Consider the next 1000 98% CIs for u that a statistical consultant will obtain for various clients. Suppose the data sets on which the intervals are based are selected independently of one another. How many of these 1000 intervals do you expect to capture the corresponding value of μ? USE SALT 980 ✔intervals What is the probability that between 970 and 990 of these intervals contain the corresponding value of u? [Hint: Let Y= the number among the 1000 intervals that contain μ. What kind of random variable is Y?] (Use the normal approximation to the binomial distribution. Round your answer to four decimal places.) 0.1310 You may need to use the appropriate table in the Appendix of Tables to answer this question.

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.
Chapter13: Probability And Calculus
Section13.CR: Chapter 13 Review
Problem 8CR
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GLA2.3 Q1

Consider the next 1000 98% CIs for that a statistical consultant will obtain for various clients. Suppose the data sets on which the intervals are based are selected independently of one another. How many of
these 1000 intervals do you expect to capture the corresponding value of μ?
USE SALT
980
intervals.
What is the probability that between 970 and 990 of these intervals contain the corresponding value of u? [Hint: Let Y = the number among the 1000 intervals that contain μ. What kind of random variable is Y?]
(Use the normal approximation to the binomial distribution. Round your answer to four decimal places.)
0.1310
X
You may need to use the appropriate table in the Appendix of Tables to answer this question.
Transcribed Image Text:Consider the next 1000 98% CIs for that a statistical consultant will obtain for various clients. Suppose the data sets on which the intervals are based are selected independently of one another. How many of these 1000 intervals do you expect to capture the corresponding value of μ? USE SALT 980 intervals. What is the probability that between 970 and 990 of these intervals contain the corresponding value of u? [Hint: Let Y = the number among the 1000 intervals that contain μ. What kind of random variable is Y?] (Use the normal approximation to the binomial distribution. Round your answer to four decimal places.) 0.1310 X You may need to use the appropriate table in the Appendix of Tables to answer this question.
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