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jolli1 [7]
2 years ago
9

The number of employees per department are normally distributed with a population standard deviation of 198 employees and an unk

nown population mean. If a random sample of 22 departments is taken and results in a sample mean of 1460 employees, find the error bound (EBM) of the confidence interval with a 80% confidence level.
Mathematics
1 answer:
cricket20 [7]2 years ago
6 0

Answer:

EBM = +-54.126

Step-by-step explanation:

In this question we have confidence interval to be 80%

The formula to solve this is in the attachment.

Bar X = 1460

Z-alpha/2 = 1.282

Sd = standard deviation = 198 employees

n = 22 departments

After we have inserted all values in to the formula we have:

1460 +-(1.282*198/√22)

= 1460+-(54.12604)

= (1405.87, 1514.126)

The error bounded mean EBM

= +-z-alpha/2 x (sd/√n)

= 1.282 x 198/√22

= 1.282 x 42.22

EBM = +-54.126

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Step-by-step explanation:

* To solve this problem lets revise the order of operations in

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# Grouping ⇒ Parenthesis or brackets

- The order of these operations is:

# Parenthesis

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The length of one side of a triangle is 2 feet less than three times the length of its second side. The length of the third side
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Step-by-step explanation:

Let the sides be a, b and c.

<h3>Given</h3>

The length of one side of a triangle is 2 feet less than three times the length of its second side

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The length of the third side is 3/4 of the sum of the lengths of the first two sides:

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The perimeter of the triangle is 17.5 feet:

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<h3>Solution</h3>

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The sides of the triangle are:

  • a = 7 feet, b = 3 feet, c = 7.5 feet

8 0
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