/*! 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. 57 The data in the Table are the re... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 8: Q. 57 (page 480)

The data in the Table are the result of a random survey of 39national flags (with replacement between picks) from various countries. We are interested in finding a confidence interval for the true mean number of colors on a national flag. Let X=the number of colors on a national flag.

XFreq.11273184756

Construct a 95%confidence interval for the true mean number of colors on national flags.

The 95%confidence interval is_____.

Short Answer

Expert verified

The 95%confidence interval s islocalid="1649351039594" 2.92,3.59.

Step by step solution

01

Given Information

The data in the Table are the result of a random survey of 39national flags (with replacement between picks) from various countries.

XFreq.11273184756

02

Explanation

Now we need to find the sample mean

Mean=X炉=鈭�fixini

Mean=12739=3.26

The standard deviation will be,

Standard Deviation=鈭�fixi2鈭�鈭�fuxi2nn鈭�1

=453鈭�12723938

=1.02

Confidence Interval will be,

Confidence Interval=X炉卤Zn鈭�1,a2脳Sn

=3.26卤t38,0.052脳1.0239

3.26卤2.024脳1.0239

localid="1649350961439" =[2.92,3.59]

Thus,

Lower Bound =2.92

Upper Bound=3.59

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

In one complete sentence, explain what the interval means.

In six packages of 鈥淭he Flintstones庐 Real Fruit Snacks鈥� there were five Bam-Bam snack pieces. The total number of snack pieces in the six bags was 68.We wish to calculate a 96%confidence interval for the population proportion of Bam-Bam snack pieces.

a. Define the random variables XandP鈥�in words.

b. Which distribution should you use for this problem? Explain your choice

c. Calculatep鈥�.

d. Construct a 96%confidence interval for the population proportion of Bam-Bam snack pieces per bag.

i. State the confidence interval.

ii. Sketch the graph.

iii. Calculate the error bound.

e. Do you think that six packages of fruit snacks yield enough data to give accurate results? Why or why not?

When designing a study to determine this population proportion, what is the minimum number you would need to survey to be 90% confident that the population proportion is estimated to within 0.05 ?

Which distribution should you use for this problem?

A sample of 16small bags of the same brand of candies was selected. Assume that the population distribution of bag weights is normal. The weight of each bag was then recorded. The mean weight was two ounces with a standard deviation of 0.12ounces. The population standard deviation is known to be 0.1ounce.

a.

i.x炉=________ii.蟽=________iii.sx=________

b. In words, define the random variable X.

c. In words, define the random variable X炉.

d. Which distribution should you use for this problem? Explain your choice.

e. Construct a 90%confidence interval for the population mean weight of the candies.

i. State the confidence interval.

ii. Sketch the graph.

iii. Calculate the error bound.

f. Construct a 98%confidence interval for the population mean weight of the candies.

i. State the confidence interval.

ii. Sketch the graph.

iii. Calculate the error bound.

g. In complete sentences, explain why the confidence interval in part fis larger than the confidence interval in part e.

h. In complete sentences, give an interpretation of what the interval in part fmeans.

See all solutions

Recommended explanations on Math Textbooks

Probability and Statistics

Read Explanation

Discrete Mathematics

Read Explanation

Applied Mathematics

Read Explanation

Mechanics Maths

Read Explanation

Geometry

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.