Question

Use the given information to find the minimum sample size
required to estimate an unknown population mean μ.

How many women must be randomly selected to estimate the mean
weight of women in one age group. We want 90% confidence that the
sample mean is within 2.0 lb of the population mean, and the
population standard deviation is known to be 27 lb.

Answer #1

Solution :

Given that,

Population standard deviation = = 27

Margin of error = E = 2

At 90% confidence level the z is ,

= 1 - 90% = 1 - 0.90 = 0.10

/ 2 = 0.10 / 2 = 0.05

Z_{/2}
= Z _{0.05} = 1.645

sample size = n = (Z_{/2}*
/ E) ^{2}

n = (1.645 * 27 / 2)^{2}

n = 493.17

n = 494

Sample size = 494

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of the population mean, and the population standard deviation
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A.
1 comma 7761,776
B.
2 comma 5102,510
C.
1 comma 5651,565
D.
1 comma 251

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143
202
126
101

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