A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 171.7-cm and a standard deviation of 1.4-cm. For shipment, 9 steel rods are bundled together. Round all answers tofour decimal places if necessary.a. What is the distribution of X? X - N 171.7b. What is the distribution of ?- N 171.70.4667c. For a single randomly selected steel rod, find the probability that the length is between 171.3-cm and171.8-cm. 0.1409d. For a bundled of 9 rods, find the probability that the average length is between 171.3-cm and 171.8-cm.1.4e. For part d), is the assumption of normal necessary? Yes NoQuestion Help: Message instructorSubmit Question

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Answered: A company produces steel rods. 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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A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 114.5-cm and a standard deviation of 1.8-cm. Find P54, which is the length separating the shortest 54% rods from the longest 46%. PsA |-cm P54
If the mean speed for a major league fast ball is 90 miles per hour and the standard deviation is 5 miles per hour, what would the standardized score be for a pitch that is 97 miles per hour? O 0.4 4.0 1.4 O 1.0
The Acme Company manufactures widgets. The distribution of widget weights is bell-shaped. The widget weights have a mean of 37 ounces and a standard deviation of 6 ounces. Use the Standard Deviation Rule, also known as the Empirical Rule (see image below). Do not use normalcdf on your calculator. Suggestion: sketch the distribution in order to answer these questions. a) 99.7% of the widget weights lie between b) What percentage of the widget weights lie between 25 and 55 ounces? c) What percentage of the widget weights lie below 43 ? 0.15% -3s 2.35% 13.5% -15 Submit Question 34% 34% 0 1s 13.5% 2s 2.35% 3s 0.15% Question Help: Video Written Example Message instructor and % %
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 Standard Deviation Rule, also known as the Empirical Rule (see image below). Do not use normalcdf on your calculator. Suggestion: sketch the distribution in order to answer these questions. a) 99.7% of the widget weights lie between b) What percentage of the widget weights lie between 37 and 73 ounces? c) What percentage of the widget weights lie above 28? 0.15% -3s 2.35% -25 13.5% -1s 34% 34% 1s 13.5% 2s 2.35% 3s and 0.15% % %
In the 1992 presidential election, Alaska's 40 election districts averaged 2038 votes per district for President Clinton. The standard deviation was 576. (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 2038 a population mean or a sample mean? Select an answer Population Mean Sample Mean c. Find the probability that a randomly selected district had fewer than 1842 votes for President Clinton. d. Find the probability that a randomly selected district had between 1997 and 2099 votes for President Clinton. e. Find the first quartile for votes for President Clinton. Round your answer to the nearest whole number.
I need help with this question :) Here are the mean and Standard Deviation for both men and women: Men: Mean 69.0 Standard Deviation: 2.8 Women: Mean 63.6 Standard Deviation: 2.5 Tall Poppies International is a group for vertically gifted individuals (tall people). To join, a man must be at least74 inches tall, and a woman must be at least 70 inches tall.a. What percentage of men are eligible for membership?b. What percentage of women are eligible?c. Are the height requirements fair for men and women?
The Acme Company manufactures widgets. The distribution of widget weights is bell-shaped. The widget weights have a mean of 60 ounces and a standard deviation of 3 ounces. Use the Standard Deviation Rule, also known as the Empirical Rule (see image below). Do not use normalcdf on your calculator. Suggestion: sketch the distribution in order to answer these questions. a) 99.7% of the widget weights lie between b) What percentage of the widget weights lie between 57 and 69 ounces? c) What percentage of the widget weights lie above 54 ? 0.15% -3s 2.35% -25 13.5% -1s 34% 34% 1s 13.5% 2s 2.35% 3s and 0.15% % %
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Both sets of values have an average of 13. Is set As standard deviation smaller, larger, or about the same as set abs? set A: 1 2 3 23 24 25 set B: 8 10 12 14 16 18
The amount of coffee that people drink per day is normally distributed with a mean of 15 ounces and a standard deviation of 5.5 ounces. 16 randomly selected people are surveyed. Round all answers to 4 decimal places where possible. A.Find the IQR for the average of 16 coffee drinkers.Q1 = ounces Q3 = ounces IQR: ounces
The Acme Company manufactures widgets. The distribution of widget weights is bell-shaped. The widget weights have a mean of 37 ounces and a standard deviation of 6 ounces. Use the Standard Deviation Rule, also known as the Empirical Rule (see image below). Do not use normalcdf on your calculator. Suggestion: sketch the distribution in order to answer these questions. a) 99.7% of the widget weights lie between b) What percentage of the widget weights lie between 25 and 55 ounces? c) What percentage of the widget weights lie below 43 ? 0.15% -3s 2.35% -25 13.5% 34% 34% Submit Question 1s 13.5% 2s 2.35% 35 0.15% Question Help: Video Written Example Message instructor and % %

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