# The number of persons sharing a pie to the number of slices of the pie

Answers: 1

## Answers

The number of persons sharing a pie to the number of slices of the pie...

Answers: 1

The number of persons sharing a pie to the number of slices of the pie...

How is that question!?

z-test or normal distribution

solution:

given:

n=20, x̄ =89, s=2.0, 99%

formula:

x̄ -z_alpha/2(s/square root of n)< µ< x̄ +z_alpha/2(s/square root of n)

89-(2.575)(2.0/square root of 20)< µ< 89-(2.575)(2.0/square root of 20)

87.848< µ< 90.152

margin of error:

solution:

the critical value is 2.575.

the standard deviation is 2.0 (from the question), but as this is a sample, we need the standard error for the mean.

the formula for the se of the mean is standard deviation / √(sample size), so: 2.0/ √(20)=0.447.

me=2.575 * 0.447 = 1.151.

therefore, the margin of error is 1.151 with the confidence interval of 87.848< µ< 90.152.