Homework Help is Here – Start Your Trial Now!
Math
Statistics
Consider a paint-drying situation in which drying time for a test specimen is normally distributed with o = 7. The hypotheses Ho: u = 74 and H:µ < 74 are to be tested using a random sample of n = 25 observations. (a) How many standard deviations (of X) below the null value is x = 72.3? (Round your answer to two decimal places.) 1.21 v standard deviațions (b) If x = 72.3, what is the conclusion using a = 0.005? Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to four decimal places.) z = 1.21 P-value = 0.0749 X State the conclusion in the problem context. O Reject the null hypothesis. There is sufficient evidence to conclude that the mean drying time is less than 74. O Do not reject the null hypothesis. There is sufficient evidence to conclude that the mean drying time is less than 74. O Do not reject the null hypothesis. There is not sufficient evidence to conclude that the mean drying time is less than 74. O Reject the null hypothesis. There is not sufficient evidence to conclude that the mean drying time is less than 74. (c) For the test procedure with a = 0.005, what is B(70)? (Round your answer to four decimal places.) B(70) =

Consider a paint-drying situation in which drying time for a test specimen is normally distributed with o = 7. The hypotheses Ho: u = 74 and H:µ < 74 are to be tested using a random sample of n = 25 observations. (a) How many standard deviations (of X) below the null value is x = 72.3? (Round your answer to two decimal places.) 1.21 v standard deviațions (b) If x = 72.3, what is the conclusion using a = 0.005? Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to four decimal places.) z = 1.21 P-value = 0.0749 X State the conclusion in the problem context. O Reject the null hypothesis. There is sufficient evidence to conclude that the mean drying time is less than 74. O Do not reject the null hypothesis. There is sufficient evidence to conclude that the mean drying time is less than 74. O Do not reject the null hypothesis. There is not sufficient evidence to conclude that the mean drying time is less than 74. O Reject the null hypothesis. There is not sufficient evidence to conclude that the mean drying time is less than 74. (c) For the test procedure with a = 0.005, what is B(70)? (Round your answer to four decimal places.) B(70) =

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
See similar textbooks
icon
Related questions
Topic Video
Question
Consider a paint-drying situation in which drying time for a test specimen is normally distributed with o = 7. The hypotheses Ho: u 74 and H: µ < 74 are to be tested using a random sample of n 25 observations. (a) How many standard deviations (of X) below the null value is x = 72.3? (Round your answer to two decimal places.) 1.21 standard deviations (b) If x = 72.3, what is the conclusion using a = 0.005? Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to four decimal places.) z = 1.21 P-value = 0.0749 X State the conclusion in the problem context. Reject the null hypothesis. There is sufficient evidence to conclude that the mean drying time is less than 74. Do not reject the null hypothesis. There is sufficient evidence to conclude that the mean drying time is less than 74. Do not reject the null hypothesis. There is not sufficient evidence to conclude that the mean drying time is less than 74. Reject the null hypothesis. There is not sufficient evidence to conclude that the mean drying time is less than 74. (c) For the test procedure with a = B(70) = 0.005, what is B(70)? (Round your answer to four decimal places.) (d) If the test procedure with a = 0.005 is used, what n is necessary to ensure that B(70) = 0.01? (Round your answer up to the next whole number.) n = specimens (e) If a level 0.01 test is used with n = 100, what is the probability of a type I error when u = 76? (Round your answer to four decimal places.) You may need to use the appropriate table in the Appendix of Tables to answer this question.
Transcribed Image Text:Consider a paint-drying situation in which drying time for a test specimen is normally distributed with o = 7. The hypotheses Ho: u 74 and H: µ < 74 are to be tested using a random sample of n 25 observations. (a) How many standard deviations (of X) below the null value is x = 72.3? (Round your answer to two decimal places.) 1.21 standard deviations (b) If x = 72.3, what is the conclusion using a = 0.005? Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to four decimal places.) z = 1.21 P-value = 0.0749 X State the conclusion in the problem context. Reject the null hypothesis. There is sufficient evidence to conclude that the mean drying time is less than 74. Do not reject the null hypothesis. There is sufficient evidence to conclude that the mean drying time is less than 74. Do not reject the null hypothesis. There is not sufficient evidence to conclude that the mean drying time is less than 74. Reject the null hypothesis. There is not sufficient evidence to conclude that the mean drying time is less than 74. (c) For the test procedure with a = B(70) = 0.005, what is B(70)? (Round your answer to four decimal places.) (d) If the test procedure with a = 0.005 is used, what n is necessary to ensure that B(70) = 0.01? (Round your answer up to the next whole number.) n = specimens (e) If a level 0.01 test is used with n = 100, what is the probability of a type I error when u = 76? (Round your answer to four decimal places.) You may need to use the appropriate table in the Appendix of Tables to answer this question.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps

SEE SOLUTIONCheck out a sample Q&A here
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
SEE MORE TEXTBOOKS