A random sample of 47 observations was selected from a normally distributed population. The sample mean was x = 97.7, and the sample variance was s2 = 35.1. Does this sample show sufficient reason to conclude that the population standard deviation is not equal to 7.2 at the 0.05 significance level? (a) State the appropriate null and alternative hypotheses. Ho: σ ? < > = ≠ 7.2 Ha: σ ? < > = ≠ 7.2 (ii) Find χ2. (Give your answer correct to two decimal places.) (iii) Find the p-value. (Give your answer bounds exactly.) < p < (b) State the appropriate conclusion. Reject the null hypothesis, there is not significant evidence that the population standard deviation differs from 7.2.Reject the null hypothesis, there is significant evidence that the population standard deviation differs from 7.2. Fail to reject the null hypothesis, there is not significant evidence that the population standard deviation differs from 7.2.Fail to reject the null hypothesis, there is significant evidence that the population standard deviation differs from 7.2.
A random sample of 47 observations was selected from a normally distributed population. The sample mean was x = 97.7, and the sample variance was s2 = 35.1. Does this sample show sufficient reason to conclude that the population standard deviation is not equal to 7.2 at the 0.05 significance level? (a) State the appropriate null and alternative hypotheses. Ho: σ ? < > = ≠ 7.2 Ha: σ ? < > = ≠ 7.2 (ii) Find χ2. (Give your answer correct to two decimal places.) (iii) Find the p-value. (Give your answer bounds exactly.) < p < (b) State the appropriate conclusion. Reject the null hypothesis, there is not significant evidence that the population standard deviation differs from 7.2.Reject the null hypothesis, there is significant evidence that the population standard deviation differs from 7.2. Fail to reject the null hypothesis, there is not significant evidence that the population standard deviation differs from 7.2.Fail to reject the null hypothesis, there is significant evidence that the population standard deviation differs from 7.2.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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A random sample of 47 observations was selected from a normally distributed population. The sample mean was x = 97.7, and the sample variance was s2 = 35.1. Does this sample show sufficient reason to conclude that the population standard deviation is not equal to 7.2 at the 0.05 significance level?
(a) State the appropriate null and alternative hypotheses.
Ho: σ ? < > = ≠ 7.2
Ha: σ ? < > = ≠ 7.2
(ii) Find χ2. (Give your answer correct to two decimal places.)
(iii) Find the p-value. (Give your answer bounds exactly.)
< p <
(b) State the appropriate conclusion.
Ho: σ ? < > = ≠ 7.2
Ha: σ ? < > = ≠ 7.2
(ii) Find χ2. (Give your answer correct to two decimal places.)
(iii) Find the p-value. (Give your answer bounds exactly.)
< p <
(b) State the appropriate conclusion.
Reject the null hypothesis, there is not significant evidence that the population standard deviation differs from 7.2.Reject the null hypothesis, there is significant evidence that the population standard deviation differs from 7.2. Fail to reject the null hypothesis, there is not significant evidence that the population standard deviation differs from 7.2.Fail to reject the null hypothesis, there is significant evidence that the population standard deviation differs from 7.2.
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