/*! 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 40. Scrabble In the game of Scrabble... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 7: Q 40. (page 462)

Scrabble In the game of Scrabble, each player begins by drawing 7 tiles from a bag

containing 100 tiles. There are 42 vowels, 56 consonants, and 2 blank tiles in the bag. Cait chooses an SRS of 7 tiles. Let p^ be the proportion of vowels in her sample.

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

b. Is the Large Counts condition met in this case? Justify your answer.

Short Answer

Expert verified

a. Yes.

b. No, large count condition is not met.

Step by step solution

01

Given Information

It is given that number of vowels is42and number of tiles are100.

02

Do 10% condition met in this case

Yes, it is met as7<10%of population size of100.

03

Do large count condition met

Population proportion is calculated as:

p=Population proportion=Number of vowelsNumber of tiles=42100=0.42

and n=7

Condition of normality is np鈮�10andn(1-p)鈮�10

Now, np=7(0.42)=2.94<10

and

n(1-p)=7(1-0.42)=4.06<10

Hence, large counts condition is not satisfied.

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

Increasing the sample size of an opinion poll will reduce the

a. bias of the estimates made from the data collected in the poll.

b. variability of the estimates made from the data collected in the poll.

c. effect of nonresponse on the poll.

d. variability of opinions in the sample.

e. variability of opinions in the population.

Tall girls According to the National Center for Health Statistics, the distribution of height for 16-year-old females is modeled well by a Normal density curve with mean 渭=64inches and standard deviation 蟽=2.5inches. Assume this claim is true for the three hundred 16-year-old females at a large high school.

a. Make a graph of the population distribution.

b. Imagine one possible SRS of size 20from this population. Sketch a dotplot of the distribution of sample data.

David鈥檚 iPod has about 10,000songs. 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.

a. Describe the shape of the sampling distribution of xfor SRSs of size n=5from the population of songs on David鈥檚 iPod. Justify your answer.

b. Describe the shape of the sampling distribution of x for SRSs of size n=100 from the population of songs on David鈥檚 iPod. Justify your answer.

Songs on an iPod David's iPod has about 10,000 songs. The distribution of the play times for these songs is heavily skewed to the right with a mean of 225 seconds and a standard deviation of 60 seconds. Suppose we choose an SRS of 10 songs from this population and calculate the mean play time x-x炉of these songs.

a. Identify the mean of the sampling distribution of x-x炉.

b. Calculate and interpret the standard deviation of the sampling distribution of x-路x炉. Verify that the 10%condition is met.

A statistic is an unbiased estimator of a parameter when

a. the statistic is calculated from a random sample.

b. in a single sample, the value of the statistic is equal to the value of the parameter.

c. in many samples, the values of the statistic are very close to the value of the

parameter.

d. in many samples, the values of the statistic are centered at the value of the parameter.

e. in many samples, the distribution of the statistic has a shape that is approximately

Normal.
See all solutions

Recommended explanations on Math Textbooks

Pure Maths

Read Explanation

Discrete Mathematics

Read Explanation

Decision Maths

Read Explanation

Probability and Statistics

Read Explanation

Logic and Functions

Read Explanation

Theoretical and Mathematical Physics

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.