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In: Statistics and Probability

A manager from Morocco claims that the mean annual income is greater in Casablanca than it...

A manager from Morocco claims that the mean annual income is greater in Casablanca than it is in Marrakech. In Casablanca, a random sample of 19 residents has a mean annual income of $42,200 and a standard deviation of $8600. In Marrakech, a random sample of 15 residents has a mean annual income of $37,900 and a standard deviation of $5500. At alpha = 0:1; can you support the managerís claim? Assume the population variances are not equal.

a. Identify the claim and state H0 and Ha:

b. Find the critical value and identify the rejection region.

c. Find the standardized test statistic.

d. Decide whether to reject the null hypothesis.

e. Interpret the decision in the context of the original claim

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