1. Lumber companies dry freshly cut boards in kilns before selling them. As a result of the drying process, a certain percentage of the boards crack. The current drying procedure is known to produce cracks in 16% of the boards. The drying supervisor wants to test a new method to determine if fewer boards will crack. (a) State appropriate hypotheses for a significance test in this setting. To investigate, he selected an SRS of 50 boards, dried them using the new method, and found 5 that cracked (p =5/50 =0.10). To detemine if these data provide convincing evidence that less than 16% of the boards will crack when using the new method, 100 trials of a simulation were conducted. Each dot in the graph below shows the proportion of boards that cracked in a random sample of 50 boards, assuming that each board has a 16% chance of cracking. 0.05 0.15 02 0.25 0.1 Simukated sample proportion of boards that cracked (b) Use the simulation results to estimate the P-value of the test. (c) Interpret the P-value. (d) What conclusion would you make using a=0.05?

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
1. Lumber companies dry freshly cut boards in kilns before selling them. As a result of the drying process, a
certain percentage of the boards crack. The current drying procedure is known to produce cracks in 16% of
the boards. The drying supervisor wants to test a new method to determine if fewer boards will crack.
(a) State appropriate hypotheses for a significance test in this setting.
To investigate, he selected an SRS of 50 boards, dried them using the new method, and found 5 that cracked
(p =5/50 =0.10). To detemine if these data provide convincing evidence that less than 16% of the boards
will crack when using the new method, 100 trials of a simulation were conducted. Each dot in the graph below
shows the proportion of boards that cracked in a random sample of 50 boards, assuming that each board has a
16% chance of cracking.
0.05
0.15 02 0.25
0.1
Simukated sample proportion of
boards that cracked
(b) Use the simulation results to estimate the P-value of the test.
(c) Interpret the P-value.
(d) What conclusion would you make using a=0.05?
Transcribed Image Text:1. Lumber companies dry freshly cut boards in kilns before selling them. As a result of the drying process, a certain percentage of the boards crack. The current drying procedure is known to produce cracks in 16% of the boards. The drying supervisor wants to test a new method to determine if fewer boards will crack. (a) State appropriate hypotheses for a significance test in this setting. To investigate, he selected an SRS of 50 boards, dried them using the new method, and found 5 that cracked (p =5/50 =0.10). To detemine if these data provide convincing evidence that less than 16% of the boards will crack when using the new method, 100 trials of a simulation were conducted. Each dot in the graph below shows the proportion of boards that cracked in a random sample of 50 boards, assuming that each board has a 16% chance of cracking. 0.05 0.15 02 0.25 0.1 Simukated sample proportion of boards that cracked (b) Use the simulation results to estimate the P-value of the test. (c) Interpret the P-value. (d) What conclusion would you make using a=0.05?
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
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