MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
Bartleby Related Questions Icon

Related questions

Question
100%

This question is gving me diffculty 

To obtain information on the corrosion-resistance properties of a certain type of steel conduit, 45 specimens are buried in soil for a 2-year period. The maximum penetration (in mils) for each specimen is then measured, yielding
a sample average penetration of x = 53.4 and a sample standard deviation of s=4.8. The conduits were manufactured with the specification that true average penetration be at most 50 mils. They will be used unless it can be
demonstrated conclusively that the specification has not been met. What would you conclude? (Use a = 0.05.)
State the appropriate null and alternative hypotheses.
O Ho: μ # 50
H₂:μ > 50
Ọ Ho: I = 50
H₂:μ > 50
O Ho: μ = 50
Ha: μ # 50
O Ho: μ > 50
H₂: μ = 50
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 =
P-value =
State the conclusion in the problem context.
O Do not reject the null hypothesis. There is sufficient evidence to conclude that the true average penetration is more than 50 mils.
Reject the null hypothesis. There is sufficient evidence to conclude that the true average penetration is more than 50 mils.
O Reject the null hypothesis. There is not sufficient evidence to conclude that the true average penetration is more than 50 mils.
O Do not reject the null hypothesis. There is not sufficient evidence to conclude that the true average penetration is more than 50 mils.
You may need to use the appropriate table in the Appendix of Tables to answer this question.
expand button
Transcribed Image Text:To obtain information on the corrosion-resistance properties of a certain type of steel conduit, 45 specimens are buried in soil for a 2-year period. The maximum penetration (in mils) for each specimen is then measured, yielding a sample average penetration of x = 53.4 and a sample standard deviation of s=4.8. The conduits were manufactured with the specification that true average penetration be at most 50 mils. They will be used unless it can be demonstrated conclusively that the specification has not been met. What would you conclude? (Use a = 0.05.) State the appropriate null and alternative hypotheses. O Ho: μ # 50 H₂:μ > 50 Ọ Ho: I = 50 H₂:μ > 50 O Ho: μ = 50 Ha: μ # 50 O Ho: μ > 50 H₂: μ = 50 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 = P-value = State the conclusion in the problem context. O Do not reject the null hypothesis. There is sufficient evidence to conclude that the true average penetration is more than 50 mils. Reject the null hypothesis. There is sufficient evidence to conclude that the true average penetration is more than 50 mils. O Reject the null hypothesis. There is not sufficient evidence to conclude that the true average penetration is more than 50 mils. O Do not reject the null hypothesis. There is not sufficient evidence to conclude that the true average penetration is more than 50 mils. You may need to use the appropriate table in the Appendix of Tables to answer this question.
Expert Solution
Check Mark
Knowledge Booster
Background pattern image
Recommended textbooks for you
Text book image
MATLAB: An Introduction with Applications
Statistics
ISBN:9781119256830
Author:Amos Gilat
Publisher:John Wiley & Sons Inc
Text book image
Probability and Statistics for Engineering and th...
Statistics
ISBN:9781305251809
Author:Jay L. Devore
Publisher:Cengage Learning
Text book image
Statistics for The Behavioral Sciences (MindTap C...
Statistics
ISBN:9781305504912
Author:Frederick J Gravetter, Larry B. Wallnau
Publisher:Cengage Learning
Text book image
Elementary Statistics: Picturing the World (7th E...
Statistics
ISBN:9780134683416
Author:Ron Larson, Betsy Farber
Publisher:PEARSON
Text book image
The Basic Practice of Statistics
Statistics
ISBN:9781319042578
Author:David S. Moore, William I. Notz, Michael A. Fligner
Publisher:W. H. Freeman
Text book image
Introduction to the Practice of Statistics
Statistics
ISBN:9781319013387
Author:David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:W. H. Freeman