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B what is the population mean what is the best estimate of

A manufacturer of batteries for "kids' toys" wishes to investigate the length of time a battery will last. Test results on a sample of 10 batteries indicated a sample mean of 4.67 and a sample standard deviation of 0.57.

a. Determine the mean and the standard deviation

b. What is the population mean? What is the best estimate of that value?

c. Construct a 95 percent confidence interval for the population mean.

d. Is it reasonable for the manufacturer to claim that the batteries will last 6.0 hours?

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