For each problem a) State the null and alternative hypotheses, b) Verify that the requirements that allow use of the normal model to test the hypothesis are satisfied, c) Show work for calculating the test statistic, d) Compare the critical value with the test statistic, and e) State the conclusion.
The standard deviation of the waiting times experienced by patients in the minor emergency department of a local hospital is 0.5 minutes. A random sample of 25 waiting times has a standard deviation of 0.7 minutes. Is there enough evidence to conclude that the standard deviation of the waiting times is more than 0.5 minutes? Use an α = 0.10 level of significance. Assume the population is normally distributed.
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