Let the following sample of 8 observations be drawn from a n

Let the following sample of 8 observations be drawn from a normal population with unknown mean and standard deviation: 22, 23, 14, 24, 18, 16, 15, 12. Use Table 2.

Calculate the sample mean and the sample standard deviation. (Round intermediate calculations to 4 decimal places, \"sample mean\" to 3 decimal places and \"sample standard deviation\" to 2 decimal places.)

Construct the 90% confidence interval for the population mean. (Round \"t\" value to 3 decimal places, and final answers to 2 decimal places.)

Construct the 99% confidence interval for the population mean. (Round \"t\" value to 3 decimal places, and final answers to 2 decimal places.)

What happens to the margin of error as the confidence level increases from 90% to 99%?

Solution