Use the empirical rule to solve the problem.15)15) At one college, GPA's are normally distributed with a mean of 2.8 and a standard deviation of 0.6.What percentage of students at the college have a GPA between 2.2 and 3.4?A) 84.13%B) 99.74%C) 68.26%D) 95.44%Determine which score corresponds to the higher relative position.

Answered: Image /qna-images/answer/96530031-5aa2-4851-aa06-27a1891ba446.jpg

Answered: Use the empirical rule to solve the…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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The Acme Company manufactures widgets. The distribution of widget weights is bell-shaped. The widget weights have a mean of 42 ounces and a standard deviation of 5 ounces. Use the Empirical Rule. Suggestion: sketch the distribution in order to answer these questions. a) 68% of the widget weights lie between and b) What percentage of the widget weights lie between 27 and 47 ounces? % c) What percentage of the widget weights lie below 52 ?
The Acme Company manufactures widgets. The distribution of widget weights is bell-shaped. The widget weights have a mean of 64 ounces and a standard deviation of 3 ounces. Use the Standard Deviation Rule, also known as the Empirical Rule. Suggestion: sketch the distribution in order to answer these questions. a) 95% of the widget weights lie between oz and b) What percentage of the widget weights lie between 55 and 70 ounces? % c) What percentage of the widget weights lie below 67 ? %
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Researchers collected information on the body parts of a new species of frog. The thumb length for the female frog has a mean of 8.28 mm and a standard deviation of 0.78 mm. Let x denote thumb length for a female specimen. a. Find the standardized version of x. b. Determine and interpret the z-scores for thumb lengths of 10.3 mm and 7.1 mm. Round your answers to two decimal places. a. Find the standardized version of x. z=enter your response here
Heights of men have a mean of 69.0 inches and a standard deviation of 2.8 inches.Find each of the following z-scores and tell if it is unusual. a) Nosferatu is 7 ft. 1 in. tall: z = and that is (unusual/not unusual) b) Bob the Builder is 5 ft. 4 in. tall: z = and that is (unusual/not unusual) c) Kendrick is 69.72 inches tall: z = and that is (unusual/not unusual)
9. Which measures aren’t resistant? (more than one could be correct) a. mean b. median c. IQR d. Standard deviation e. range f. coefficient of correlation
At a tennis tournament a statistician keeps track of every serve. The statistician finds that the mean serve speed of a particular player was 110 miles per hour (mph) and the standard deviation of the serve speeds was 5 mph. Assume that the distribution of the serve speeds was bell shaped. Using the Empirical Rule, find the following. a) percent of serves expected to be above 120mph. b) proportion of serves expected to be between 105mph and 125mph. c) proportion of serves expected to be below 105mph. d) percent of serves expected to be within 3 standard deviations of the mean.
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The Acme Company manufactures widgets. The distribution of widget weights is bell-shaped. The widget weights have a mean of 55 ounces and a standard deviation of 6 ounces.Use the Empirical Rule, finda) 99.7% of the widget weights lie between and b) What percentage of the widget weights lie between 43 and 73 ounces? %c) What percentage of the widget weights lie above 49 ?

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