7.A random sample of 49 observations is drawn from a population with a normal distribution. If...

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7.A random sample of 49 observations is drawn from a populationwith a normal distribution. If the sample mean is 265 and thesample standard deviation is 57, find the 95% confidence intervalfor the population mean.
8. A random sample of 49 observations is drawn from a populationwith a normal distribution with a standard deviation of 57. If thesample mean is 265, find the 95% confidence interval for thepopulation mean. Compare this confidence interval with the onefound in question 7. Finally, find the 99% confidence interval forthe population mean. How does this compare to the 95% confidenceinterval?

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Solution7Given that 265 Sample means 57 Sample standard deviationn 49 Sample sizeNote that Population standard deviationis unknownSo we use t distribution Our aim is to construct 95confidence intervalc 095 1 c 1 095 0052 005 2 0025Also n 49df n1 48 2011 use t table or t calculator to find this valueNow See Answer

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