A manufacturer produces piston rings for an automobile engine. It is known that ring diameter is normally distributed with o = 0.001millimeters. A random sample of 15 rings has a mean diameter of = 74.185. Construct a 99% two-sided confidence interval on thetrue mean piston diameter and a 95% lower confidence bound on the true mean piston diameter.Round your answers to 3 decimal places.(a) Calculate the 99% two-sided confidence interval on the true mean piston diameter.<μ< i(b) Calculate the 95% one-sided lower confidence interval on the true mean piston diameter.με i

Given that, A manufacturer produces piston rings for an automobile engine. It is known that ring…

Answered: A manufacturer produces piston rings…

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 manufacturer produces piston rings for an automobile engine. It is known that ring diameter is normally distributed with o = 0.001 millimeters. A random sample of 15 rings has a mean diameter of x = 74.170. Construct a 99% two-sided confidence interval on the true mean piston diameter and a 95% lower confidence bound on the true mean piston diameter. Round your answers to 3 decimal places. (a) Calculate the 99% two-sided confidence interval on the true mean piston diameter. i
A simple random sample of size n=40 is drawn from a population. The sample mean is found to be x=121.3 and the sample standard deviation is found to be x=12.3. Construct a 99% confidence interval for the population mean.
A veterinarian wants to estimate the mean weight of a cat in their city. They take a random sample of 19 cats and found a mean of 10.9 lbs with a sample standard deviation of 1 lbs. Find the 95% confidence interval of the mean. Assume that the cat weights are normally distributed. Do not round in between steps. Round answers to at least 4 decimal places.
You measure 29 textbooks' weights and find they have a mean weight of 49 ounces. Assume the population standard deviation is 11.9 ounces. Based on this, construct a 90% confidence interval for the true population mean textbook weight.Give your answers as decimals, to two places < μ <
3
The mean test score for a simple random sample of n=100 students was =80. The population standard deviation of test scores is σ=15. Construct a 95% confidence interval for the population mean test score μ.
You measure 25 backpacks' weights, and find they have a mean weight of 63 ounces. Assume the population standard deviation is 9.2 ounces. Based on this, what is the maximal margin of error associated with a 99% confidence interval for the true population mean backpack weight. Give your answer as a decimal, to two places ounces
The manager of a fleet of automobiles is testing two brands of radial tires and assigns one tire of each brand at random to the two rear wheels of eight cars and runs the cars until the tires wear out. The data (in kilometers) follow. Find a 99% confidence interval on the difference in the mean life. Car Brand 1 Brand 2 1 36,925 34,318 2 45,300 42,280 3 36,256 35.548 4 32,100 31,950 5 37,210 38,015 6 48,360 47,800 7 38.200 37,810 8 33,500 33,215 Round your answer to 2 decimal places. Do not use commas.
A survey of 30 adults found that the mean age of a person's vehicle is 3.6 years. Assuming the population distribution is normal and the standard deviation is 2 years, find the 94% confidence interval for the population mean. What is the meaning of this confidence interval?
In a random sample of 2500 men being treated for obesity, the mean total cholesterol level is 175 with a standard deviation of 25. Construct a 95% confidence interval around the mean and interpret it. Use the context of the question please.
A professor wants to estimate how many hours per week her students study. A simple random sample of 72 students had a mean of 19 hours of studying per week. Construct a 90% confidence interval for the mean number of hours a student studies per week. Assume that the population standard deviation is known to be 2.1 hours per week. Round to two decimal places.
A study of 40 men on probation showed that their average number of days remained stayed on probation was 186. The standard deviation of the population is 6. Find the 95% confidence interval of the mean number of days men remained on probation. Find the 95% confidence interval of the mean number of days men remained on probation if a sample of 100 probationers is used instead of a sample of 40. Which interval is smaller? Explain why.

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