Question

You measure 29 textbooks' weights, and find they have a mean
weight of 78 ounces. Assume the population standard deviation is
13.2 ounces. Based on this, construct a 95% confidence interval for
the true population mean textbook weight. Round answers to at least
4 decimal places.

Answer #1

= Solution :

Given that,

Point estimate = sample mean =
= 78

Population standard deviation =
= 13.2

Sample size n =29

At 95% confidence level the z is ,

= 1 - 95% = 1 - 0.95 = 0.05

/ 2 = 0.05 / 2 = 0.025

Z/2 = Z0.025 = 1.96 ( Using z table )

Margin of error = E = Z/2
* (
/n)

=1.96 * ( 13.2/
29)

= 4.8043

At 95% confidence interval estimate of the population mean

is,

-+ E

78+-4.8043

(73.1957 ,82.8043)

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