Determine a confidence interval for the population mean

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Assignment: Statistic Questions

QUESTION ONE

i. What is the difference between point estimation and interval estimation?

ii. A sample of 8 observations has been taken from a population in which the random variable is normally distributed. The sample mean is 25 and the sample standard deviation is 5. Determine a 95% confidence interval for the population mean.

iii. The mean life of a sample of 200 light tubes produced by a company is found to be 3160 hours with a standard deviation of 180 hours. Test the hypothesis that the mean lifetime of the tubes by the company is 3200 hours.

iv. A sample of 20 measurements of the diameter of a sphere gave a mean 4.38 inches and standard deviation of 0.06 inches find

a)95% confidence limit to the actual diameter
b)99% confidence limit to the actual diameter.

Reference no: EM131566795

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