/*! 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} Q24E Question: Explain the difference... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 6: Q24E (page 348)

Question: Explain the differences in the sampling distributions of xfor large and small samples under the following assumptions.

a. The variable of interest, x, is normally distributed.

b. Nothing is known about the distribution of the variable x.

Short Answer

Expert verified

Answer

a. No difference

b. Sample distribution will be if the size is large and remain unknown if the size is small.

Step by step solution

01

Whenever the variable of interest remains normally distributed

a.

If the variable of interest remains normally distributed, the sample size will not affect the sampling distribution in this case. Therefore, the sampling distribution will be and will be normal.

02

Determination of the differences when nothing is known

b.

In this case, the sampling distribution will remain at whenever the sample size will remain large which means when the sample size will be above 30. T the sampling distribution will remain unknown whenever the sample size remains less than 30.

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

Water pollution testing. The EPA wants to test a randomlyselected sample of n water specimens and estimate themean daily rate of pollution produced by a mining operation.If the EPA wants a 95% confidence interval estimatewith a sampling error of 1 milligram per liter (mg/L),how many water specimens are required in the sample?Assume prior knowledge indicates that pollution readingsin water samples taken during a day are approximately

normally distributed with a standard deviation equal to5 mg/L.

Explain what is meant by the statement, 鈥淲e are 95% confident that an interval estimate contains 渭.鈥�

Salmonella poisoning from eating an ice cream bar.Recently, a case of salmonella (bacterial) poisoning wastraced to a particular brand of ice cream bar, and themanufacturer removed the bars from the market. Despitethis response, many consumers refused to purchase anybrand of ice cream bars for some period of time after the event (McClave, personal consulting). One manufacturerconducted a survey of consumers 6 months after theoutbreak. A sample of 244 ice cream bar consumers wascontacted, and 23 respondents indicated that they wouldnot purchase ice cream bars because of the potential forfood poisoning.

  1. What is the point estimate of the true fraction of the entiremarket who refuse to purchase bars 6 months after the out-break?
  2. Is the sample size large enough to use the normalapproximation for the sampling distribution of the estimator of the binomial probability? Justify your response.
  3. Construct a 95% confidence interval for the true proportionof the market who still refuses to purchase icecream bars 6 months after the event.
  4. Interpret both the point estimate and confidence interval in terms of this application.

Do social robots walk or roll? Refer to the InternationalConference on Social Robotics(Vol. 6414, 2010) studyof the trend in the design of social robots, Exercise 6.48(p. 357). Recall that you used a 99% confidence interval toestimate the proportion of all social robots designed withlegs, but no wheels. How many social robots would need tobe sampled in order to estimate the proportion to within.075 of its true value?

Lett0 be a specific value of t. Use Table III in Appendix D to findt0 values such that the following statements are true.

a. 巍(t鈮�t0)=0.025where df=11

b.巍(t鈮�t0)=0.01 wheredf=9

c.巍(t鈮�t0)=0.005 wheredf=6

d.巍(t鈮�t0)=0.05 wheredf=18
See all solutions

Recommended explanations on Math Textbooks

Probability and Statistics

Read Explanation

Mechanics Maths

Read Explanation

Logic and Functions

Read Explanation

Decision Maths

Read Explanation

Discrete Mathematics

Read Explanation

Statistics

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.