Question

You measure 48 textbooks' weights, and find they have a mean weight of 78 ounces. Assume the population standard deviation is 2.1 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 <

Answer #1

Solution :

Given that,

Sample size = n = 48

Z_{/2}
= 1.96

Margin of error = E = Z_{/2}*
(
/n)

= 1.96 * (2.1 / 48)

Margin of error = E = 0.59

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

- E < < + E

78 - 0.59 < < 78 + 0.59

**77.41 <
< 78.59**

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