/*! 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.8.1 Suppose we have data from a samp... [FREE SOLUTION] | 91影视

91影视

Suppose we have data from a sample. The sample mean is 15, and the error bound for the mean is 3.2. What is the confidence interval estimate for the population mean?

Short Answer

Expert verified

The confidence interval estimate for the population mean is (11.8,18.2)

Step by step solution

01

Given Information 

Given in the question that,

sample mean =15

error bound for the mean =3.2

02

Step 2: Explanation

If x-is the sample mean of a random sample of size n from a normal population with known variance, a Cl (confidence interval) on is given by

xEBMx+EBM(1)

where EBM is the error bound for a population mean. We know that the sample mean is 15and the error bound for the mean is 3.2. Therefore x=15andEBM=3.2

So,from equation (1) we get

153.215+3.2

The confidence interval estimate for the population mean is (11.8,18.2). We say, "We estimate with 90% confidence that the true value of the population mean is between 11.8and 18.2," if the confidence level is 90% .xEBMx+EBM

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

Out of a random sample of 65freshmen at State University, 31students have declared a major. Use the 鈥減lus-four鈥 method to find a 96% confidence interval for the true proportion of freshmen at State University who have declared a major.

If it were later determined that it was important to be more than 90% confident and a new survey was commissioned, how would it affect the minimum number you need to survey? Why?

Table 8.2shows a different random sampling of 20cell phone models. Use this data to calculate a 93% confidence interval for the true mean SAR for cellphones certified for use in the United States. As previously, assume that the population standard deviation is 蟽= 0.337.

Phone ModelSAR Phone ModelSAR
Blackberry pearl81201.48
Nokia E71x1.53
HTC Evo Design 4G0.8
Nokia N750.68
HTC Freestyle1.15
Nokia N791.4
LG Ally1.36
Sagem Puma1.24
LG Fathom0.77
Samsung Fascinate0.57
LG Optimus Vu0.462
Samsung Infuse 4G
0.2
Motorola Cliq XT1.36
Samsung Nexus S0.51
Motorola Droid pro1.39
Samsung Replenish0.3
Motorola Droid Razr M1.3
Sony W518a walkman0.73
Nokia 7705Twist0.7
ZTE C79 0.869

The Ice Chalet offers dozens of different beginning iceskating classes. All of the class names are put into a bucket. The 5 P.M., Monday night, ages 8 to 12, beginning ice-skating class was picked. In that class were 64 girls and 16 boys. Suppose that we are interested in the true proportion of girls, ages 8 to 12, in all beginning ice-skating classes at the Ice Chalet. Assume that the children in the selected class are a random sample of the population.

Define a new random variable P鈥. What is p鈥 estimating?

In complete sentences, explain why the confidence interval in Exercise 8.17 is larger than in Exercise 8.18.

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.