Question

Create a 99% confidence interval of the number of calories in 3 ounces of french fries...

Create a 99% confidence interval of the number of calories in 3 ounces of french fries based on a sample of 8 batches of french fries, weighing 3-ounce each, taken from different restaurants. The sample has a mean of 244.5 and a sample standard deviation, s, of 21.7. Interpret the results. (10 points)

Math   Statistics-And-Probability   
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Answer #1

The test statistic has t-distribution, since population standard deviation is not known.

The confidence interval for true mean based on the sample mean is

Here .

The 99% CI (with ) for mean is

Interpretation:

We are 99% confident that the number of calories lies in the interval (217.652, 271.348).

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