Question

A random sample of size *n=55* is obtained from a
population with a standard deviation of *σ=17.2*, and the
sample mean is computed to be *x**=78.5*.

- Compute the 95% confidence interval.
- Compute the 90% confidence interval.

SHOW WORK

Answer #1

Here, n = 55

mean = 78.5

standard deviation

Confidence interval is given by,

lower limit

upper limit

a) The 95% confidence interval is given by,

= ( 73.95 , 83.04)

b) The 90% confidence interval is given by,

= ( 74.68 , 82.31)

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