Question

the mean of a group of monthly incomes with a normal distribution,l for a large set of mid-level technicians in large mining in Chile, is equivalent to $1,000,000, the standard deviation is $100,000. a) What is the value of z for an income of $1,100,000? And for one of $900,000?

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Answer to a math question the mean of a group of monthly incomes with a normal distribution,l for a large set of mid-level technicians in large mining in Chile, is equivalent to $1,000,000, the standard deviation is $100,000. a) What is the value of z for an income of $1,100,000? And for one of $900,000?

Expert avatar
Bud
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92 Answers
Solution:

First, we need the formula to calculate the z-value:

z = \frac{X - \mu}{\sigma}

Given:

\mu = 1,000,000

\sigma = 100,000

1) For an income of $1,100,000:

X = 1,100,000

z = \frac{1,100,000 - 1,000,000}{100,000} = \frac{100,000}{100,000} = 1

2) For an income of $900,000:

X = 900,000

z = \frac{900,000 - 1,000,000}{100,000} = \frac{-100,000}{100,000} = -1

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