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A sample of 28 observations from the same population produced a sample mean of 94.63 and...

A sample of 28 observations from the same population produced a sample mean of 94.63 and a standard deviation equal to 13.50. Create a 97% confidence interval for µ. Use a T-Interval and round all values to 2 decimal places. The 97% confidence interval runs from to .

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Answer #1

t critical value at 0.03 significance level with 27 df = 2.291

97% confidence interval for is

- t * S / sqrt(n) < < + t * S / sqrt(n)

94.63 - 2.291 * 13.50 / sqrt( 28) < < 94.63 + 2.291 * 13.50 / sqrt( 28)

88.79 < < 100.47

97% CI runs from 88.79 to 100.47

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