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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=28.1 and the sample standard deviation is found to be s= 6.3. Determine if the population mean is different from 26 at the a= 0.01 level of significance. Complete parts (a) through (d) below. (a) Determine the null and alternative hypotheses. Ho H = 26 H₁: P #26 (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 greater than the a= 0.01 level of significance. O B. Do not reject H, because the P-value is less than the a= 0.01 level of significance. O C. Do not reject H, because the P-value is greater than the x = 0.01 level of significance. O D. 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 26.

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=28.1 and the sample standard deviation is found to be s= 6.3. Determine if the population mean is different from 26 at the a= 0.01 level of significance. Complete parts (a) through (d) below. (a) Determine the null and alternative hypotheses. Ho H = 26 H₁: P #26 (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 greater than the a= 0.01 level of significance. O B. Do not reject H, because the P-value is less than the a= 0.01 level of significance. O C. Do not reject H, because the P-value is greater than the x = 0.01 level of significance. O D. 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 26.

MATLAB: An Introduction with Applications
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 = 28.1 and the sample standard deviation is found to be s= 6.3. Determine if the population mean is different from 26 at the α = 0.01 level of significance. Complete parts (a) through (d) below. (a) Determine the null and alternative hypotheses. = 26 #26 H₂: P H₂₁: H (b) Calculate the P-value P-value= (Round to three decimal places as needed.) (c) State the conclusion for the test. O A. Reject Ho because the P-value is greater than the α = 0.01 level of significance. O B. Do not reject Ho because the P-value is less than the x = 0.01 level of significance. O C. Do not reject Ho because the P-value is greater than the x = 0.01 level of significance. O 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 a= 0.01 level of significance to conclude that the population mean is different from 26. G
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 = 28.1 and the sample standard deviation is found to be s= 6.3. Determine if the population mean is different from 26 at the α = 0.01 level of significance. Complete parts (a) through (d) below. (a) Determine the null and alternative hypotheses. = 26 #26 H₂: P H₂₁: H (b) Calculate the P-value P-value= (Round to three decimal places as needed.) (c) State the conclusion for the test. O A. Reject Ho because the P-value is greater than the α = 0.01 level of significance. O B. Do not reject Ho because the P-value is less than the x = 0.01 level of significance. O C. Do not reject Ho because the P-value is greater than the x = 0.01 level of significance. O 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 a= 0.01 level of significance to conclude that the population mean is different from 26. G
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