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i.What is the difference between point estimation and interval estimation? (2 Marks)
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. (5
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 (4
b)99% confidence limit to the actual diameter. (4