A randomly selected sample of 31 Hollywood movies from 2015 was used to construct a 95% confidence interval (using the standard error method) for the mean Rotten Tomato audience rating (on scale from 0 to 100) for all 2015  Hollywood movies.  That confidence interval came out to be (66 , 76).  Regarding the 95% confidence interval above: What is the sample statistic, to the nearest

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 58E: What is meant by the sample space of an experiment?
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A randomly selected sample of 31 Hollywood movies from 2015 was used to construct a 95% confidence interval (using the standard error method) for the mean Rotten Tomato audience rating (on scale from 0 to 100) for all 2015  Hollywood movies.  That confidence interval came out to be (66 , 76)

Regarding the 95% confidence interval above:

  • What is the sample statistic, to the nearest 1 decimal place?
  • What is the margin of error, to the nearest 1 decimal place?
  • What is the standard error, to the nearest 1 decimal place?

If we had used the same sample to create a 97% confidence interval using the percentile method in StatKey, generating 2500 bootstrap sample statistics and got the result (55,77), how many sample statistics, i.e., dots, would be found within the endpoints of that interval? 

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