/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q 8.38 Assume that the population stand... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 8: Q 8.38 (page 331)

Assume that the population standard deviation is known and decide weather use of the z-interval procedure to obtain a confidence interval for the population mean is reasonable. Explain your answers

The distribution of the variable under consideration is highly skewed, and the sample size is 20.

Short Answer

Expert verified

The use of zinterval procedure to obtain a confidence interval for the population mean is not reasonable.

Step by step solution

01

Given Information

Sample size is 20.

The distribution of the variable under consideration is highly skewed.

02

Conditions to use z interval procedure

The conditions are:

  • Small Sample Size: When sample size is n<15, procedure is used if the variable is normally distributed and very close to being normally distributed.
  • Moderate Sample Size: When sample size is between 15-30, the variable is far from being normally distributed and no outlier in the data.
  • Large Sample Size: When the sample size is greater than 30, it is used without restrictions.
03

Explanation

Since the distribution of the variable under consideration is highly skewed and sample size is20, the use of z interval procedure to obtain a confidence interval for the population mean is not reasonable.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

We provide a sample mean, sample size, and population standard deviation. In each case, perform the following tasks.

a. Find a 95% confidence interval for the popularion mean. (Note: You may want to review Example 8.2, which begins on page 316.)

b. Identify and interpret the margin of error:

c. Express the endpoints of the confidence interval in terms of the point estimate and the margin of error.

where, x^=20,n=36,蟽=3

Suppose that a simple random sample is taken from a normal population having a standard deviation of 10 for the purpose of obtaining a 95% confidence interval for the mean of the population.

a. If the sample size is 4 , obtain the margin of error.

b. Repeat part (a) for a sample size of 16

c. Can you guess the margin of error for a sample size of 64 ? Explain your reasoning.

Assume that the population standard deviation is known and decide weather use of the z-interval procedure to obtain a confidence interval for the population mean is reasonable. Explain your answers.

The sample data contain no outliers, the variable under consideration is roughly normally distributed, and the sample size is 20.

Suppose that you have obtained data by taking a random sample from a population and that you intend to find a confidence interval for the population mean, 渭. Which confidence level, 95% or 99%, will result in the confidence interval giving a more accurate estimate of 渭 ?

Explain the effect on the margin of error and hence the effect on the accuracy of estimating a population mean by a sample mean.

Increasing the sample size while keeping the same confidence level.
See all solutions

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

Read Explanation

Probability and Statistics

Read Explanation

Pure Maths

Read Explanation

Statistics

Read Explanation

Geometry

Read Explanation

Discrete Mathematics

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.