8. The lengths of bolts produced in a certain factory may be taken to benormally distributed. The bolts are checked on two 'go-no go' gaugesso that those shorter than 2-983 in. or longer than 3-021 in. are rejectedas 'too-short' or 'too-long' respectively.A random sample of N300 bolts is checked. If they have meanlength 3-007 in. and standard deviation 0-011 in., what values wouldyou expect for n₁, the number of 'too-short' bolts and n₂, the number of'too-long' bolts?=1A sample of N = 600 bolts from another factory is also checked. Iffor this sample we find n₁20 and ₂15, find estimates for themean and standard deviation of the length of these bolts.

Answered: Image /qna-images/answer/d104e337-56e3-4487-96bc-b9bc71c9a6a8.jpg

Answered: 8. The lengths of bolts produced in a…

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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Suppose that a distribution of 300 items has mean 115 and standard deviation 4. Find the z-score of the item x = 121
8. Suppose the length of the newborn babies in a community is normally distributed with an average of 50 cm and a standard deviation of 3cm. If a newborn baby's length is 95th percentile, find the length in cm.
2. The owner of a factory that sells a particular bottled fruit juice claims that the average capacity of their product is 250 ml. To test the claim, a consumer group gets a sample of 100 such bottles, calculates the capacity of each bottle, and then finds the mean capacity to be 248 ml. The standard deviation is 5 ml. Is the claim true?
1. "The weights of 1,000 children, in average, is 45kg with standard deviation of 18kg. Suppose the weights are normally distributed, how many children weigh between 53kg and 58kg?"a. 670b. 236c. 94d. 764
15. The Exotic Fruit Juice Co. sell cartons of Passion Fruit and Orange fruit juice. The amount of liquid in each carton is normally distributed with a mean of 266ml and a standard deviation of 20ml. Cartons containing more than 300ml produce no profit. What percentage of cartons will this be?
4. The specification of the melting point of an alloy is 1200 degrees Celsius. If the melting point differs from this by more than 20 degrees, the composition of the alloy will have to be changed. Assume the melting point is normally distributed with standard deviation 35 degrees. A sample of 25 alloys were obtained and the average melting point were 1224 degrees. By using a = 0.01, determine whether the composition of the alloy will have to be changed? JTM
6. The mean weight of 200 people is 67kg and the standard deviation is 7kg. Assuming thatthe weights are normally distributed, determine how many people have a weighta. between 60 and 74 kgb. more than 81 kgc. between 53 and 88 kg
36. Packages of Lay's Potato Chips have a population standard deviation of 0.16 ounces. An SRS of 100 bags of Lay's Potato Chips have a sample mean of 18.024 ounces. What is the Standard Error for the average weight of the bags of Lay's Potato Chips ?
15. Claim: The mean pulse rate (in beats per minute) of adult males is equal to 69 bpm. For a random sample of 156 adult males, the mean pulse rate is 69.6 bpm and the standard deviation is 10.9 bpm. Find the value of the test statistic. The value of the test statistic is (Round to two decimal places as needed.)
Suppose that a distribution of 500 items has mean 115 and standard deviation 4. Find the z-score of the item xequals=125. z=enter your response here (Type an integer or decimal rounded to the nearest tenth as needed.)
A population has a normal distribution with a mean of 32.9 and a standard deviation of 35.2. Draw 4. a normal curve with labels, shading, and what you entered into the calculator for full credit. Round your answer to 4 decimal places. Find the probability that a randomly selected item is between 27.5 and 40.6 a) Find the probability that a sample size of 25 is randomly selected and is less than 28.2. b)
4. The specification of the melting point of an alloy is 1200 degrees Celsius. If the melting point differs from this by more than 20 degrees, the composition of the alloy will have to be changed. Assume the melting point is normally distributed with standard deviation 35 degrees. A sample of 25 alloys were obtained and the average melting point were 1224 degrees. By using a = 0.01, determine whether the composition of the alloy will have to be changed? UTM UTM

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