4. A peephole is a small, round opening through a door from which a viewer on the inside of a dwelling may "peek" to see directly outside the door. Traditionally, peepholes have been placed 60 inches above the floor. Standing eye heights of women are normally distributed with a mean of 1516 mm and a standard deviation of 63 mm. Standing eye heights of men are normally distributed with a mean of 1633 mm and a standard deviation of 66 mm.a. What percentage of women would be unable to use a peephole located 60 inches above the ground?b. What percentage of men would be unable to use a peephole located 60 inches above the ground?c. Suppose you are installing peepholes in your many properties and decide to place the peephole at a height that would allow 99% of women to use it. What height will the peephole be at?

The mean of the women distribution, The standard deviation of the women distribution, The mean of…

Answered: 4. A peephole is a small, round opening…

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 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 ? %
An engineer working for a manufacturer of electronic components takes a large number of measurements of a particular dimension of components from the production line. She finds that the distribution of dimensions is normal, with a mean of 2.340 cm and a standard deviation of 0.056 cm. a.) What percentage of measurements will be greater than 2.45 cm.? b.) What percentage of dimensions will be between 2.25 cm. and 2.45 cm.? c.) What value of the dimension will not be exceeded by 98% of the components?
Use the Empirical Rule. The mean speed of a sample of vehicles along a stretch of highway is 66 miles per hour, with a standard deviation of 5 miles per hour. Estimate the percent of vehicles whose speeds are between 51 miles per hour and 81 miles per hour. (Assume the data set has a bell-shaped distribution) Approximately% of vehicles travel between 51 miles per hour and 81 miles per hour.
A quick survey of peanut butter prices had standard deviation and mean of $.26 and $3.68 respectively. Compute the area for a peanut butter jar costing more than $4.25
Use the Empirical Rule. The mean speed of a sample of vehicles along a stretch of highway is 68 miles per hour, with a standard deviation of 3 miles per hour. Estimate the percent of vehicles whose speeds are between 65 miles per hour and 71 miles per hour. (Assume the data set has a bell-shaped distribution.) Approximately nothing% of vehicles travel between 65 miles per hour and 71 miles per hour.
Tom Sevits is the owner of the Appliance Patch. Recently Tom observed a difference in the dollar value of sales between the men and women he employs as sales associates. A sample of 40 days revealed the men sold a mean of $1,400 worth of appliances per day. For a sample of 50 days, the women sold a mean of $1,500 worth of appliances per day. Assume the population standard deviation for men is $200 and for women $250. At the .05 significance level, can Mr. Sevits conclude that the mean amount sold per day is larger for the women? (a)State the null hypothesis and the alternate hypothesis. (b) What is the decision rule? (c) What is the value of the test statistic? (d) What is your decision regarding the null hypothesis? (e)What is the p-value? (f) Interpret the result. (f)Obtain the 95% confidence interval for the difference between means. Free summaries, lecture notes & exam prep
Companies who design furniture for elementary school classrooms produce a variety of sizes for children of different ages. Suppose the heights of kindergarten children are normally distributed with a mean of 97 cm and a standard deviation of 4.9 cm. What proportion of kindergarten children should the company expect to be less than 91 cm tall?
A quick survey of peanut butter prices had standard deviation and mean of $0.26 and $3.68, respectively. Compute the area for a peanut butter jar costing less than $3.50. Submit Question
please show work.
It is generally believed that the heights of adult females in the U.S. are approximately normally distributed with mean 65 inches and standard deviation 4 inches. A small university is considering custom ordering beds for their dorm rooms. Answer the following questions about the lengths of beds in dorm rooms at this university. A. The beds that the university currently purchases are 70 inches long. What proportion of females will be able to fit on the bed while lying perfectly straight (less than 70”)? Draw/Label/Shade a curve with this information and provide the value of the requested proportion. B. What is the height of a female who is in the top 10% for her height? Draw/Label/Shade
The distribution of the heights of young men is approximately normal with a mean of 70 inches and a standard deviation of 2.5 inches. Fill in the blanks: The heights of the middle 95 percent of men fall between inches and inches. (Give your answers as whole numbers.)

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