The accompanying data in the table below were derived from life tests for two different brands of cutting tools. Complete parts a through e. H Click the icon to view the data table of cutting speed and useful life. | A Click the icon to view the table of critical values of t. a. Use a 00% confidence interval to estimate the mean useful life of a brand A cutting tool when the cutting speed is 45 meters per minute. Repeat for brand B. Compare the widths of the two intervals and comment on the reasons for any difference. The mean useful life of a brand A cutting tool when the cutting speed is 45 meters per minute is toOhours. (Round to one decimal place as needed.) Data Table The mean useful life of a brand B cutting tool when the cutting speed is 45 meters per minute is toOhours. (Round to one decimal place as needed.) Compare the widths of the two intervals and comment on the reasons for any difference. Choose the correct answer below. Cutting Speed (meters per minute) 30 30 Useful Life (Hours) O A Brand Ais wider than brand B. The value of y is different for the two intervals. OB. Brand B is wider than brand A The value of 2 is different for the two intervals. Brand A Brand B 4.1 3.5 5.7 6.1 OC. Brand A is wider than brand B. The estimated standard error of y is different for the two intervals. OD. There is no difference in the widths of the two intervals. 20 5.1 5.1 40 4.0 5.5 40 3.0 2.5 4.8 40 50 50 50 00 00 00 70 70 70 5.0 b. Use a 00% prediction interval to predict the useful life of a brand A cutting tool when the cutting speed is 45 meters per minute. Repeat for brand B. Compare the widths of the two inte 4.4 4.5 The predicted useful life of a brand A cutting tool when the speed is 45 meters per minute is O toO hours. (Round to one decimal place as needed.) 2.8 1.0 4.0 4.0 3.7 3.8 3.0 2.0 The predicted useful life of a brand B cutting tool when the speed is 45 meters per minute is toO hours. 1.1 2.4 (Round to one decimal place as needed.) 1.1 0.5 3.0 1.5 2.0 1.0 Compare the widths of the two intervals to each other. Choose the correct answer below. O A The prediction interval for brand Bis larger than the prediction interval for brand A because the value of y is different for the two intervals. OB. The prediction interval for brand A is larger than the prediction interval for brand B because the estimated standard error of y is different for the two intervals. OC. The prediction intervals are the same size Print Done

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 accompanying data in the table below were derived from life tests for two different brands of cutting tools. Complete parts a through c.
E Click the icon to view the data table of cutting speed and useful life.
E Click the icon to view the table of critical values of t.
a. Use a 90% confidence interval to estimate the mean useful life of a brand A cutting tool when the cutting speed is 45 meters per minute. Repeat for brand B. Compare the widths of the two intervals and comment on the reasons for any difference.
The mean useful life of a brand A cutting tool when the cutting speed is 45 meters per minute is to hours.
(Round to one decimal place as needed.)
The mean useful life of a brand B cutting tool when the cutting speed is 45 meters per minute is to hours.
Data Table
(Round to one decimal place as needed.)
Compare the widths of the two intervals and comment on the reasons for any difference. Choose the correct answer below.
Useful Life (Hours)
Cutting Speed
(meters per
minute)
O A
Brand A is wider than brand B. The value of y is different for the two intervals.
Brand A
Brand B
O B. Brand B is wider than brand A. The value of t/2 is different for the two intervals
30
4.1
5.7
30
3.5
6.1
OC. Brand A is wider than brand B. The estimated standard error of y is different for the two intervals.
30
5.1
5.1
40
4.9
5.5
O D. There is no difference in the widths of the two intervals.
40
3.6
4.8
40
2.5
5.0
b. Use a 90% prediction interval to predict the useful life of a brand A cutting tool when the cutting speed is 45 meters per minute. Repeat for brand B. Compare the widths of the two inte
ference.
50
4.4
4.5
50
2.8
4.0
The predicted useful life of a brand A cutting tool when the speed is 45 meters per minute is to hours.
50
1.0
3.7
(Round to one decimal place as needed.)
60
4.0
3.8
60
2.0
3.0
to hours.
The predicted useful life of a brand B cutting tool when the speed is 45 meters per minute is
(Round to one decimal place as needed.)
60
1.1
2.4
70
1.1
1.5
70
0.5
2.0
Compare the widths of the two intervals to each other. Choose the correct answer below.
70
3.0
1.0
A.
O A. The prediction interval for brand B is larger than the prediction interval for brand A because the value of y is different for the two intervals.
O B. The prediction interval for brand A is larger than the prediction interval for brand B because the estimated standard error of y is different for the two intervals
Print
Done
O C. The prediction intervals are the same size.
Transcribed Image Text:The accompanying data in the table below were derived from life tests for two different brands of cutting tools. Complete parts a through c. E Click the icon to view the data table of cutting speed and useful life. E Click the icon to view the table of critical values of t. a. Use a 90% confidence interval to estimate the mean useful life of a brand A cutting tool when the cutting speed is 45 meters per minute. Repeat for brand B. Compare the widths of the two intervals and comment on the reasons for any difference. The mean useful life of a brand A cutting tool when the cutting speed is 45 meters per minute is to hours. (Round to one decimal place as needed.) The mean useful life of a brand B cutting tool when the cutting speed is 45 meters per minute is to hours. Data Table (Round to one decimal place as needed.) Compare the widths of the two intervals and comment on the reasons for any difference. Choose the correct answer below. Useful Life (Hours) Cutting Speed (meters per minute) O A Brand A is wider than brand B. The value of y is different for the two intervals. Brand A Brand B O B. Brand B is wider than brand A. The value of t/2 is different for the two intervals 30 4.1 5.7 30 3.5 6.1 OC. Brand A is wider than brand B. The estimated standard error of y is different for the two intervals. 30 5.1 5.1 40 4.9 5.5 O D. There is no difference in the widths of the two intervals. 40 3.6 4.8 40 2.5 5.0 b. Use a 90% prediction interval to predict the useful life of a brand A cutting tool when the cutting speed is 45 meters per minute. Repeat for brand B. Compare the widths of the two inte ference. 50 4.4 4.5 50 2.8 4.0 The predicted useful life of a brand A cutting tool when the speed is 45 meters per minute is to hours. 50 1.0 3.7 (Round to one decimal place as needed.) 60 4.0 3.8 60 2.0 3.0 to hours. The predicted useful life of a brand B cutting tool when the speed is 45 meters per minute is (Round to one decimal place as needed.) 60 1.1 2.4 70 1.1 1.5 70 0.5 2.0 Compare the widths of the two intervals to each other. Choose the correct answer below. 70 3.0 1.0 A. O A. The prediction interval for brand B is larger than the prediction interval for brand A because the value of y is different for the two intervals. O B. The prediction interval for brand A is larger than the prediction interval for brand B because the estimated standard error of y is different for the two intervals Print Done O C. The prediction intervals are the same size.
Expert Solution
trending now

Trending now

This is a popular 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.
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