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It is known that the population variance equals 529. With a .95 probability, the sample size...

It is known that the population variance equals 529. With a .95 probability, the sample size that needs to be taken if the desired margin of error is 4 or less is

508.

128.

127.

509.

Math   Statistics-And-Probability   
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Answer #1

Solution :

Given that,

Population variance = 529

So, standard deviation = = 23

margin of error = E = 4

At 95% confidence level the z is ,

   = 1 - 95% = 1 - 0.95 = 0.05

/ 2 = 0.05 / 2 = 0.025

Z/2 = Z0.025 = 1.96

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

= ((1.96 * 23) /4 )2

= 127

Sample size = 127

Option 3rd is

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