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An analyst claims that the mean annual salary for advertising account executives in Denver, Colorado, is more than the national mean, $67,800. The annual salaries (in dollars) for a random sample of 21 advertising account executives in Denver are listed. Assume the population is normally distributed and the population standard deviation is $7800. At α = 0.09, is there enough evidence to support the analyst’s claim?
(a) Identify the claim and state H0 and Ha.
(b) Find the standardized test statistic z. If convenient, use technology.
(c) Find the P-value. If convenient, use technology.
(d) Decide whether to reject or fail to reject the null hypothesis.
(e) Interpret the decision in the context of the original claim. |
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