Log out Go to App
Go to App

Learning Materials

Features

Discover

Chapter 7: Q.25 (page 429)

What is P(Σx>290) ?

Short Answer

Expert verified

The value ofP(Σx>290)=0.9772.

Step by step solution

01

Given Information

An unknown distribution has a mean 12 and a standard deviation of one. A sample size of 25 is taken.

02

Explanation

Let's use Ti- 83 calculator to compute the probability.

For that, Click on 2nd. Then, DISTR, and scroll down to the normalcdf option. Enter the provided details. After this, click on enter button to get the result:

Hence, the value of P(ΣX>290)is :

=1−0.022750

=0.97725

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

For the sums of distribution to approach a normal distribution, what must be true?

The length of time a particular smartphone's battery lasts follows an exponential distribution with a mean of ten months. A sample of 64 of these smartphones is taken.

What is the distribution for the mean length of time 64 batteries last?

Based on data from the National Health Survey, women between the ages of 18and 24have an average systolic blood pressures (in mm Hg) of 114.8with a standard deviation of 13.1. Systolic blood pressure for women between the ages of 18 to 24follow a normal distribution.
a. If one woman from this population is randomly selected, find the probability that her systolic blood pressure is greater than120 .
b. If 40 women from this population are randomly selected, find the probability that their mean systolic blood pressure is greater than 120 .
c. If the sample were four women between the ages of 18to 24 and we did not know the original distribution, could the central limit theorem be used?

What is the z-score for Σx = 1,186?

An unknown distribution has a mean of 100, a standard deviation of 100, and a sample size of 100. Let X=one object of interest.

What is the standard deviation of ΣX?
See all solutions

Recommended explanations on Math Textbooks

Statistics

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Decision Maths

Read Explanation

Discrete Mathematics

Read Explanation

Pure Maths

Read Explanation

Calculus

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