Question

3. In an air pollution study, an experimental station obtained a mean of 2.36 micrograms per cubic meter of suspended benzene-soluble organic matter per cubic meter with a standard deviation of 0.48 micrograms per cubic meter from 10 random samples. a) Construct a 99% confidence interval for the mean of the population. (5 marks) b) What sample size will reduce the margin of error to 0.03? (2 marks) c) Construct a 95% confidence interval for the mean of the population. What will be the effect on the margin of error and the confidence interval width if the confidence level reduced to 95%? (7 marks) A random sample of 50 cans of peach halves has a mean weight of 16.1 oz. and a variance of 0.16 oz., construct a 90% confidence interval for the true population (5 marks)