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Let the following sample of 8 observations be drawn from a normal population with unknown mean...

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Statistics

Let the following sample of 8 observations be drawn from anormal population with unknown mean and standard deviation: 16, 21,12, 23, 25, 26, 22, 17. [You may find it useful toreference the t table.]

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

b. Construct the 80% confidence interval forthe population mean. (Round \"t\" value to 3 decimalplaces and final answers to 2 decimal places.)

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

d. What happens to the margin of error as theconfidence level increases from 80% to 90%?

Answer & Explanation Solved by verified expert
4.0 Ratings (786 Votes)
Part a Mean X Xi n X 162 8 2025 Sample Standard deviation SX Xi X 2 n 1 SX 1635 8 1 483 Part b Confidence Interval X t2 n1 Sn t2    See Answer
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