Question

Find the indicated confidence interval. Assume the standard error comes from a bootstrap distribution that is approximately normally distributed.

A 95% confidence interval for a mean μ if the sample has n=60 with x¯=72 and s=12, and the standard error is SE=1.55.

Round your answers to three decimal places.

The 95% confidence interval is ___________ to _________________

Answer 1

Solution :

Given that,

t _/2,df = 2.001

Margin of error = E = t_/2,df * (s /n)

= 2.001 * (12 / 60)

= 3.100

The 95% confidence interval estimate of the population mean is,

- E < < + E

72 - 3.100 < < 72 + 3.100

68.900 < 75.100<

The 95% confidence interval is: 68.900 to 75.100