Waste is an important factor to monitor in many manufacturing processes. When the variability of material used in a process is too high, engineers often must make changes to the process to avoid expensive wastage. An anti-rust spray uses a liquid that is sprayed on all surfaces of a certain type of racing car, and the amount used on each car was determined to be a normally distributed random variable. You recorded the fluid amount sprayed on each car of a randomly selected sample of 25 cars to have a sample mean X=100 fluid ounces and a sample standard deviation of S=20.4025 fluid ounces. a) Test the hypothesis that the true mean of sprayed amount Ho: µ = 100 versus: H1: µ < 100 using a = 0.05. b) What is the P-value of the test in part a) above?

Waste is an important factor to monitor in many manufacturing processes. When the variability of material used in a process is too high, engineers often must make changes to the process to avoid expensive wastage. An anti-rust spray uses a liquid that is sprayed on all surfaces of a certain type of racing car, and the amount used on each car was determined to be a normally distributed random variable. You recorded the fluid amount sprayed on each car of a randomly selected sample of 25 cars to have a sample mean X=100 fluid ounces and a sample standard deviation of S=20.4025 fluid ounces. a) Test the hypothesis that the true mean of sprayed amount Ho: µ = 100 versus: H1: µ < 100 using a = 0.05. b) What is the P-value of the test in part a) above?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter4: Equations Of Linear Functions

Section4.5: Correlation And Causation

Problem 2AGP

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c) Compute the power of the test if the true mean amount is as high as 98.4 fluid ounce. [You
can determine it by any method or tool you want].
d) Show how the question in part (a) could be answered by constructing one-sided confidence
bound on the mean speed.
e) Is there strong evidence to conclude that the variance in this experiment is less than 529? Use
a = 0.05.

Waste is an important factor to monitor in many manufacturing processes. When the variability
of material used in a process is too high, engineers often must make changes to the process to
avoid expensive wastage. An anti-rust spray uses a liquid that is sprayed on all surfaces of a
certain type of racing car, and the amount used on each car was determined to be a normally
distributed random variable. You recorded the fluid amount sprayed on each car of a randomly
selected sample of 25 cars to have a sample mean x=100 fluid ounces and a sample standard
deviation of S=20.4025 fluid ounces.
a) Test the hypothesis that the true mean of sprayed amount Ho: µ =
using α- 0.05.
100 versus: Hi: µ < 100
b) What is the P-value of the test in part a) above?

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