4. 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, t minutes, of each. The results are summarized by Et = 3953.28 and Et² = 244,557.00 (a) Construct a symmetric 99% confidence interval for the population mean playing time of the brand of tape. (b) Does the confidence interval support the customer's complaints? Give a reason for your answer.

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Average

In mathematics, everyone must have heard the term average in one place or other. Almost all types of calculation require taking out an average. In everyday life, the term is used for denoting a certain amount that can be said to be a typical quantity for multiple people or objects. In other words, if a group of people possesses a certain object, then the average gives us an idea regarding the quantity of the object possessed by each person. However, this is solely based on mathematical calculation. It is important to note that most people will not strictly have the average value in a group.