Q81E Suppose the standard deviation o... [FREE SOLUTION]

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Statistics For Business And Economics

James T. McClave, P. George Benson, Terry Sincich

$Math Studyset 91影视 Explanations$ Math

13th Edition 路 888 pages

ISBN: 9780134506593

Chapter 6: Q81E (page 366)

Suppose the standard deviation of the population is knownto be $蟽 = 200$ . Calculate the standard error of X for eachof the situations described in Exercise 6.80.

Short Answer

Expert verified

The standard deviation is 4.898979.
The standard deviation is 5.656854.
The standard deviation is 6
The standard deviation is 6.292853

Step by step solution

Given information

Assume the population standard deviation is known to be $蟽 = 200$

a. n= 1,000, N= 2,500

b. n= 1,000, N= 5,000

c. n= 1,000, N= 10,000

d. n= 1,000, N= 100,000

Finding a standard deviation

The standard deviation is

$\begin{array}{rcl} {\hat{蟽}}_{\overset{炉}{x}} & = & \frac{蟽}{\sqrt{n}} \sqrt{\frac{N - n}{N}} \\ = & \frac{200}{\sqrt{1000}} \sqrt{\frac{2500 - 1000}{2500}} \\ = & 4.898979 \end{array}$

The standard deviation is 4.898979

Finding a standard deviation

The standard deviation is

$\begin{array}{rcl} {\hat{蟽}}_{\overset{炉}{x}} & = & \frac{蟽}{\sqrt{n}} \sqrt{\frac{N - n}{N}} \\ = & \frac{200}{\sqrt{1000}} \sqrt{\frac{5000 - 1000}{5000}} \\ = & 5.656854 \end{array}$

The standard deviation is 5.656854

Finding a standard deviation

The standard deviation is

$\begin{array}{rcl} {\hat{蟽}}_{\overset{炉}{x}} & = & \frac{蟽}{\sqrt{n}} \sqrt{\frac{N - n}{N}} \\ = & \frac{200}{\sqrt{1000}} \sqrt{\frac{10000 - 1000}{10000}} \\ = & 6 \end{array}$

The standard deviation is 6

Finding a standard deviation

The standard deviation is

$\begin{array}{rcl} {\hat{蟽}}_{\overset{炉}{x}} & = & \frac{蟽}{\sqrt{n}} \sqrt{\frac{N - n}{N}} \\ = & \frac{200}{\sqrt{1000}} \sqrt{\frac{100000 - 1000}{100000}} \\ = & 6.292853 \end{array}$

The standard deviation is 6.292853.

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91影视

Suppose the standard deviation of the population is knownto be $蟽 = 200$ . Calculate the standard error of X for eachof the situations described in Exercise 6.80.

Short Answer

Step by step solution

Given information

Finding a standard deviation

Finding a standard deviation

Finding a standard deviation

Finding a standard deviation

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Calculus

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91影视

Suppose the standard deviation of the population is knownto be蟽=200 . Calculate the standard error of X for eachof the situations described in Exercise 6.80.

Short Answer

Step by step solution

Given information

Finding a standard deviation

Finding a standard deviation

Finding a standard deviation

Finding a standard deviation

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Calculus

Geometry

Logic and Functions

Probability and Statistics

Applied Mathematics

Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

Suppose the standard deviation of the population is knownto be $蟽 = 200$ . Calculate the standard error of X for eachof the situations described in Exercise 6.80.