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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/m". The mixture will not be used unless experimental evidence indicates condusively that the strength specification has been met. Suppose compressive strength for specimens of this mixture is normally distributed with 65. Let denote the trve average compressive strength. (4) What are the appropriate null and aternative hypotheses? OH 1300 H 1.300 OH 1300 R1300 H 1,300 " 1,300 "1300 O 1300 (D) Let denote the sample averege compressive strength for n 11 randomly selected specimens. Consider the test procedure with test stttic ser (not standardced, Whuc is the probabilty distribution of the test statistic when H. is true O The test statistk has a normal distribution, O The test statisti has a tinomial dstritution O The test statistic has a gamma distribution. O The test statistk has an exponential dstriution. 1310, Srd the Pyale, (Round your answer to four decimal places.) Dvalue- 0 Should M be rejected usinga significance level of 0.017 O reject Mg do not reject , () What is the probabiity distribution of the test statistic when a,350 and n 117 O The test statistic has a gamma distribution. O The test statistic has an exponential distribution. The test statistic has a normal distritution. O The test statistic has a binomial distribution. State the mean and standard deviation (in KNm) of the test statistic. (Round your standard deviation to three decimal places.) mean standard deviation for a test with a 0.01, what is the probability that the mixture will be judged unsatistactory when in fact 1,350 (a type error) (Round your answer to fuur decimal places.)

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/m". The mixture will not be used unless experimental evidence indicates condusively that the strength specification has been met. Suppose compressive strength for specimens of this mixture is normally distributed with 65. Let denote the trve average compressive strength. (4) What are the appropriate null and aternative hypotheses? OH 1300 H 1.300 OH 1300 R1300 H 1,300 " 1,300 "1300 O 1300 (D) Let denote the sample averege compressive strength for n 11 randomly selected specimens. Consider the test procedure with test stttic ser (not standardced, Whuc is the probabilty distribution of the test statistic when H. is true O The test statistk has a normal distribution, O The test statisti has a tinomial dstritution O The test statistic has a gamma distribution. O The test statistk has an exponential dstriution. 1310, Srd the Pyale, (Round your answer to four decimal places.) Dvalue- 0 Should M be rejected usinga significance level of 0.017 O reject Mg do not reject , () What is the probabiity distribution of the test statistic when a,350 and n 117 O The test statistic has a gamma distribution. O The test statistic has an exponential distribution. The test statistic has a normal distritution. O The test statistic has a binomial distribution. State the mean and standard deviation (in KNm) of the test statistic. (Round your standard deviation to three decimal places.) mean standard deviation for a test with a 0.01, what is the probability that the mixture will be judged unsatistactory when in fact 1,350 (a type error) (Round your answer to fuur decimal places.)

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
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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/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 o= 65. Let u denote the true average compressive strength. (a) What are the appropriate null and alternative hypotheses? H:H= 1,300 H:H= 1,300 Ho: H > 1,300 H:H= 1,300 O Hg: H = 1,300 H: H > 1,300 O Hg: H< 1,300 H H = 1,300 O Ho: H = 1,300 H: H < 1,300 (b) Let X denote the sample average compressive strength for n = 11 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 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. Ir X = 1,340, find the P-value. (Round your answer four decimal places.) P-value = 0.0207 Should H, be rejected using a significance level of 0.01? O reject Ha • do not reject H. (c) What is the probability distribution of the test statistic when u = 1.350 and n = 117 The test statistic has a gamma distribution. 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/m-) of the test statistic. (Round your standard deviation to three decimal places.) 1350 V KN/m? mean standard deviation 19.598 v KN/m2 For a test with a = 0.01, what is the probability that the mixture will be judged unsatisfactory when in fact u = 1,350 (a type II error)? (Round your answer to four decimal places.) 0.4129
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/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 o= 65. Let u denote the true average compressive strength. (a) What are the appropriate null and alternative hypotheses? H:H= 1,300 H:H= 1,300 Ho: H > 1,300 H:H= 1,300 O Hg: H = 1,300 H: H > 1,300 O Hg: H< 1,300 H H = 1,300 O Ho: H = 1,300 H: H < 1,300 (b) Let X denote the sample average compressive strength for n = 11 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 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. Ir X = 1,340, find the P-value. (Round your answer four decimal places.) P-value = 0.0207 Should H, be rejected using a significance level of 0.01? O reject Ha • do not reject H. (c) What is the probability distribution of the test statistic when u = 1.350 and n = 117 The test statistic has a gamma distribution. 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/m-) of the test statistic. (Round your standard deviation to three decimal places.) 1350 V KN/m? mean standard deviation 19.598 v KN/m2 For a test with a = 0.01, what is the probability that the mixture will be judged unsatisfactory when in fact u = 1,350 (a type II error)? (Round your answer to four decimal places.) 0.4129
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