**Problem Statement:**Given a normal distribution with mean 100 and standard deviation 10, find the number of standard deviations the measurement is from the mean. Express the answer as a positive number.**Measurement Provided:**78---**Solution Process:**The measurement 78 is \(\_\_\_\) standard deviation(s) from the mean.*(Type an integer or a decimal in the answer box)*---**Explanation:**To find how many standard deviations a particular measurement is from the mean, use the formula:\[z = \frac{X - \mu}{\sigma}\]Where:- \(X\) is the measurement value- \(\mu\) is the mean- \(\sigma\) is the standard deviationIn this case:- \(X = 78\)- \(\mu = 100\)- \(\sigma = 10\)Calculate \(z\) to express the deviation in terms of standard deviations.

Answered: Given a normal distribution with mean…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

Find the indicated IQ score. The graph to the right depicts IQ scores of adults, and those scores are normally distributed with a mean of 100 and a standard deviation of 15. Click to view page 1 of the table. Click to view page 2 of the table. 0.6 The indicated IQ score, x, is (Round to one decimal place as needed.)
166
True/False Write T or F in the blank to indicate whether the statement is true or false. A statistic is a piece of data that describes an entire population. When constructing a histogram, the bars should touch each other. The standard deviation is equal to the largest data point minus the smallest data point. The Greek letter µ represents the mean value of the data for a population. If the data is skewed, the best measure of average is the median as opposed to the mean. Qualitative data cannot be displayed via a pie chart. The median is the point at which 50% of the data are smaller and 50% of the data are larger. When r = -1, that means there is no corelation between the two variables. The number of points scored in a baseball game is a discrete piece of data. If variable y always increases whenever variable x increases, the only possibility is that x causes y.
Use the normal distribution of fish lengths for which the mean is 8 inches and the standard deviation is 2 inches. Assume the variable x is normally distributed. left parenthesis a right parenthesis If 400 fish are randomly selected, how many would you expect to be shorter than 6 inches?
Find the indicated IQ score. The graph to the right depicts IQ scores of adults, and those scores are normally distributed with a mean of 100 and a standard deviation of 15. Click to view page 1 of the table. Click to view page 2 of the table. 0.65 The indicated IQ score, x, is (Round to one decimal place as needed.) Enter your answer in the answer box and then click Check Answer. Check Answer Clear All All parts showing Aa
Find the area of the shaded region. The graph to the right depicts IQ scores of adults, and those scores are normally distributed with a mean of 100 and a standard deviation of 15. The area of the shaded region is. (Round to four decimal places as needed.) 106 122
Help
Find the range and the standard deviation (correct to two decimal places). 81, 91, 96, 96, 96 a) standard deviation =
The coefficient of variation CV describes the standard deviation as a percent of the mean. Because it has no units, you can use the coefficient of variation to compare data with different units. Find the coefficient of variation for each sample data set. What can you conclude? Standard deviation CV= • 100% Mean Click the icon to view the data sets. Data table CVneights =D% (Round to the nearest tenth as needed.) Heights Weights 66 230 73 171 67 187 70 187 70 224 74 166 75 198 65 166 68 209 68 200 67 202 72 227
Find the standard deviation for the group of data items. 5, 6, 7, 7, 8, 9 The standard deviation is (Simplify your answer. Round to two decimal places as needed.)
The scores on the Accuplacer test and High School GPAS are normally distributed. The Accuplacer test had a mean of 35 and a standard deviation of 9. High School GPAS had a mean of 2.8 and a standard deviation of 0.2. What high school GPA do you need to equal a score of 56 on the Accuplacer test? Give answer to two decimal placés. Check Answer
instructor gives a 100-point examination in which the grades are normally distributed. The mean is 66 and the standard deviation is 5. If there are 5% A's and 5% F's, 15% B's and 15% D's, and 60% C's, find the scores that divide the distribution into those categories. Round the cutoff scores to the nearest whole number. Round intermediate z-value calculations to 2 decimal places. A:_- B: C: D: --- F: _-_

SEE MORE QUESTIONS

Recommended textbooks for you

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

Elementary Statistics: Picturing the World (7th E…

Statistics

ISBN:

9780134683416

Author:

Ron Larson, Betsy Farber

Publisher:

PEARSON

The Basic Practice of Statistics

Statistics

ISBN:

9781319042578

Author:

David S. Moore, William I. Notz, Michael A. Fligner

Publisher:

W. H. Freeman

Introduction to the Practice of Statistics

Statistics

ISBN:

9781319013387

Author:

David S. Moore, George P. McCabe, Bruce A. Craig

Publisher:

W. H. Freeman

SEE MORE TEXTBOOKS

Given a normal distribution with mean 100 and standard deviation 10, find the number of standard deviations the measurement is from the mean. Express the answer as a positive number. 78 The measurement 78 is standard deviation(s) from the mean. (Type an integer or a decimal.)