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A police chief claims that the standard deviation of the lengths of response times is less than 3.7 minutes. A random sample of 9 response times has a standard deviation of 3.0 minutes. At α = 0.05, is there enough evidence to support the police chief’s claim? Assume the population is normally distributed.
a. Identify the claim and state H0 and Ha.
b. Identify the level of significance α and the degrees of freedom.
c. Find the critical value X02 and identify the rejection region.
d. Find the standardized test statistic X2.
e. Decide whether to reject the null hypothesis. Use a graph if necessary.
f. Interpret the decision in the context of the original claim. |
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