Audio cassette tapes of a particular brand are claimed by the manufacturer to give, on average, at least 60 minutes of playing time. After receiving some complaints, the manufacturer’s quality control manager obtains a random sample of 64 tapes and measures the playing time, ? minutes, of each. The results are summarized by ∑ ? = 3953.28 and ∑ ?² = 244,557.00 (a) Construct a symmetric 99% confidence interval for the population mean playing time of the brand of tape. 2 (b) Does the confidence interval support the customer’s complaints? Give a reason for your answer.
Audio cassette tapes of a particular brand are claimed by the manufacturer to give, on average, at least 60 minutes of playing time. After receiving some complaints, the manufacturer’s quality control manager obtains a random sample of 64 tapes and measures the playing time, ? minutes, of each. The results are summarized by ∑ ? = 3953.28 and ∑ ?² = 244,557.00 (a) Construct a symmetric 99% confidence interval for the population mean playing time of the brand of tape. 2 (b) Does the confidence interval support the customer’s complaints? Give a reason for your answer.
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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Question
Audio cassette tapes of a particular brand are claimed by the manufacturer to give, on
average, at least 60 minutes of playing time. After receiving some complaints, the
manufacturer’s quality control manager obtains a random sample of 64 tapes and measures
the playing time, ? minutes, of each. The results are summarized by
∑ ? = 3953.28 and ∑ ?² = 244,557.00
(a) Construct a symmetric 99% confidence interval for the population
the brand of tape.
2
(b) Does the confidence interval support the customer’s complaints? Give a reason for your
answer.
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