a. A sample of 40 observations is selected from a normal population where the population standard deviation is 25. The sample mean is 75.

Determine the standard error of the mean.

b. A sample of 40 observations is selected from a normal population where the population standard deviation is 25. The sample mean is 75.

Determine the 90 percent confidence interval for the population mean.

c.A sample of 25 observations is selected from a normal population where the sample standard deviation is 4.75. The sample mean is 16.85.

Determine the 98 percent confidence interval for the population mean.

d. The Sugar Producers Association wants to estimate the mean yearly sugar consumption. A sample of 16 people reveals the mean yearly consumption to be 27kg with a standard deviation of 9kg. Assume a normal population.

Develop a 90 percent confidence interval for the population mean.

e. Seventy-three percent of the 500 students surveyed voted in favour of the new breakfast menu in the college cafeteria. Determine a 95 percent confidence interval for the population proportion of those college students who would prefer the new menu.