Statistics - Hypothesis Test
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A sample of 40 investment customers serviced by an account manger are found to have had an average of $23,000 in transactions during the past year, with a standard deviation of $8500. A sample of 30 customers serviced by another account manager averaged $28,000 in transactions, with a standard deviation of $11,000. Assuming the population standard deviations are equal, use the 0.05 level of significance in testing whether the population means could be equal for customers serviced by the two account mangers. Using the appropriate statistical table, what is the most accurate statement we can make about the p-value for this test? Construct and interpret the 95% confidence interval for the difference between the population means.
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Solution Summary
The expert examines a hypothesis test for the differences in means across populations. A complete, neat and step-by-step solution is provided.
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n1 = 40, n2 = 30, x1-bar = 23000, x2-bar = 28000, s1 = 8500, s2 = 11000
H0: mu1 = mu2
Ha: mu1 is not equal to mu2
Two-tailed z- test at a = 0.05; Critical z- score = ...
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