2 2.1.3 Quiz: Integers and Operations
Question 7 of 10
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Arealbot

17.01.2021

Mathematics

(a) $13.046<\mu< 22.15$

(b) The best point estimate of $\mu$ is the sample mean =17.598

The margin of error = 4.552

Step-by-step explanation:

Given : The confidence interval for the population mean = (13.046 , 22.15)

Sample mean : $\overline{x}=17.598$

Standard deviation : $\sigma= 16.01712719$

Sample size : n=50

a. Let $\mu$ represents the population mean.

Then we can write the confidence interval for the population mean as :-

$13.046<\mu< 22.15$

b. The best point estimate of $\mu$ is the sample mean =17.598

Also, the lower limit of confidence interval can be written as

$\overlien{x}-E$

i.e. $\overlien{x}-E=13.046$

$E=\overline{x}-13.046=17.598 -13.046=4.552$

Hence, the margin of error = 4.552

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2 2.1.3 Quiz: Integers and Operations Question 7 of 10 If p Answer here SUBMIT