A sample mean, sample standard deviation, and sample size are given. Use the one-mean t-test to perform the required hypothesis test about the mean, μ, of the population from which the sample was drawn. Use the P-value approach. Also, assess the strength of the evidence against the null hypothesis. x=22,298, s = 14,200, n=17, Ho: μ= 30,000, H₁: μ#30,000 α=0.05. OA. Test statistic: t= -2.24. P-value = 0.0250. Reject the null hypothesis. There is sufficient evidence to conclude that the mean is different from 30,000. The evidence against the null hypothesis is strong. OB. Test statistic: t= -2.24. P-value = 0.0399. Reject the null hypothesis. There is sufficient evidence to conclude that the mean is different from 30,000. The evidence against the null hypothesis is strong. OC. Test statistic: t= -2.24. P-value = 0.9601. Do not reject the null hypothesis. There is not sufficient evidence to conclude that the mean is different from 30,000. The evidence against the null hypothesis is weak or none. OD. Test statistic: t= -2.24. P-value = 0.0200. Reject the null hypothesis. There is sufficient evidence to conclude that the mean is different from 30,000. The evidence against the null hypothesis is strong.
A sample mean, sample standard deviation, and sample size are given. Use the one-mean t-test to perform the required hypothesis test about the mean, μ, of the population from which the sample was drawn. Use the P-value approach. Also, assess the strength of the evidence against the null hypothesis. x=22,298, s = 14,200, n=17, Ho: μ= 30,000, H₁: μ#30,000 α=0.05. OA. Test statistic: t= -2.24. P-value = 0.0250. Reject the null hypothesis. There is sufficient evidence to conclude that the mean is different from 30,000. The evidence against the null hypothesis is strong. OB. Test statistic: t= -2.24. P-value = 0.0399. Reject the null hypothesis. There is sufficient evidence to conclude that the mean is different from 30,000. The evidence against the null hypothesis is strong. OC. Test statistic: t= -2.24. P-value = 0.9601. Do not reject the null hypothesis. There is not sufficient evidence to conclude that the mean is different from 30,000. The evidence against the null hypothesis is weak or none. OD. Test statistic: t= -2.24. P-value = 0.0200. Reject the null hypothesis. There is sufficient evidence to conclude that the mean is different from 30,000. The evidence against the null hypothesis is strong.
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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Transcribed Image Text:A sample mean, sample standard deviation, and sample size are given. Use the one-mean t-test to perform
the required hypothesis test about the mean, μ, of the population from which the sample was drawn. Use the
P-value approach. Also, assess the strength of the evidence against the null hypothesis.
x = 22,298, s = 14,200, n=17, Ho: μ = 30,000, H₂: μ#30,000 x = 0.05.
O A. Test statistic: t= -2.24. P-value = 0.0250. Reject the null hypothesis. There is sufficient evidence to
conclude that the mean is different from 30,000. The evidence against the null hypothesis is strong.
B. Test statistic: t= -2.24. P-value = 0.0399. Reject the null hypothesis. There is sufficient evidence to
conclude that the mean is different from 30,000. The evidence against the null hypothesis is strong.
O C. Test statistic: t= -2.24. P-value = 0.9601. Do not reject the null hypothesis. There is not sufficient
evidence to conclude that the mean is different from 30,000. The evidence against the null
hypothesis is weak or none.
O D. Test statistic: t= -2.24. P-value = 0.0200. Reject the null hypothesis. There is sufficient evidence to
conclude that the mean is different from 30,000. The evidence against the null hypothesis is strong.
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