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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 tα2

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Most popular questions from this chapter

Medical Marijuana. Refer to Exercise 8.77.

a. Determine the margin of error for the 95%confidence interval.

b. Determine the margin of error for the 90%confidence interval.

c. Compare the margins of error found in parts (a) and (b).

d. What principle is being illustrated?

Suppose that you have obtained data by taking a random sample from a population. Before performing a statistical inference, what should you do?

State True or False. Give Reasons for your answers.

The length of the confidence interval can be determined if you know only the margin of error.

Toxic Mushrooms? Refer to Exercise 8.71

a. Determine and interpret a 99% lower confidence bound for the mean cadmium level of all Boletus Pinicola mushrooms.

b. Compare your one-sided confidence interval in part (a) to the (two-sided) confidence interval found in Exercise 8.71

Political Prisoners. A. Ehlers et al. studied various characteristics of political prisoners from the former East Germany and presented their findings in the paper "Posttraumatic Stress Disorder (PTSD) Following Political Imprisonment: The Role of Mental Defeat. Alienation, and Perceived Permanent Change". According to the article. the mean duration of imprisonment for 32 patients with chronic PTSD was 33.4months. Assuming that σ=42months, determine a 95%confidence interval for the mean duration of imprisonment,μ. of all East German political prisoners with chronic PTSD. Interpret your answer in words.
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