/*! 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 8.36 Assume that the population stand... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 8: Q 8.36 (page 330)

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 outliers, and the sample size is20.

Short Answer

Expert verified

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

Step by step solution

01

Given Information

Sample size is 20and data contains outliers.

02

Conditions to use z interval procedure

The condition 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 between15-30, the variable is far from being normally distributed and no outlier in the data.
  • Large Sample Size: When the sample size is greater than30, it is used without restrictions.
03

Explanation

As per the given data and conditions, the use of zinterval to obtain confidence interval for the population mean is not reasonable. This is due to the fact that sample data contain outliers.

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

State True or False. Give Reasons for your answers.

The confidence level can be determined if you know only the margin of error, population standard deviation, and sample size.

Let 0<伪<1. For a t-curve, determine

a. the t-value having area 伪to its right in terms of t伪

b. the t-value having area 伪 to its left in terms of t伪

c. the two t-values that divide the area under the curve into a middle 1-伪area and two outside 伪/2areas.

d. Draw graphs to illustrate your results in parts (a)-(c).

One-Sided One-Mean t-Intervals. Presuming that the assumptions for a one-mean t-interval are satisfied, we have the following formulas for (1-伪)-level confidence bounds for a population mean 渭:

  • Lower confidence bound: x炉-t伪-s/蟺
  • Upper confidence bound: x^+t伪路s/n

Interpret the preceding formulas for lower and upper confidence bounds in words.

Medical Marijuana. An issue with legalization of medical marijuana is "diversion," the process in which medical marijuana prescribed for one person is given, traded, or sold to someone who is not registered for medical marijuana use. Researchers S. Sautel et al. study the issue of diversion in the article "Medical Marijuana Use Among Adolescents in Substance Abuse Treatment" . The mean number of days that 120adolescents in substance abuse treatment used medical marijuana in the last six months was 102.72. Assume the population standard deviation is 32days.

a. Find a 95%confidence interval for the mean number of days, 渭, of diverted medical marijuana use in the last 6 months of all adolescents in substance abuse treatment.

b. Repeat part (a) at a 90%confidence level.

c. Draw a graph similar to Fig. 8.6on page 326to display both confidence intervals.

d. Which confidence interval yields a more accurate estimate of渭 ? Explain your answer.

Suppose that you will be taking a random sample from a population and that you intend to find a 95%confidence interval for the population mean 渭. Which sample size, 25or30 , will result in the confidence interval giving a more accurate estimate of 渭?
See all solutions

Recommended explanations on Math Textbooks

Pure Maths

Read Explanation

Calculus

Read Explanation

Applied Mathematics

Read Explanation

Statistics

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Mechanics Maths

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.