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?
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.
Get Answers For Free
Most questions answered within 1 hours.