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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

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

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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(c) What is the probability distribution of the test statistic when u = 1,350 and n = 11? The test statistic has an exponential distribution. The test statistic has a binomial distribution. The test statistic has a normal distribution. The test statistic has a gamma distribution. State the mean and standard deviation (in KN/m2) of the test statistic. (Round your standard deviation to three decimal places.) 1350 KN/m2 mean standard deviation 18.995 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.) .0042
Transcribed Image Text:(c) What is the probability distribution of the test statistic when u = 1,350 and n = 11? The test statistic has an exponential distribution. The test statistic has a binomial distribution. The test statistic has a normal distribution. The test statistic has a gamma distribution. State the mean and standard deviation (in KN/m2) of the test statistic. (Round your standard deviation to three decimal places.) 1350 KN/m2 mean standard deviation 18.995 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.) .0042
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 = 63. Let u denote the true average compressive strength. (a) What are the appropriate null and alternative hypotheses? Ho: 4 > 1,300 На: и — 1,300 Ho: H = 1,300 На: и> 1,300 Но: и < 1,300 Ha: u = 1,300 Ho: u = 1,300 H: u + 1,300 Ho: H = 1,300 H: µ < 1,300 a (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? The test statistic has a gamma distribution. The test statistic has a binomial distribution. The test statistic has an exponential distribution. The test statistic has a normal distribution. If X 1,340, find the P-value. (Round your answer to four decimal places.) P-value = .0176 Should be rejected using a significance level of 0.01? Но reject H. do not reject H.
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 = 63. Let u denote the true average compressive strength. (a) What are the appropriate null and alternative hypotheses? Ho: 4 > 1,300 На: и — 1,300 Ho: H = 1,300 На: и> 1,300 Но: и < 1,300 Ha: u = 1,300 Ho: u = 1,300 H: u + 1,300 Ho: H = 1,300 H: µ < 1,300 a (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? The test statistic has a gamma distribution. The test statistic has a binomial distribution. The test statistic has an exponential distribution. The test statistic has a normal distribution. If X 1,340, find the P-value. (Round your answer to four decimal places.) P-value = .0176 Should be rejected using a significance level of 0.01? Но reject H. do not reject H.
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