/*! 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. 43 Use the following information to... [FREE SOLUTION] | 91Ó°ÊÓ

91Ó°ÊÓ

Use the following information to answer the next six exercises: One hundred eight Americans were surveyed to determine the number of hours they spend watching television each month. It was revealed that they watched an average of 151hours

each month with a standard deviation of 32hours. Assume that the underlying population distribution is normal.

Identify the following:

a.x=_______

b.sx=_______

c.n=_______

d.n–1=_______

Short Answer

Expert verified

a. x=151

b. sx=32

c. n=108

d.n-1=107

Step by step solution

01

Given information

One hundred eight Americans were surveyed to determine the number of hours they spend watching television each month.

It was revealed that they watched an average of 151hours each month with a standard deviation of 32hours.

Assume that the underlying population distribution is normal.

02

Explanation (part a)

According to the given information, the total number of hours that Americans spend watching television each month is given by,X=151

03

Explanation (part b)

According to the given information, the standard deviation issx=32

04

Explanation (part c)

According to the given information, total number of Americans surveyed is given by,n=108

05

Explanation (part d)

According to the given information, the sample space is given by,n-1=108-1=107

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 91Ó°ÊÓ!

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

Using the same p′ and level of confidence, suppose that n were increased to 100. Would the error bound become larger

or smaller? How do you know?

Refer back to the pizza-delivery Try It exercise. The population standard deviation is six minutes and the sample mean delivery time is 36minutes. Use a sample size of 20. Find a95% confidence interval estimate for the true mean pizza delivery time

A poll of 1,200 voters asked what the most significant issue was in the upcoming election. Sixty-five percent answered the economy. We are interested in the population proportion of voters who feel the economy is the most important.

Define the random variable X in words

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 be0.1 ounce.

a.i.x̄=________ii.σ=________iii.sx=________

b. In words, define the random variableX.

c. In words, define the random variableXÌ„.

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 partf is larger than the confidence interval in part e.

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

Construct a 95% confidence interval for the population mean weight of newborn elephants. State the confidence interval, sketch the graph and calculate the error bound.

See all solutions

Recommended explanations on Math Textbooks

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.