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the weekly incomes of shift foremen in the glass industry follow the normal probability distribution with a mean of $1,000 and a standard deviation of $100. what is the z value for the income, for a foreman who earns $900 per week?



Answer :

tutorconsortium270

In both Cases Value of Z is 1. as per given details in the question.

What are z values ?

A Z-score is a numeric measure of the relationship of a value to the mean of a group of values. Z-scores are measured in  standard deviations from the mean. A z-score of 0 indicates that the data point's value is equal to the mean.

Calculation

Z Value is calculated by formula:

Expected salary = Average salary ± (Z × Standard deviation)

a.  Z value is calculated below:

Expected salary = Average salary ± (Z × Standard deviation)

$1,100 = $1,000 + (Z × $100)

Z = $100 / $100

Z = 1

Again

Expected salary = Average salary ± (Z × Standard deviation)

$900 = $1,000 - (Z × $100)

Z = $100 / $100

Z = 1

In both Cases Value of Z is 1.

learn more about z - values here :

brainly.com/question/25961917

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