The weights (in pounds) of three adult males are160,215and195. What is the standard error of the mean for these data?

a. 190

b. 27.84

c. 22.73

d. 16.07

e.13.13

Short Answer

Expert verified

The standard error of the mean is16.07

Step by step solution

01

Given information

The weights of 3males are160,195,215

02

Formula used

The formula to compute the standard error of mean is: SEx¯=sn

Wheresis the sample standard deviation

The sample standard deviation can be calculated using the following formula:

s=(x-x¯)2n-1

03

The objective is to find out the standard error of the mean for the provided data set

The mean can be calculated as follows:

x¯=160+195+2153=190

The standard deviation can be calculated as follows:

s=(160-190)2+(215-190)2+(195-190)3=27.839

The standard error of the mean can now be calculated as follows:

SEx¯=sn=27.8393=16.07

The standard error of the mean is 16.07

Therefore, the correct option is(d)

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 Vaia!

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

You want to compute a 90%confidence interval for the mean of a population with an unknown population standard deviation. The sample size is 30. What critical value should you use for this interval?

a. 1.645

b. 1.699

c. 1.697

d. 1.96

e. 2.045

Suppose we want a 90% confidence interval for the average amount spent on books by freshmen in their first year at a major university. The interval is to have a margin of error of \(2. Based on last year’s book sales, we estimate that the standard deviation of the amount spent will be close to \)30. The number of observations required is closest to

(a) 25. (b) 30. (c) 608. (d) 609. (e) 865.

Three branches According to a recent study by the Annenberg Foundation, only 36%of adults in the United States could name all three branches of government. This was based on a survey given to a random sample of1416U.S. adults.

a. Construct and interpret a 90%confidence interval for the proportion of all U.S. adults who could name all three branches of government.

b. Does the interval from part (a) provide convincing evidence that less than half of all U.S. adults could name all three branches of government? Explain your answer.

10Bottling cola A particular type of diet cola advertises that each can contains 12 ounces of the beverage. Each hour, a supervisor selects cans at random, measures their contents, and computes a 95%confidence interval for the true mean volume. For one particular hour, the 95%confidence interval is 11.97ounces to 12.05ounces.

a. Does the confidence interval provide convincing evidence that the true mean volume is different than 12ounces? Explain your answer.

b. Does the confidence interval provide convincing evidence that the true mean volume is 12ounces? Explain your answer.

Most people can roll their tongues, but many can’t. The ability to roll the tongue is

genetically determined. Suppose we are interested in determining what proportion of students can roll their tongues. We test a simple random sample of 400students and find that 317can roll their tongues. The margin of error for a 95%confidence interval for the true proportion of tongue rollers among students is closest to which of the following?

a. 0.0008

b. 0.02

c. 0.03

d. 0.04

e. 0.05

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.

Sign-up for free