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In a sample of 15 stuffed animals, you find that they weigh an average of 8.56...

In a sample of 15 stuffed animals, you find that they weigh an average of 8.56 ounces with a sample standard deviation of 0.06 ounces. Find the 92% confidence interval, assuming the times are normally distributed. @See text page 312 (8.531, 8.589) (8.527, 8.593) (8.521, 8.599) (8.526, 8.594)

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Answer #1

Given: , , and n = 15 (small)

Assuming the times are normally distributed,

92% CI for average can be computed using the formula:

Using excel function

We get t14= 1.89

Hence,

= ( 8.531,0.589)

Hence, the 92% confidence interval for average is (8.531,8.589).We can claim with confidence that if repeated samples are drawn, the true average would lie within this confidence interval 92 out of 100 times.

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