A mixture of pulverized fuel ash and Portland cement to be used for grouting should have a compressive strength of more than 1,300 KN/m2. The mixture w mixture is normally distributed with a 65. Let denote the true average compressive strength. (a) What are the appropriate null and alternative hypotheses? Ho: M1,300 H:-1,300 Ho: M1,300 H₂H-1,300 OHM 1,300 H: 1,300 Ho: M-1,300 H₂H< 1,300 Ho: M=1,300 H: >1,300 (b) Let X denote the sample average pressi strength for n = 13 randomly selected specimens. Consider the test procedure with test statistic X itself O The test statistic has a gamma distribution. O The test statistic has an exponential distribution. The test statistic has a normal distribution. O The test statistic has a binomial distribution.
A mixture of pulverized fuel ash and Portland cement to be used for grouting should have a compressive strength of more than 1,300 KN/m2. The mixture w mixture is normally distributed with a 65. Let denote the true average compressive strength. (a) What are the appropriate null and alternative hypotheses? Ho: M1,300 H:-1,300 Ho: M1,300 H₂H-1,300 OHM 1,300 H: 1,300 Ho: M-1,300 H₂H< 1,300 Ho: M=1,300 H: >1,300 (b) Let X denote the sample average pressi strength for n = 13 randomly selected specimens. Consider the test procedure with test statistic X itself O The test statistic has a gamma distribution. O The test statistic has an exponential distribution. The test statistic has a normal distribution. O The test statistic has a binomial distribution.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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I am unsure what I am getting wrong and would like some help please
Transcribed Image Text:A mixture of pulverized fuel ash and Portland cement to be used for grouting should have a compressive strength of more than 1,300 KN/m². The mixture will not be used unless experimental evidence indicates conclusively that the strength specification has been met. Suppose compressive strength for specimens of this
mixture is normally distributed with o = 65. Let μ denote the true average compressive strength.
(a) What are the appropriate null and alternative hypotheses?
Ho: μ> 1,300
H₂: μ = 1,300
a
Ho: μ< 1,300
H₂ μ = 1,300
Ho: M = 1,300
H₂: μ = 1,300
Ho: μ = 1,300
Ha: μ< 1,300
ⒸH₁: μ = 1,300
H₂: μ> 1,300
(b) Let X denote the sample average compressive strength for n = 13 randomly selected specimens. Consider the test procedure with test statistic X itself (not standardized). What is the probability distribution of the test statistic when Ho is true?
O The test statistic has a gamma distribution.
O The test statistic has an exponential distribution.
O The test statistic has a normal distribution.
O The test statistic has a binomial distribution.
If X = 1,340, find the P-value. (Round your answer to four decimal places.)
P-value = 0.0132
Should Ho be rejected using a significance level of 0.01?
O reject Ho
do not reject Ho
(c) What is the probability distribution of the test statistic when μ = 1,350 and n = 13?
O The test statistic has a normal distribution.
O The test statistic has a binomial distribution.
O The test statistic has a gamma distribution.
O The test statistic has an exponential distribution.
State the mean and standard deviation (in KN/m²) of the test statistic. (Round your standard deviation to three decimal places.)
mean
1350
18.027
KN/m²
XKN/m²
standard deviation
For a test with a = 0.01, what is the probability that the mixture will be judged unsatisfactory when in fact μ = 1,350 (a type II error)? (Round your answer to four decimal places.)
0.9973
X
You may need to use the appropriate table in the Appendix of Tables to answer this question.
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