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. A random sample of 20 students has an average score of 75 and a standard...

. A random sample of 20 students has an average score of 75 and a standard deviation of 6. Form a 99% confidence interval for μ.
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Answer #1

Number of students

Mean

Standard deviation

Assuming that the average score follows the normal distribution, we have

,

is a standard normal distribution with mean 0 and standard deviation 1.

For a % confidence interval of standard normal distribution, we have that the Z score must be 2.576, i.e.,

Thus the % confidence interval is given by

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