Question

# 2a.A survey is conducted to estimate the average age of students enrolled in a college. The...

2a.A survey is conducted to estimate the average age of students enrolled in a college. The population standard deviation is known to be 2.5 years. 32 students were interviewed and their average age was 22.6 years. For question 6, give the lowest value of the 99% confidence interval of the population mean (rounded to the tenths place). For question 7, refer back to this question and give the highest value of the 99% confidence interval of the population mean. You will be using the z-tables for this question.

2b.Give your answer for the highest value of the 99% confidence interval of the population mean (refer to question 2a), round your answer to the tenths place.

We need to construct the 99% confidence interval for the population mean \muμ. The following information is provided:

 Sample Mean 22.6 Population Standard Deviation 2.5 Sample Size 32

The critical value for α=0.01 is z_c ​=2.576. The corresponding confidence interval is computed as shown below:

CI = (21.462, 23.738)

Give the lowest value of the 99% confidence interval of the population mean (rounded to the tenths place).

21.5 years

Give the highest value of the 99% confidence interval of the population mean.

23.7 years

Give your answer for the highest value of the 99% confidence interval of the population mean (refer to question 2a), round your answer to the tenths place.

23.7 years

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