Log out Go to App
Go to App

Learning Materials

Features

Discover

Chapter 7: Q.58 (page 455)

The CLT applet Go to the textbook Web site (www whfreeman com/tp4e) and click on "Statistical Applets." Launch the Central limit Theorem applet. You should see a screen like the one shown here. Click and drag the slider to change the sample size, and watch how the density curve for the sampling distribution changes with it. Write a few sentences describing what in happening.

Short Answer

Expert verified

The population distribution in the applet is right-skewed.

Step by step solution

01

Step-1 Given Information

Given in the question that

we have to Click and drag the slider to change the sample size, and watch how the density curve for the sampling distribution changes with with it.

02

Step-2 Explanation

The sample mean sampling distribution is represented by the applet.

The population distribution in the applet is shown to be right-skewed.

The sampling distribution becomes increasingly bell-shaped and the distribution becomes normal as the sample size increases. In addition, if the sample size is small, the sampling distribution will have the same right skewness as the population distribution.

As a result, the applet's population distribution is right-skewed.

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.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

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

Songs on an iPod David's iPod has about 10000songs. The distribution of the play times for these songs is heavily skewed to the right with a mean of 225seconds and a standard deviation of 60seconds. How many songs would you need to sample if you wanted the standard deviation of the sampling distribution of x¯to be30seconds? justiify your answer.

The name for the pattern of values that a statistic takes when we sample repeatedly from the same population is

(a) the bias of the statistic.

(b) the variability of the statistic.

(c) the population distribution.

(d) the distribution of sample data.

(e) the sampling distribution of the statistic.

Airport security The Transportation Security Administration (TSA) is responsible for airport safety. On some flights, TSA officers randomly select passengers for an extra security check before boarding. One such flight had 76 passengers -12 in first class and 64 in coach class. TSA officers selected an SRS of 10 passengers for screening. Let p^be the proportion of first-class passengers in the sample.

(a) Is the 10%condition met in this case? Justify your answer.

(b) Is the Normal condition met in this case? Justify your answer.

Songs on an iPod David's iPod has about 10000songs. The distribution of the play times for these songs is heavily skewed to the right with a mean of 225seconds and a standard deviation of60 seconds.

(a) Explain why you cannot safely calculate the probability that the mean play time x¯is more than 4minutes 240seconds for an SRS of 10songs.

(b) Suppose we take an SRS of 36songs instead. Explain how the central limit theorem allows us to find the probability that the mean playtime is more than 240 seconds. Then calculate this probability. Show your work.

Here is a dot plot of the adult literacy rates in 177countries in 2008, according to the United Nations. For example, the lowest literacy rate was 23.6%, in the African country of Burkina Faso. Use the dot-plot below to answer the Question

The mean of this distribution (don’t try to find it) will be

(a) very close to the mode.

(b) greater than the median.

(c) less than the median.

(d) You can’t say, because the median is random.

(e) You can’t say, because the mean is random.
See all solutions

Recommended explanations on Math Textbooks

Pure Maths

Read Explanation

Geometry

Read Explanation

Mechanics Maths

Read Explanation

Calculus

Read Explanation

Decision Maths

Read Explanation

Applied 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.

Sign-up for free