mixture of pulverized fuel ash and Portland cement to be used for grouting should have a compressive strength of more than 1,300 KN/m. 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 = 67. denote the true average compressive strength. (a) What are the appropriate null and alternative hypotheses? ⒸM1,300 1,300 OM 1,300 M1,300 ⒸM1,300 > 1,300 ⒸM1,300 M1,300 ⒸM-1,300 M₁ <1,300 (b) Let X denote the sample average compressive strength for n-15 randomly selected specimens. Consider the test procedure with test statistic itself (not standardized). What is the probability distribution of the test statistic when H is true? The test statistic has a gamma distribution. The test statistic has a normal distribution. O The test statistic has an exponential distribution. The test statistic has a binomial distribution tx-1,340, find the P-value. (Round your answer to four decimal places) P-value- Should H be rejected using a significance level of 0.01? Ⓒ reject Mo O do not reject Mo (c) What is the probability distribution of the test statistic when - 1,350 and n-15? 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 State the mean and standard deviation (in KN/m2) of the test statistic. (Round your standard deviation to three decimal places.) KN/m² KN/m² mean standard deviation For a test with a-0.01, what is the probability that the mixture will be judged unsatisfactory when in fact - 1,350 (a type II error)? (Round your answer to four decimal places.)
mixture of pulverized fuel ash and Portland cement to be used for grouting should have a compressive strength of more than 1,300 KN/m. 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 = 67. denote the true average compressive strength. (a) What are the appropriate null and alternative hypotheses? ⒸM1,300 1,300 OM 1,300 M1,300 ⒸM1,300 > 1,300 ⒸM1,300 M1,300 ⒸM-1,300 M₁ <1,300 (b) Let X denote the sample average compressive strength for n-15 randomly selected specimens. Consider the test procedure with test statistic itself (not standardized). What is the probability distribution of the test statistic when H is true? The test statistic has a gamma distribution. The test statistic has a normal distribution. O The test statistic has an exponential distribution. The test statistic has a binomial distribution tx-1,340, find the P-value. (Round your answer to four decimal places) P-value- Should H be rejected using a significance level of 0.01? Ⓒ reject Mo O do not reject Mo (c) What is the probability distribution of the test statistic when - 1,350 and n-15? 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 State the mean and standard deviation (in KN/m2) of the test statistic. (Round your standard deviation to three decimal places.) KN/m² KN/m² mean standard deviation For a test with a-0.01, what is the probability that the mixture will be judged unsatisfactory when in fact - 1,350 (a type II error)? (Round your answer to four decimal places.)
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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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 = 67. Let u
denote the true average compressive strength.
(a) What are the appropriate null and alternative hypotheses?
ⒸHO: μ> 1,300
Ha: M= 1,300
O Ho: M1,300
Ha: M= 1,300
Ho: M1,300
H₂M 1,300
O Ho: M1,300
Hai 11,300
OHM 1,300
HM 1,300
(b) Let X denote the sample average compressive strength for n = 15 randomly selected specimens. Consider the test procedure with test statistic X itself (not standardized). What is the probability distribution of the test statistic when H is true?
O The test statistic has a gamma distribution.
O The test statistic has a normal distribution.
O The test statistic has an exponential 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=
Should H, be rejected using a significance level of 0.01?
O reject Ho
O do not reject Ho
(c) What is the probability distribution of the test statistic when = 1,350 and n = 15?
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.
State the mean and standard deviation (in KN/m2) of the test statistic. (Round your standard deviation to three decimal places.)
1kN/m²
KN/m²
mean
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.)
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