard deviation is found to be s = 6.3. Determine if the population mean is different from 25 at the a=0.01 level of significance. Complete parts (a) through (d) below. (a) Determine the null and alternative hypotheses. 25 Ho: H₁: ▼25 (b) Calculate the P-value. P-value= (Round to three decimal places as needed.) (c) State the conclusion for the test. OA. Reject H, because the P-value is greater than the x = 0.01 level of significance. OB. Do not reject H, because the P-value is greater than the x = 0.01 level of significance. OC. Do not reject H, because the P-value is less than the x = 0.01 level of significance. OD. Reject H, because the P-value is less than the a=0.01 level of significance. (d) State the conclusion in context of the problem. There ✓ sufficient evidence at the a= 0.01 level of significance to conclude that the population mean is different from 25.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Question
![A simple random sample of size n = 15 is drawn from a population that is normally distributed. The sample mean is found to be x = 27.9 and the sample standard deviation is found to be s = 6.3. Determine if the population mean is different from
25 at the α = 0.01 level of significance. Complete parts (a) through (d) below.
(a) Determine the null and alternative hypotheses.
Ho:
25
H₁:
25
(b) Calculate the P-value.
P-value =
(Round to three decimal places as needed.)
(c) State the conclusion for the test.
A. Reject Ho because the P-value is greater than the x = 0.01 level of significance.
B. Do not reject Ho because the P-value is greater than the α = 0.01 level of significance.
C. Do not reject Ho because the P-value is less than the x = 0.01 level of significance.
D. Reject Ho because the P-value is less than the x = 0.01 level of significance.
(d) State the conclusion in context of the problem.
There
sufficient evidence at the α = 0.01 level of significance to conclude that the population mean is different from 25.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbeef81c8-e59c-4f32-9a90-8a508ac9345c%2F3144b276-4cc2-4b2e-8e8a-f340f79f1469%2Fy1a8m8_processed.png&w=3840&q=75)
Transcribed Image Text:A simple random sample of size n = 15 is drawn from a population that is normally distributed. The sample mean is found to be x = 27.9 and the sample standard deviation is found to be s = 6.3. Determine if the population mean is different from
25 at the α = 0.01 level of significance. Complete parts (a) through (d) below.
(a) Determine the null and alternative hypotheses.
Ho:
25
H₁:
25
(b) Calculate the P-value.
P-value =
(Round to three decimal places as needed.)
(c) State the conclusion for the test.
A. Reject Ho because the P-value is greater than the x = 0.01 level of significance.
B. Do not reject Ho because the P-value is greater than the α = 0.01 level of significance.
C. Do not reject Ho because the P-value is less than the x = 0.01 level of significance.
D. Reject Ho because the P-value is less than the x = 0.01 level of significance.
(d) State the conclusion in context of the problem.
There
sufficient evidence at the α = 0.01 level of significance to conclude that the population mean is different from 25.
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