A) The mean and SD of diameters of a random sample of 9 ball bearings are 2mm and 1.25 mm respectively. The population of diameters of all ball bearings is normally distributed. Obtain the 95% confidence interval for the mean diameter of the population.

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A) The mean and SD of diameters of a random sample of 9 ball bearings are 2mm and 1.25 mm respectively. The population of diameters of
all ball bearings is normally distributed. Obtain the 95% confidence interval for the mean diameter of the population,
B) An investigator wants to ascertain the mean time to complete a certain task given to all workers of a plant by taking a raudom sample so
that the maximum difference between sample mean and population mean is 2 days with a probability of 0.95 and the standard deviation of the
population as 10.5 days. How large should be the size of the sample in this case?
Transcribed Image Text:76026 A) The mean and SD of diameters of a random sample of 9 ball bearings are 2mm and 1.25 mm respectively. The population of diameters of all ball bearings is normally distributed. Obtain the 95% confidence interval for the mean diameter of the population, B) An investigator wants to ascertain the mean time to complete a certain task given to all workers of a plant by taking a raudom sample so that the maximum difference between sample mean and population mean is 2 days with a probability of 0.95 and the standard deviation of the population as 10.5 days. How large should be the size of the sample in this case?
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