Question

The number of sleep hours for adults is normally distributed with mean 7 hours and standard...

The number of sleep hours for adults is normally distributed with mean 7 hours and standard deviation 1.7 hours. How large a sample should be selected if we we wish our estimate to be correct within 30 minutes with 95% confidence?

a) 44

b)45

c)12

d)11

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Answer #1

Solution :

Given that,

standard deviation = = 1.7

margin of error = E = 0.5

Z/2 = 1.96

Sample size = n = ((Z/2 * ) / E)2

= ((1.96 * 1.7) / 0.5)2

= 45

Sample size = 45

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