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Compute the upper confidence limit

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Reference no: EM132860665

QUESTION 1

UNC would like to construct a confidence interval for the difference in salaries for business professors (group 1) and criminal justice professors (group 2). The university randomly selects a sample of 48 business professors and finds their average salary to be $76,913. The university also selects a random sample of 65 criminal justice professors and finds their average salary is $70,959. The population standard deviations are known and equal to $9000 for business professors, respectively $7500 for criminal justice professors. The university wants to estimate the difference in salaries between the two groups by constructing a 95% confidence interval.

Compute the upper confidence limit. Round your answer to 2 decimals, if needed.

QUESTION 2

UNC would like to test whether there is any difference in salaries for business professors (group 1) and criminal justice professors (group 2). The university randomly selects a sample of 44 business professors and finds their average salary to be $75,753. The university also selects a random sample of 59 criminal justice professors and finds their average salary is $70,574. The population standard deviations are known and equal to $9000 for business professors, respectively $7500 for criminal justice professors. The university wants to test if there is a difference between the salaries of these 2 groups, using a significance level of 5%.

Compute the test statistic needed for performing this test. Round your answer to 2 decimals, if needed.

Please show work.

Reference no: EM132860665

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