Stati sti cs - Portage Online Summer 2018

Module 5 Exam

Exam Page 1

Suppose that you take a sample of size 18 from a population that is not normally distributed. Can

the sampling distribution of xxbe approximated by a normal probability distribution?

No, the sampling distribution of xbar cannot be approximated by a normal probability distribution

because the population is "not normally" distributed and the sample size is less than 30.

Answer Key

Suppose that you take a sample of size 18 from a population that is not normally distributed. Can

the sampling distribution of xxbe approximated by a normal probability distribution?

No. The population is not normally distributed, therefore, we need a sample size of at least 30 to

approximate by a normal probability distribution.

Exam Page 2

Suppose that you are attempting to estimate the annual income of 1100 families. In order to use the

infinite standard deviation formula, what sample size, n, should you use?

(n / N ) ≤0.05

N = 1100

n ≤ (0.05 x 1100 ) = 55

n ≤ 55

The sample size (n) has to be less than or equal to 55

Answer Key

Suppose that you are attempting to estimate the annual income of 1100 families. In order to use the

infinite standard deviation formula, what sample size, n, should you use?

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