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

See similar textbooks

Similar questions

9. Assume that a randomly selected subject is given a bone density test. Those test scores are normally distributed with a mean of 0 and a standard deviation of 1. Find the probability that a given score is less than -0.98 and draw a sketch of the region.
24.
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?
19.
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?
3. In a job fair, 3 000 applicants applied for a job. Their mean age was found to be 28 with a standard deviation of 4 years. a) Draw a normal curve distribution showing the z-scores and the raw scores. b) How many applicants are below 20 years old? c) How many applicants are above 32 years old? d) How many have ages between 24 and 32 years? ·e) Find the ages such that 75% is below it. 5. Five hundred children participated in a field demonstration. Their heights averaged 110 cm with standard deviation of 6 cm. a) What is the probability that a child, picked at a random, has a height greater than 116 cm? b) What is the probability that the height of a child picked at a random, is less than 104 cm. c) How many children belong to the upper 15% of the group?
The amount of calories consumed by customers at the Chinese buffet is normally distributed with mean 2967 and standard deviation 539. One randomly selected customer is observed to see how many calories X that customer consumes. Round all answers to 4 decimal places where possible.b. Find the probability that the customer consumes less than 2600 calories. c. What proportion of the customers consume over 3342 calories? d. The Piggy award will given out to the 2% of customers who consume the most calories. What is the fewest number of calories a person must consume to receive the Piggy award? calories. (Round to the nearest calorie)
Suppose 90 geology students measure the mass oven or sample. Due to human error in limitations in the reliability of the balance, not all the readings are equal. The results are found to closely approximate a normal curve, with mean 86 g and standard deviation 1 g. Use the symmetry of the normal curve and the empirical rule as needed to estimate the number of students reporting readings more than 86 g
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
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.)
45. Suppöse the average height of NBA players is normally distributed with mean 200cm and standard deviation 8.89cm. What is the probabilíty that a randomly selected players will have a height between 190cm and 210cm? M= 200 a. 0.7288 b. 0.7372 8=8.89 C. 0.1314 d. 0.7698 e. 0.8686
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

SEE MORE QUESTIONS

Recommended textbooks for you

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

Elementary Statistics: Picturing the World (7th E…

Statistics

ISBN:

9780134683416

Author:

Ron Larson, Betsy Farber

Publisher:

PEARSON

The Basic Practice of Statistics

Statistics

ISBN:

9781319042578

Author:

David S. Moore, William I. Notz, Michael A. Fligner

Publisher:

W. H. Freeman

Introduction to the Practice of Statistics

Statistics

ISBN:

9781319013387

Author:

David S. Moore, George P. McCabe, Bruce A. Craig

Publisher:

W. H. Freeman

SEE MORE TEXTBOOKS