/*! 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 71. America鈥檚 favorite cookie Ann ... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 8: Q 71. (page 542)

America鈥檚 favorite cookie Ann and Tori wanted to estimate the average weight of an Oreo cookie to determine if it was less than advertised (34 grams for 3 cookies). They selected a random sample of 36cookies and found the weight of each cookie (in grams). The mean weight was x虅=11.3921grams with a standard deviation of sX=0.0817grams. Construct and interpret a 90%confidence interval for the true mean weight of an Oreo cookie.

Short Answer

Expert verified

The confidence interval is(11.37,11.42).

Step by step solution

01

Given Information

It is given that (x炉)=11.3921

sx=0.0817

n=36

02

Concept Used

tconfidence interval for population mean is calculated as:

CI=x炉卤t伪/2,df脳sn

03

Calculation

As standard deviation is not known, tconfidence interval is used.

Excel gives output as:

Confidence Interval is(11.37,11.42)

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

A 90%confidence interval for the mean 渭 of a population is computed from a random sample and is found to be90卤30. Which of the following could be the 95%confidence interval based on the same data?

a. 90卤21

b. 90卤30

c. 90卤39

d. 90卤70

e. Without knowing the sample size, any of the above answers could be the 95%confidence interval.

Reading scores in Atlanta The Trial Urban District Assessment (TUDA) is a

government-sponsored study of student achievement in large urban school districts. TUDA gives a reading test scored from 0to 500. A score of 243is a 鈥渂asic鈥� reading level and a score of 281is 鈥減roficient.鈥� Scores for a random sample of 1470eighth-graders in Atlanta had a mean of 240with standard deviation of 42.17.

a. Construct and interpret a 99%confidence interval for the mean reading test score of all Atlanta eighth-graders.

b. Based on your interval from part (a), is there convincing evidence that the mean reading test score for all Atlanta eighth-graders is less than the basic level? Explain your answer.

The Large Counts condition When constructing a confidence interval for a population proportion, we check that both np鈭�andn1-p鈭�are at least 10

a. Why is it necessary to check this condition?

b. What happens to the capture rate if this condition is violated?

More weight loss Refer to Exercise 6. Interpret the confidence level.

Food fight A 2016survey of 1480randomly selected U.S. adults found that 55%of respondents agreed with the following statement: 鈥淥rganic produce is better for health than conventionally grown produce.鈥�

a. Construct and interpret a 99%confidence interval for the proportion of all U.S. adults who think that organic produce is better for health than conventionally grown produce.

b. Does the interval from part (a) provide convincing evidence that a majority of all U.S. adults think that organic produce is better for health? Explain your answer.
See all solutions

Recommended explanations on Math Textbooks

Probability and Statistics

Read Explanation

Pure Maths

Read Explanation

Statistics

Read Explanation

Calculus

Read Explanation

Theoretical and Mathematical Physics

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.