a) What is the probability that

b) Answer part (a) for a sample of size 120 (to 4 decimals).

alesterp
2021-02-08
Answered

In the EAI sampling problem, the population mean is $ 71,500 and the population standard deviation is $5000. For $n=30,\text{}\text{there is a}\text{}0.4908\text{}\text{probability of obtaining a sample mean within}\text{}\pm \text{}\$\text{}600$ of the population mean.

a) What is the probability that$\overline{x}$ is within $ 600 of the population mean is a sample of size 60 is used (to 4 decimals)?

b) Answer part (a) for a sample of size 120 (to 4 decimals).

a) What is the probability that

b) Answer part (a) for a sample of size 120 (to 4 decimals).

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Sadie Eaton

Answered 2021-02-09
Author has **104** answers

a) The probability that

The probability of z less than

The probability of z less than

The required probability value is,

Thus, the probability that x- is within $600 of the population mean if a sample of size 60 used is 0.6476.

b) The probability that x- is within $600 of the population mean if a sample of size 120 used is,

The probability of z less than

The probability of z less than

The required probability value is,

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