An industrial sewing machine uses ball bearings that are targeted to have a diameter of 0.71 inch. The lower and upper specification limits under which the ball bearings can operate are 0.69 inch and 0.73 inch, respectively. Past experience has indicated that the actual diameterof the ball bearings is approximately normally distributed, with a mean of 0.713 inch and a standard deviation of 0.004 inch. Complete parts (a) through (e) below.a. What is the probability that a ball bearing is between the target and the actual mean?0.2734 (Round to four decimal places as needed.)b. What is the probability that a ball bearing is between the lower specification limit and the target?(Round to four decimal places as needed.)C

We have given the following Mean = 0.713 Standard deviation = 0.004

Answered: An industrial sewing machine uses ball…

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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Table 1.6 A biologist measured the width(in mm) of the upper molar in 40 specimens(population) of a certain mammal. These results are given in the ff. fdt. Mean width(mm) frequency 5.5 3 5.8 10 6.1 15 6.4 8 6.7 3 7.0 1 Calculate the mean deviation(MD) and standard deviation(s) to the nearest hundredths. Choose the relationship which will describe the fdt in terms of variation. Group of answer choices A. None of the measures describes the variation. B. The standard deviation is more variable than the mean deviation. C. Equal variation. D. The mean deviation is more variable than the standard deviation.
A ski gondola carries skiers to the top of a mountain. Assume that weights of skiers are normally distributed with a mean of 180 lb and a standard deviation of 36 lb. The gondola has a stated capacity of 25 passengers, and the gondola is rated for a load limit of 3500 lb. Complete parts (a) through (d) below. a. Given that the gondola is rated for a load limit of 3500 lb, what is the maximum mean weight of the passengers if the gondola is filled to the stated capacity of 25 passengers? The maximum mean weight is 140 lb. (Type an integer or a decimal. Do not round.) b. If the gondola is filled with 25 randomly selected skiers, what is the probability that their mean weight exceeds the value from part (a)? The probability is: (Round to four decimal places as needed.)
Solve for C)
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A ski gondola carries skiers to the top of a mountain. Assume that weights of skiers are normally distributed with a mean of 197 lb and a standard deviation of 43 lb. The gondola has a stated capacity of 25 passengers, and the gondola is rated for a load limit of 3750 Ib. Complete parts (a) through (d) below. a. Given that the gondola is rated for a load limit of 3750 lb, what is the maximum mean weight of the passengers if the gondola is filled to the stated capacity of 25 passengers? The maximum mean weight is Ib. (Type an integer or a decimal. Do not round.) b. If the gondola is filled with 25 randomly selected skiers, what is the probability that their mean weight exceeds the value from part (a)? The probability is (Round to four decimal places as needed.) c. If the weight assumptions were revised so that the new capacity became 20 passengers and the gondola is filled with 20 randomly selected skiers, what is the probability that their mean weight exceeds 187.5 lb, which is the…
An industrial sewing machine uses ball bearings that are targeted to have a diameter of 0.72 inch. The lower and upper specification limits under which the ball bearings can operate are 0.71 inch and 0.73 inch, respectively. Past experience has indicated that the actual diameter of the ball bearings is approximately normally distributed, with a mean of 0.724 inch and a standard deviation of 0.003 inch. Complete parts (a) through (e) below. a. What is the probability that a ball bearing is between the target and the actual mean? (Round to four decimal places as needed.) b. What is the probability that a ball bearing is between the lower specification limit and the target? (Round to four decimal places as needed.) c. What is the probability that a ball bearing is above the upper specification limit? (Round to four decimal places as needed.) d. What is the probability that a ball bearing is below the lower specification limit? (Round to four decimal places as needed.) e. Of all the ball…
A ski gondola carries skiers to the top of a mountain. Assume that weights of skiers are normally distributed with a mean of 186 lb and a standard deviation of 44lb. The gondola has a stated capacity of 25 passengers, and the gondola is rated for a load limit of 3500lb. Complete parts (a) through (d) below. A. Given that the gondola is rated for a load limit of 3500lb, what is the maximum mean weight of the passengers if the gondola is filled to the stated capacity of 25 passengers? The maximum mean weight is______ B. If the gondola is filled with 25 randomly selected skiers, what is the probability that their mean weight exceeds the value from part (a)? The probability is____ C. If the weight assumptions were revised so that the new capacity became 20 passengers and the gondola is filled with 20 randomly selected skiers, what is the probability that their mean weight exceeds 186 lb, which is the maximum mean weight that does not cause the total load to exceed 3500lb? The…
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The ASA softball association is interested in knowing the average pitching speed of a 12U fastpitch softball pitcher. A random sample of forty pitches is recorded. The average speed of the pitch is found to be forty-one mph with standard deviation two mph. a. What is the parameter of interest? b. What is the point estimate you would calculate to estimate the parameter? What is its value?
An industrial sewing machine uses ball bearings that are targeted to have a diameter of 0.71 inch. The lower and upper specification limits under which the ball bearings can operate are 0.69 inch and 0.73 inch, respectively. Past experience has indicated that the actual diameter of the ball bearings is approximately normally distributed, with a mean of 0.713 inch and a standard deviation of 0.004 inch. Complete parts (a) through (e) below. a. What is the probability that a ball bearing is between the target and the actual mean? 0.2734 (Round to four decimal places as needed.) b. What is the probability that a ball bearing is between the lower specification limit and the target? 0.2266 (Round to four decimal places as needed.) c. What is the probability that a ball bearing is above the upper specification limit? 0 (Round to four decimal places as needed.) d. What is the probability that a ball bearing is below the lower specification limit? (Round to four decimal places as needed.)
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A water taxi carries passengers from harbor to another. Assume that weights of passengers are normally distributed with a mean of 200 lb and a standard deviation of 38 lb. The water taxi has a stated capacity of 25 passengers, and the water taxi was rated for a load limit of 3750 lb. Complete parts (a) through (d) below. a. Given that the water taxi was rated for a load limit of 3750 lb, what is the maximum mean weight of the passengers if the water taxi is filled to the stated capacity of 25 passengers? The maximum mean weight is 150 lb. (Type an integer or a decimal. Do not round.) ... b. If the water taxi is filled with 25 randomly selected passengers, what is the probability that their mean weight exceeds the value from part (a)? The probability is 1 (Round to four decimal places as needed.) c. If the weight assumptions were revised so that the new capacity became 20 passengers and the water taxi is filled with 20 randomly selected passengers, what is the probability that their…

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