Question

A random sample of size is taken from a population that has a variance of 49. The sample mean is 90.4, n = 9. Construct a 80% confidence interval for μ.

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Answer #1

Variance,
^{2} = 49

Standard deviation, = 7

Sample mean, = 90.4

Sample size, n = 9

Confidence interval, CI = Z*

For 80% confidence level, Z* = 1.282

CI = 90.4 1.282 x

= 90.4 2.991

= **(87.409, 93.391)**

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