he manufacturer of the X-15 steel-belted redial truck tire claims that the mean mileage the tire can be driven before the tread wears out is 60,000 miles. Crosset Truck Company bought a sample of 48 tires and found that the mean mileage for its trucks is 59,000 miles (i.e. less than the manufacturer’s claim) with a standard deviation of 5,000 miles. Test the manufacturer’s claim at a significance level (α) equals 5%. Would your answer in (1) change if significance level become 10%?     Would your answer in (1) change if the probability of type I error equals zero? Justify your answer

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Topic Video
Question

The manufacturer of the X-15 steel-belted redial truck tire claims that the mean mileage the tire can be driven before the tread wears out is 60,000 miles. Crosset Truck Company bought a sample of 48 tires and found that the mean mileage for its trucks is 59,000 miles (i.e. less than the manufacturer’s claim) with a standard deviation of 5,000 miles.

  1. Test the manufacturer’s claim at a significance level (α) equals 5%.
  2. Would your answer in (1) change if significance level become 10%?    
  3. Would your answer in (1) change if the probability of type I error equals zero? Justify your answer
  4. If the same sample results had been obtained from a random sample of 125 tires, could your decision about the manufacturer’s claim changed using α=0.01 and comment on the results.
  5. Based on the sample size in (4), construct a 95% confidence level for the mean of mileage and comment on the results.
The manufacturer of the X-15 steel-belted redial truck tire claims
that the mean mileage the tire can be driven before the tread wears
out is 60,000 miles. Crosset Truck Company bought a sample of 48
tires and found that the mean mileage for its trucks is 59,000 miles
(i.e. less than the manufacturer's claim) with a standard deviation of
5,000 miles.
1. Test the manufacturer's claim at a significance level (a) equals
5%.
2. Would your answer in (1) change if significance level become
10%?
3. Would your answer in (1) change if the probability of type I error
equals zero? Justify your answer
4. If the same sample results had been obtained from a random
sample of 125 tires, could your decision about the manufacturer's
claim changed using a=0.01 and comment on the results.
5. Based on the sample size in (4), construct a 95% confidence level
for
the
mean
of
mileage
and
comment
on
the
results.
Transcribed Image Text:The manufacturer of the X-15 steel-belted redial truck tire claims that the mean mileage the tire can be driven before the tread wears out is 60,000 miles. Crosset Truck Company bought a sample of 48 tires and found that the mean mileage for its trucks is 59,000 miles (i.e. less than the manufacturer's claim) with a standard deviation of 5,000 miles. 1. Test the manufacturer's claim at a significance level (a) equals 5%. 2. Would your answer in (1) change if significance level become 10%? 3. Would your answer in (1) change if the probability of type I error equals zero? Justify your answer 4. If the same sample results had been obtained from a random sample of 125 tires, could your decision about the manufacturer's claim changed using a=0.01 and comment on the results. 5. Based on the sample size in (4), construct a 95% confidence level for the mean of mileage and comment on the results.
The manufacturer of the X-15 steel-belted redial truck tire claims
that the mean mileage the tire can be driven before the tread wears
out is 60,000 miles. Crosset Truck Company bought a sample of 48
tires and found that the mean mileage for its trucks is 59,000 miles
(i.e. less than the manufacturer's claim) with a standard deviation of
5,000 miles.
1. Test the manufacturer's claim at a significance level (a) equals
5%.
2. Would your answer in (1) change if significance level become
10%?
3. Would your answer in (1) change if the probability of type I error
equals zero? Justify your answer
4. If the same sample results had been obtained from a random
sample of 125 tires, could your decision about the manufacturer's
claim changed using a=0.01 and comment on the results.
5. Based on the sample size in (4), construct a 95% confidence level
for
the
mean
of
mileage
and
comment
on
the
results.
Transcribed Image Text:The manufacturer of the X-15 steel-belted redial truck tire claims that the mean mileage the tire can be driven before the tread wears out is 60,000 miles. Crosset Truck Company bought a sample of 48 tires and found that the mean mileage for its trucks is 59,000 miles (i.e. less than the manufacturer's claim) with a standard deviation of 5,000 miles. 1. Test the manufacturer's claim at a significance level (a) equals 5%. 2. Would your answer in (1) change if significance level become 10%? 3. Would your answer in (1) change if the probability of type I error equals zero? Justify your answer 4. If the same sample results had been obtained from a random sample of 125 tires, could your decision about the manufacturer's claim changed using a=0.01 and comment on the results. 5. Based on the sample size in (4), construct a 95% confidence level for the mean of mileage and comment on the results.
Expert Solution
steps

Step by step

Solved in 5 steps

Blurred answer
Knowledge Booster
Hypothesis Tests and Confidence Intervals for Means
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
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 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…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
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
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman