Question

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

How many commuters must be randomly selected to estimate the mean
driving time of Chicago commuters? We want 98% confidence that the
sample mean is within 3 minutes of the population mean, and the
population standard deviation is known to be 8 minutes.

Answer #1

Solution :

Given that,

standard deviation = =8

Margin of error = E = 3

At 98% confidence level the z is ,

= 1 - 98% = 1 - 0.98 = 0.02

/ 2 = 0.02/ 2 = 0.01

Z/2 = Z0.01 = 2.326 ( Using z table )

sample size = n = [Z/2* / E] 2

n = ( 2.326*8 /3 )2

n =38.49

Sample size = n =39 rounded

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A.
1 comma 7761,776
B.
2 comma 5102,510
C.
1 comma 5651,565
D.
1 comma 251

Show all work
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