Question: 5. (2 + 2 = 4 marks) Assume that the amount of a substance produced daily on a chemical plant is a normally distributed random

5. (2 + 2 = 4 marks) Assume that the amount of a substance produced daily on a chemical plant is a normally distributed random wvariable with the mean Ll , population variance 'l, and population standard deviation T, For a random sample of 5 daily amounts of substance (in kg) produced on a chemical plant, the sample mean was found to be 90 kg, and sample standard deviation was found to be 1.58 kg. a. Find 99% confidence interval for the population mean L1, Keep two digits after decimal point in the answer. Show your work in finding 99% confidence interval for the population mean. 99% confidence interval for the population mean is ( . ) b. Find a 99% confidence interval for the population variance le Keep two digits after decimal point in the answer. Show your work in finding 99% confidence interval for population variance. 99% confidence interval for the population variance is

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