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 2.4 and x = 6.2. Calculation: Substitute μ = 8 , σ = 2.4 and x = 6.2 in z = x − μ σ ,

6th Edition

ISBN: 8220103632027

Author: Pirnot

Publisher: Pearson Education (US)

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 40E

To determine

To find:

The z-score if mean is 8, standard deviation is 2.4 and x=6.2.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 14.4, Problem 39E

Chapter 14.4, Problem 41E

Students have asked these similar questions

4. (i) Let a discrete sample space be given by N = {W1, W2, W3, W4}, and let a probability measure P on be given by P(w1) = 0.2, P(w2) = 0.2, P(w3) = 0.5, P(wa) = 0.1. Consider the random variables X1, X2 → R defined by X₁(w1) = 1, X₁(w2) = 2, X2(w1) = 2, X2 (w2) = 2, Find the joint distribution of X1, X2. (ii) X1(W3) = 1, X₁(w4) = 1, X2(W3) = 1, X2(w4) = 2. [4 Marks] Let Y, Z be random variables on a probability space (, F, P). Let the random vector (Y, Z) take on values in the set [0, 1] x [0,2] and let the joint distribution of Y, Z on [0, 1] x [0,2] be given by 1 dPy,z (y, z) ==(y²z+yz2) dy dz. harks 12 Find the distribution Py of the random variable Y. [8 Marks]

Need help answering wuestion

For the following function, find the full power series centered at x = 0 and then give the first 5 nonzero terms of the power series and the open interval of convergence. f(x) = Σ| n=0 9 f(x) = 6 + 4x f(x)− + + + ++··· The open interval of convergence is: ☐ (Give your answer in help (intervals) .)

Chapter 14 Solutions

EBK MATHEMATICS ALL AROUND

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.