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Molodets [167]
2 years ago
8

According to the Bureau of Labor Statistics, the average weekly pay for a U.S. production worker was $441.84 in 1998 (The World

Almanac, 2000). Assume that the available data indicate that wages are normally distributed with a standard deviation of 120. How much does a production worker have to make to be in the top 30% of wage earners? Give your answer to 2 decimal places
Mathematics
1 answer:
Oksanka [162]2 years ago
3 0

Using the normal distribution, it is found that a production worker has to make $542.64 a week to be in the top 30% of wage earners.

<h3>Normal Probability Distribution</h3>

In a normal distribution with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

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

  • It measures how many standard deviations the measure is from the mean.
  • After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.

In this problem:

  • The mean is of \mu = 441.84.
  • The standard deviation is of \sigma = 120.
  • The lower bound of the top 30% is the 70th percentile, which is X when Z has a p-value of 0.7, so <u>X when Z = 0.84.</u>

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

0.84 = \frac{X - 441.84}{120}

X - 441.84 = 0.84(120)

X = 542.64

A production worker has to make $542.64 a week to be in the top 30% of wage earners.

You can learn more about the normal distribution at brainly.com/question/24663213

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ivanzaharov [21]

Answer:

\frac{16}{81}

Step-by-step explanation:

Just Square the numbers like a normal equation.

4² = 16

9² = 81

This gives us \frac{16}{81}

or 0.198 as a decimal (approx)

6 0
3 years ago
Read 2 more answers
A simple random sample of size n from a finite population of size N is a sample selected such that each possible sample of size
Bezzdna [24]

Answer:

a) has the same probability of being selected

Step-by-step explanation:

A simple random sampling means that each possible sample of size n has the same probability of being selected.

Then your answer is:

a) has the same probability of being selected

8 0
3 years ago
What is the value of the exponital expression below 36 1/2
Vedmedyk [2.9K]
The answer is 6.

36^ 1/2 = the square root of 36 = 6
8 0
2 years ago
Modeling Real Life A person weighs
grin007 [14]
The student weighs 108.8 pounds on saturn. 85x2.34=198.9 -90.1 = 108.8
3 0
2 years ago
An equilateral ∆ has sides of length 16 cm. Find the length of an altitude.
inn [45]

The length of the altitude is 8\sqrt{3}

Explanation:

Let ABC be an equilateral triangle.

It has sides of length 16 cm

Let AD be the altitude of the triangle.

We need to determine the length of an altitude.

Let AC = 16 cm and CD = 8 cm

Let us consider the right angled triangle ADC

Using the Pythagorean theorem, we have,

AC^2=AD^2+DC^2

Substituting the values, we get,

 16^2=AD^2+8^2

 256=AD^2+64

 192=AD^2

8\sqrt{3}=AD

The length of the altitude is 8\sqrt{3}

5 0
3 years ago
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