In: Statistics and Probability
You measure 32 textbooks' weights, and find they have a mean
weight of 79 ounces. Assume the population standard deviation is
13.6 ounces. Based on this, construct a 95% confidence interval for
the true population mean textbook weight.
Give your answers as decimals, to two places
< μ <
Solution :
Given that,
Sample size = n = 32
Z/2 = 1.96
Margin of error = E = Z/2* ( /n)
= 1.96 * (13.6 / 32)
Margin of error = E = 4.71
At 95% confidence interval estimate of the population mean is,
- E < < + E
79 - 4.71 < < 79 + 4.71
74.29 < < 83.71