(a) Do the data provide evidence that high temperature increases the hardness of 5% copper alloys, on average? What is the distribution of the test statistic under the null hypothesis and the exact p-value? O t-distribution with df = 18; p-value = 0.0862 O t-distribution with df = 9; p-value = 0.00712 O t-distribution with df = 9; p-value = 0.00356 O t-distribution with df = 18; p-value = 0.9569 O t-distribution with df = 18; p-value = 0.0431 (b) What is the BEST CORRESPONDING 95% confidence interval or bound for Hd, where d = xH5 - XH5HT?

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
Question
Titanium alloys have very high hardness. Adding small amounts of copper tends to improve their properties, such as
hardness. In order to evaluate the effect of copper addition on hardness of titanium alloys, 10 random casts with 5%
copper were made in an argon-arc melting furnace. The Rockwell hardness was determined for each of the casts. Then,
the casts were subjected to high temperature (HT) and hardness was determined again in the second row. Assume
hardness follows a normal distribution. Use the data below to answer the next three questions.
248 246 245 251 248 250 247 246 243 244
HARD5
HARD5HT 250 247 246 251 251 253 248 246 249 247
(a) Do the data provide evidence that high temperature increases the hardness of 5% copper alloys, on average? What is
the distribution of the test statistic under the null hypothesis and the exact p-value?
O t-distribution with df = 18; p-value = 0.0862
O t-distribution with df = 9; p-value = 0.00712
O t-distribution with df = 9; p-value = 0.00356
O t-distribution with df = 18; p-value = 0.9569
O t-distribution with df = 18; p-value = 0.0431
(b) What is the BEST CORRESPONDING 95% confidence interval or bound for Hd, where d = xH5 - XH5HT?
О (3.306, о0)
O (-3.306, -0.694)
O (-00, -0.942)
O (-3.058, ∞)
О (00, -0.694)
Transcribed Image Text:Titanium alloys have very high hardness. Adding small amounts of copper tends to improve their properties, such as hardness. In order to evaluate the effect of copper addition on hardness of titanium alloys, 10 random casts with 5% copper were made in an argon-arc melting furnace. The Rockwell hardness was determined for each of the casts. Then, the casts were subjected to high temperature (HT) and hardness was determined again in the second row. Assume hardness follows a normal distribution. Use the data below to answer the next three questions. 248 246 245 251 248 250 247 246 243 244 HARD5 HARD5HT 250 247 246 251 251 253 248 246 249 247 (a) Do the data provide evidence that high temperature increases the hardness of 5% copper alloys, on average? What is the distribution of the test statistic under the null hypothesis and the exact p-value? O t-distribution with df = 18; p-value = 0.0862 O t-distribution with df = 9; p-value = 0.00712 O t-distribution with df = 9; p-value = 0.00356 O t-distribution with df = 18; p-value = 0.9569 O t-distribution with df = 18; p-value = 0.0431 (b) What is the BEST CORRESPONDING 95% confidence interval or bound for Hd, where d = xH5 - XH5HT? О (3.306, о0) O (-3.306, -0.694) O (-00, -0.942) O (-3.058, ∞) О (00, -0.694)
Expert Solution
steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Similar questions
  • SEE MORE 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