1. An experiment will be performed to test for differences between the means of five different treatments (A-E). a. How many pairs of two-sample tests are required? Enumerate them. b. The probability of a test returning a correct result is 95% (i.e. the probability of an error is 5%). What is the probability that all of the two-sample tests will return the correct results? What is the probability of one or more errors? c. What error rate for individual tests is required so that the overall error rate for all of the tests is just 5%?

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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1. An experiment will be performed to test for differences between the means of five different treatments
(A-E).
a. How many pairs of two-sample tests are required? Enumerate them.
b. The probability of a test returning a correct result is 95% (i.e. the probability of an error is 5%).
What is the probability that all of the two-sample tests will return the correct results? What is the
probability of one or more errors?
c. What error rate for individual tests is required so that the overall error rate for all of the tests is just
5%?
Transcribed Image Text:1. An experiment will be performed to test for differences between the means of five different treatments (A-E). a. How many pairs of two-sample tests are required? Enumerate them. b. The probability of a test returning a correct result is 95% (i.e. the probability of an error is 5%). What is the probability that all of the two-sample tests will return the correct results? What is the probability of one or more errors? c. What error rate for individual tests is required so that the overall error rate for all of the tests is just 5%?
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