Note: For any part below, if it cannot be answered, enter NA.A quality control company was hired to study the length of meter sticks produced by a certaincompany. The team carefully measured the length of many maný meter sticks, and the distributionseems to be slightly skewed to the right with a mean of 100.08 cm and a standard deviation of 0.13cm.a) What is the probability of finding a meter stick with a length of more than 100.17 cm?b) What is the probability of finding a group of 12 meter sticks with a mean length of less than 100.04 cm?c) What is the probability of finding a group of 42 meter sticks with a mean length of more than 100.09cm?d) What is the probability of finding a group of 48 meter sticks with a mean length of between 100.07 and100.09 cm?e) For a random sample of 18 meter sticks, what mean length would be at the 92nd percentile?[Round your answers to two decimal places.]Submit Question893.

Answered: Image /qna-images/answer/c6e7151e-c36b-4637-b933-f14fcca000d9.jpg

Answered: A quality control company was hired to…

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 survey found that women's heights are normally distributed with mean 63.6in and standard deviation 2.2 in. A branch of the military requires women's heights to be between 58 in and 80 in. a. Find the percentage of women meeting the height requirement. Are many women being denied the opportunity to join this branch of the military because they are too short or too tall? b. If this branch of the military changes the height requirements so that all women are eligible except the shortest 1% and the tallest 2%, what are the new height requirements? a. The percentage of women who meet the height requirement is nothing%. (Round to two decimal places as needed.)
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Suppose that on a certain section of I-95, with a posted speed limit of 65 miles per hour, the speeds of all vehicles have a bell-shaped distribution with a mean of 72 mph and a standard deviation of 3 mph. Find the percentage of vehicles with the following speeds on this section of I-95: greater than 75 mph.
A manufacturer of bolts has a quality control policy that requires it to destroy any bolts that are more than 2 standard deviations from the mean. The quality control engineer knows that the bolts coming off the assembly line have a mean length of 8cm with a standard deviation of 0.05 cm. For what length will a bolt be destroyed?
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Maddie has two different routes that she can take to get to school. The first route is a longer distance, but has no traffic lights. The second route is a shorter distance, but has a lot of traffic lights. The amount of time it takes to get to school by the "longer distance" route follows a Normal distribution with mean 20 minutes and standard deviation o = 1.5 mirutes. The amount of time it takes to get to school by the "shorter distance" route follows a Normal distribution with mean =17 minutes and standard deviation a = 6.5 minutes. Suppose we select independent random samples of 20 days for each route. Let XL-Xs be the đifference in the sample mean travel time for the two routes %3D %3D (a) Calculate the probability that the sample mean time for the longer distance is shorter than the sample mean time for the shorter distance. (b) Should we be surprised if the sample mean time for the longer distance is shorter than the sample mean time for the shorter distance?

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