Question

Complete a full hypothesis test for the variance or standard deviation using a chi-square test. Include...

Complete a full hypothesis test for the variance or standard deviation using a chi-square test. Include the hypothesis, critical values, test values, and graph, your decision to accept or reject, and a summary of the information.

A researcher claims that the variance of the number of annual deaths from tornados is more than 1225. 11 years are randomly selected and have a variance of 1444. Is the researcher's claim believable at a = 0.05 level?

Homework Answers

Answer #1

Given : Sample size=n=11

Sample variance = s2 = 1444

Hypothesized value = = 1225

Significance level=

1) Hypothesis : Vs

2) Critical value : ; From excel "=CHIINV(0.05,10)"

Rejection region :

3) The test statistic is ,

Decision : Here , the value of the test statistic does not lies in the rejection region.

Therefore , fail to reject the null hypothesis.

Conclusion : Hence , there is not sufficient evidence to support the claims that the variance of the number of annual deaths from tornados is more than 1225.

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