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Using the simple random sample of weights of women from a data​ set, we obtain these...

Using the simple random sample of weights of women from a data​ set, we obtain these sample​ statistics: the sample size is 40 and the sample mean was 151.83 pounds. Research from other sources suggests that the population of weights of women has a standard deviation of 30.43 pounds. Find the 90% confidence interval estimate of the mean weight of all women.

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Expert Solution

Solution :

Given that,

= 151.83

= 30.43

n = 40

At 90% confidence level the z is ,

= 1 - 90% = 1 - 0.90 = 0.10

/ 2 = 0.10 / 2 = 0.05

Z/2 = Z0.05 = 1.645

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

=1.645 * (30.43 / 40)

= 7.9148

At 90% confidence interval estimate of the population mean is,

- E < < + E

151.83 - 7.9148< <151.83 + 7.9148

143.9152< < 159.7448

(143.9152,159.7448 )

orchestra answered 2 years ago
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