An experiment to compare the tension bond strength of polymer latex modified mortar (Portland cement mortar to which polymer latex emulsions have been added during mixing) to that of unmodified mortar resulted in x = 18.17 kgf/cm² for the modified mortar (m = 42) and y = 16.82 kgf/cm2 for the unmodified mortar (n = 31). Let µ₁ and µ₂ be the true average tension bond strengths for the modified and unmodified mortars, respectively. Assume that the bond strength distributions are both normal. = (a) Assuming that σ₁ = 1.6 and 0₂: 1.3, test Ho: M₁ - μ₂ = 0 versus Ha: M1 - H₂> 0 at level 0.01. 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 = (b) Compute the probability of a type Il error for the test of part (a) when μ₁ - μ₂ = 1. (Round your answer to four decimal places.) (c) Suppose the investigator decided to use a level 0.05 test and wished B = 0.10 when M₁ M₂ = 1. If m = 42, what value of n is necessary? (Round your answer up to the nearest whole number.) n=
An experiment to compare the tension bond strength of polymer latex modified mortar (Portland cement mortar to which polymer latex emulsions have been added during mixing) to that of unmodified mortar resulted in x = 18.17 kgf/cm² for the modified mortar (m = 42) and y = 16.82 kgf/cm2 for the unmodified mortar (n = 31). Let µ₁ and µ₂ be the true average tension bond strengths for the modified and unmodified mortars, respectively. Assume that the bond strength distributions are both normal. = (a) Assuming that σ₁ = 1.6 and 0₂: 1.3, test Ho: M₁ - μ₂ = 0 versus Ha: M1 - H₂> 0 at level 0.01. 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 = (b) Compute the probability of a type Il error for the test of part (a) when μ₁ - μ₂ = 1. (Round your answer to four decimal places.) (c) Suppose the investigator decided to use a level 0.05 test and wished B = 0.10 when M₁ M₂ = 1. If m = 42, what value of n is necessary? (Round your answer up to the nearest whole number.) n=
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
Transcribed Image Text:An experiment to compare the
tension bond strength of polymer
latex modified mortar (Portland
cement mortar to which polymer
latex emulsions have been added
during mixing) to that of unmodified
mortar resulted in x = 18.17 kgf/cm²
for the modified mortar (m = 42) and
y = 16.82 kgf/cm² for the unmodified
mortar (n = 31). Let μ₁ and ₂ be the
true average tension bond strengths
for the modified and unmodified
mortars, respectively. Assume that
the bond strength distributions are
both normal.
(a) Assuming that 0₁ = 1.6 and 0₂ =
1.3, test Ho: M₁ M₂ = 0 versus Ha: M₁
- H₂> 0 at level 0.01.
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
=
(b) Compute the probability of a type
Il error for the test of part (a) when µ₁
- H₂ = 1. (Round your answer to four
decimal places.)
(c) Suppose the investigator decided
to use a level 0.05 test and wished B
= 0.10 when M₁ M₂ = 1. If m = 42,
what value of n is necessary? (Round
your answer up to the nearest whole
number.)
n =
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 5 steps
Recommended textbooks for you
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
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
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
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
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
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
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman