2 points DevoreStat9 7.E Consider the next 1000 95% CIs for that a statistical c

Question

2 points DevoreStat9 7.E Consider the next 1000 95% 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 u My Notes Ask Your Teacher intervals what is the probability that between 940 and 960 of these intervals contain the corresponding value of ? | Hint: Let the number among the 1000 intervals that contain what kind of random variable is Y21 (Round your answer to four decimal places.) You may need to use the appropriate table in the Appendix of Tables to answer this question. Need HelpRead It Talk to a Tutor Subrnit Answer Save Progress Practice Another Version

Explanation / Answer

5)
As per the defination of CI, 95%*1000 = 950 intervals

mean = 950
std. dev. = sqrt(1000 * 0.95 * 0.05) = 6.8920

P(940 < X < 960) = 0.8532

6)

a)

95% confident that interval contains the true population mean.

b)

CI for 95% n 45 mean 654.16 z-value of 95% CI 1.9600 std. dev. 164.89 SE = std.dev./sqrt(n) 24.58035 ME = z*SE 48.17660 Lower Limit = Mean - ME 605.98340 Upper Limit = Mean + ME 702.33660 95% CI (605.9834 , 702.3366 )

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