Log out Go to App
Go to App

Learning Materials

Features

Discover

Chapter 6: Q.11 (page 385)

What is the z-score of x=12, if it is two standard deviations to the right of the mean?

Short Answer

Expert verified

The value of the z score will be2

Step by step solution

01

Given Information

By using the z-score it can be measured by how many standard deviations, the value of x will lie below (left) or above (right) the mean of the distribution.

02

Explanation

By using the z-score it can be measured by how many standard deviations (σ), the value of x will lie below (left) or above (right) the mean (μ) of the distribution. Heretofore, it is shown that the z-score is two standard deviations to the right of the mean for x=12.

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

A NUMMI assembly line, which has been operating since 1984, has built an average of 6,000 cars and trucks a week. Generally, 10% of the cars were defective coming off the assembly line. Suppose we draw a random sample of n=100 cars. Let X represent the number of defective cars in the sample. What can we say about X in regard to the 68-95-99.7 empirical rule (one standard deviation, two standard deviations and three standard deviations from the mean are being referred to)? Assume a normal distribution for the defective cars in the sample.

The patient recovery time from a particular surgical procedure is normally distributed with a mean of 5.3 days and a standard deviation of 2.1 days.

What is the z-score for a patient who takes ten days to recover?

a. 1.5

b. 0.2

c. 2.2

d. 7.3

Is P(x<1) equal to P(x≤1)? Why?

Use the following information to answer the next four exercises:

X~N(54,8)

Find the probability thatx>56.

Suppose X ~ N(8, 1). What value of x has a z-score of –2.25?
See all solutions

Recommended explanations on Math Textbooks

Logic and Functions

Read Explanation

Geometry

Read Explanation

Pure Maths

Read Explanation

Statistics

Read Explanation

Discrete Mathematics

Read Explanation

Probability and Statistics

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