A study was conducted to determine if the salaries of librarians from two neighboring cities were equal. A sample of 15 librarians from each city was randomly selected. The mean from the first city was $28,900 with a standard deviation of $2300. The mean from the second city was $30,300 with a standard deviation of $2100. Construct a 95% confidence interval for mu 1minusmu 2.

Question

Mathematics

Hanna

8 June, 16:31

A study was conducted to determine if the salaries of librarians from two neighboring cities were equal. A sample of 15 librarians from each city was randomly selected. The mean from the first city was $28,900 with a standard deviation of $2300. The mean from the second city was $30,300 with a standard deviation of $2100. Construct a 95% confidence interval for mu 1minusmu 2.

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Miya Mccormick · Answer 1

For the first city, the 95% confidence interval would be:

28,900 + / - 2300 x 3 = 28,900 + / -6900$

For the second city, the 95% confidence interval would be:

30,300 + / - 2100 x 3 = 30,300 + / - 6300$