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Chapter 8: Q 8.121. (page 343)

Identify the formula for the margin of error for the estimate of a population mean when the population standard deviation is unknown.

Short Answer

Expert verified

E=ta2sn

Step by step solution

01

Concept

Formula used: Margin of errorE=ta2sn

02

Explanation

The margin of Error:

The common formula for the margin of error when the standard deviation of the population is unknown: E=ta2sn

03

Explanation

Make a variable definition.

  • The sample size is n
  • The sample standard deviation is s
  • The critical value of tis t伪2

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Most popular questions from this chapter

Explain why the margin of error determines the accuracy with which a sample mean estimates a population mean.

For a t-curve with df=8, find each t-value, and illustrate your results graphically.

a. The t-value having area 0.05 to its right

b. t0.10

c. The t-value having area 0.01 to its left (Hint: A t-curve is symmetric about 0

d. The two t-values that divide the area under the curve into a middle 0.95 area and two outside 0.025 areas

For a f-curve with df=6, use Table IV to find each f-value.

a. t0.10

b. t0.025

c. f0.01

What is meant by saying that a statistical procedure is robust?

A simple random sample of size 17 is taken from a population with an unknown standard deviation. A normal probability plot of the data reveals an outlier but is otherwise roughly linear. Can you reasonably apply the t-interval procedure? Explain your answer.
See all solutions

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