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= 30 2 and the sample standard deviation is found to be s= 6.3. Determine if the population mean is different from 24 at the a = 0.01 level of significance. Complete parts (a) through (d) below. (a) Determine the null and alternative hypotheses Ho V 24 V 24 H, (b) Calculate the P-value. P-value =O (Round to three decimal places as needed.) (c) State the conclusion for the test O A. Reject H, because the P-value is less than the a= 0.01 level of significance. O B. Reject Hg because the P-value is greater than the a = 0.01 level of significance OC. Do not reject H, because the P.value is greater than the a= 0.01 level of significance. O D. Do not 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 V sufficient evidence at the a= 0.01 level of significance to conclude that the population mean is different from 24.
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= 30 2 and the sample standard deviation is found to be s= 6.3. Determine if the population mean is different from 24 at the a = 0.01 level of significance. Complete parts (a) through (d) below. (a) Determine the null and alternative hypotheses Ho V 24 V 24 H, (b) Calculate the P-value. P-value =O (Round to three decimal places as needed.) (c) State the conclusion for the test O A. Reject H, because the P-value is less than the a= 0.01 level of significance. O B. Reject Hg because the P-value is greater than the a = 0.01 level of significance OC. Do not reject H, because the P.value is greater than the a= 0.01 level of significance. O D. Do not 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 V sufficient evidence at the a= 0.01 level of significance to conclude that the population mean is different from 24.
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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![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= 30.2 and the sample standard deviation is found to be s = 6.3. Determine if the population mean is different from 24 at the a= 0.01 level of significance. Complete parts (a) through (d) below.
(a) Determine the null and alternative hypotheses.
Ho:
V24
H1:
V24
(b) Calculate the P-value.
P-value =
(Round to three decimal places as needed.)
(c) State the conclusion for the test.
O A. Reject H, because the P-value is less than the a = 0.01 level of significance.
O B. Reject H, because the P-value is greater than the a= 0.01 level of significance.
OC. Do not reject H, because the P-value is greater than the a= 0.01 level of significance.
O D. Do not 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 24.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc711fdd5-4dce-4afe-8d00-da2c02615391%2F55df529f-275d-4706-b039-f5c1d894d5e1%2Ftnmt4km_processed.jpeg&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= 30.2 and the sample standard deviation is found to be s = 6.3. Determine if the population mean is different from 24 at the a= 0.01 level of significance. Complete parts (a) through (d) below.
(a) Determine the null and alternative hypotheses.
Ho:
V24
H1:
V24
(b) Calculate the P-value.
P-value =
(Round to three decimal places as needed.)
(c) State the conclusion for the test.
O A. Reject H, because the P-value is less than the a = 0.01 level of significance.
O B. Reject H, because the P-value is greater than the a= 0.01 level of significance.
OC. Do not reject H, because the P-value is greater than the a= 0.01 level of significance.
O D. Do not 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 24.
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