Explanation Approach: Assume a normal distribution has a mean of μ and a standard deviation of σ . We use the equation z = x − μ σ to convert a value x in the nonstandard distribution to a z -score. Given Information: The mean is 8, standard deviation is 3.5 and z = − 1.25. Calculation: Substitute μ = 8 , σ = 3.5 and z = − 1

6th Edition

ISBN: 9780134462356

Author: Pirnot

Publisher: PEARSON

See similar textbooks

Concept explainers

Inverse Normal Distribution

The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of tw…

Mean, Median, Mode

It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency o…

Z-Scores

A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow compar…

Videos

Question

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

Chapter 14.4, Problem 46E

To determine

To find:

The corresponding raw score if mean is 8, standard deviation is 3.5 and z=−1.25.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 14.4, Problem 45E

Chapter 14.4, Problem 47E

Students have asked these similar questions

Can you help me with D and E

Q1.1 1 Point Any set {V1, V2, V3, V4} that consists of four different vectors from R cannot possibly span Rº. True False Save Answer

Find: lim x →-6 f (x) limx-4 f (x) lim x-1 f (x) lim x →4 f (x) (-6,3) • (-1,5) -8 -7 (-6,-2) 4+ (4,5) (4,2) • (-1,1) -6

Chapter 14 Solutions

Mathematics All Around-Workbook

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, subject and related others by exploring similar questions and additional content below.

The corresponding raw score if mean is 8, standard deviation is 3.5 and z = − 1.25.

Solution Summary: The author explains how to find the corresponding raw score if the mean is 8, with a standard deviation of 3.5 and z=-mathrm1.25.

Concept explainers

Videos

To find:

The corresponding raw score if mean is 8, standard deviation is 3.5 and z=−1.25.

Want to see the full answer?

Chapter 14 Solutions

The corresponding raw score if mean is 8, standard deviation is 3.5 and z = − 1.25.

Solution Summary: The author explains how to find the corresponding raw score if the mean is 8, with a standard deviation of 3.5 and z=-mathrm1.25.

Concept explainers

Videos

To find: The corresponding raw score if mean is 8, standard deviation is 3.5 and z=−1.25.

Want to see the full answer?

Chapter 14 Solutions

To find:

The corresponding raw score if mean is 8, standard deviation is 3.5 and z=−1.25.