The Acme Company manufactures widgets. The distribution of widget weights is bell-shaped. Thewidget weights have a mean of 37 ounces and a standard deviation of 4 ounces.Use the Standard Deviation Rule, also known as the Empirical Rule.Suggestion: sketch the distribution in order to answer these questions.a) 99.7% of the widget weights lie betweenoz andOZb) What percentage of the widget weights lie between 29 and 49 ounces?%c) What percentage of the widget weights lie below 41 ?

We have given that, X be the random variable from normal distribution with mean (μ) = 37 and…

Answered: The Acme Company manufactures widgets.…

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 6 ounces. Use the Standard Deviation Rule, also known as 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 30 and 48 ounces? % c) What percentage of the widget weights lie above 24 ?
The Acme Company manufactures widgets. The distribution of widget weights is bell-shaped. The widget weights have a mean of 51 ounces and a standard deviation of 8 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 35 and 59 ounces? %c) What percentage of the widget weights lie below 75 ? %
The Acme Company manufactures widgets. The distribution of widget weights is bell-shaped. The widget weights have a mean of 61 ounces and a standard deviation of 7 ounces.a) 95% of the widget weights lie between and b) What percentage of the widget weights lie between 54 and 75 ounces? %c) What percentage of the widget weights lie above 40 ? %
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 ?
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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 ? %
The Acme Company manufactures widgets. The distribution of widget weights is bell-shaped. The widget weights have a mean of 35 ounces and a standard deviation of 4 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 b) What percentage of the widget weights lie between 31 and 43 ounces? % c) What percentage of the widget weights lie below 47? and %
A combination lock uses three numbers between 1 and 88 with repetition, and they must be selected in the correct sequence. Isthe name of "combination lock" appropriate? Why or why not? Choose the correct answer below. A. Yes, because the combinations rule would be used to determine the total number of combinations. B. No, because the permutations rule would be used to determine the total number of combinations. C. No, because the multiplication counting rule would be used to determine the total number of combinations. D. No, because factorials would be used to determine the total number of combinations.
The Acme Company manufactures widgets. The distribution of widget weights is bell-shaped. The widget weights have a mean of 35 ounces and a standard deviation of 10 ounces. Use the Standard Deviation Rule, also known as 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 5 and 45 ounces? c) What percentage of the widget weights lie below 55 ?
The Acme Company manufactures widgets. The distribution of widget weights is bell-shaped. The widget weights have a mean of 61 ounces and a standard deviation of 9 ounces. Use the Empirical Rule. Suggestion: sketch the distribution in order to answer these questions. a) 95% of the widget weights lie between and b) What percentage of the widget weights lie between 52 and 79 ounces? % c) What percentage of the widget weights lie above 34? %
In the 1992 presidential election, Alaska's 40 election districts averaged 1989 votes per district for President Clinton. The standard deviation was 568. (There are only 40 election districts in Alaska.) The distribution of the votes per district for President Clinton was bell-shaped. Let X = number of votes for President Clinton for an election district. (Source: The World Almanac and Book of Facts) Round all answers except part e. to 4 decimal places. a. What is the distribution of X? X ~ N( __ , __ ) b. Is 1989 a population mean or a sample mean? Select an answer _______. c. Find the probability that a randomly selected district had fewer than 2087 votes for President Clinton. _____ d. Find the probability that a randomly selected district had between 1905 and 2194 votes for President Clinton.______ e. Find the first quartile for votes for President Clinton. Round your answer to the nearest whole number. ______
The Acme Company manufactures widgets. The distribution of widget weights is bell-shaped. The widget weights have a mean of 46 ounces and a standard deviation of 9 ounces.Use the Empirical Rule.Suggestion: sketch the distribution in order to answer these questions.a) 99.7% of the widget weights lie between and b) What percentage of the widget weights lie between 28 and 73 ounces? %c) What percentage of the widget weights lie above 37 ? %

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