Log out Go to App
Go to App

Learning Materials

Features

Discover

Chapter 7: Q.13 (page 428)

Find the sum that is one standard deviation above the mean of the sums.

Short Answer

Expert verified

The required sum is∑X=7326.49.

Step by step solution

01

Given Information

A sample size (n)=40.

The mean of population μX=180.

z=1.

A standard deviation σX=20.

02

Explanation

To find the sum that is one standard deviation above the mean of the sums :

∑X=(n)μX+(z)(n)σX

Calculating, we have:

∑X=40×180+1×40×20

∑X=7326.49

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.

Start your free trial

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

Determine which of the following are true and which are false. Then, in complete sentences, justify your answers.

a. When the sample size is large, the mean of X¯is approximately equal to the mean of X.

b. When the sample size is large, X¯is approximately normally distributed.

c. When the sample size is large, the standard deviation of X¯is approximately the same as the standard deviation of X.

Find the probability that the sum of the 100values is greater than 3,910.

Use the information in Example 7.8, but use a sample size of 55 to answer the following questions. a. Find P( x ¯ < 7).

b. Find P(Σx > 170).

c. Find the 80th percentile for the mean of 55 scores.

d. Find the 85th percentile for the sum of 55 scores.

Suppose that the duration of a particular type of criminal trial is known to have a mean of 21days and a standard deviation of seven days. We randomly sample nine trials.

a. In words,ΣX=______________

b.ΣX~_____(_____,_____)

c. Find the probability that the total length of the nine trials is at least 225days.

d. Ninety percent of the total of nine of these types of trials will last at least how long?

A uniform distribution has a minimum of six and a maximum of ten. A sample of 50is taken.

Find the 80th percentile for the sums.
See all solutions

Recommended explanations on Math Textbooks

Applied Mathematics

Read Explanation

Geometry

Read Explanation

Calculus

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Probability and Statistics

Read Explanation

Logic and Functions

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.

Sign-up for free