If we repeat the experiment 100 times and each time we collect a random sample of size n from the population and construct a Cl. We obtain 100 different 95% CI. What is the probability that 95 of the Cls contains the true μ? What is the expected number of Cls that contains the true μ? • What is the probability that the number of Cls that contains μ is between 94 and 97?

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.4: Discrete Random Variables; Applications To Decision Making
Problem 4E
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Example 3
If we repeat the experiment 100 times and each time we collect a random
sample of size n from the population and construct a Cl. We obtain 100
different 95% CI.
1 What is the probability that 95 of the Cls contains the true ?
3
What is the expected number of Cls that contains the true μ?
What is the probability that the number of Cls that contains μ is
between 94 and 97?
Transcribed Image Text:Example 3 If we repeat the experiment 100 times and each time we collect a random sample of size n from the population and construct a Cl. We obtain 100 different 95% CI. 1 What is the probability that 95 of the Cls contains the true ? 3 What is the expected number of Cls that contains the true μ? What is the probability that the number of Cls that contains μ is between 94 and 97?
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