The mean cholesterol levels of women age 45-59 in Ghana, Nigeria, and Seychelles is 5.1 mmol/l and the standard deviation is 1.0 mmol/l. Assume that cholesterol levels are normally distributed and a random sample of 22 women are selected.

It is possible with rounding for a probability to be 0.0000.

g) Find the probability that the sample mean cholesterol level of the 22 randomly selected women age 45-59 in Ghana, Nigeria, and Seychelles is less than 5.3 mmol/l.Round final answer to 4 decimal places.

DO NOT use the rounded standard deviation from part e in this computation.

Use the EXACT value of the standard deviation with the square root.

A dishwasher has a mean lifetime of 12 years with an estimated standard deviation of 1.25 years. The lifetime of a dishwasher is normally distributed. Suppose you are a manufacturer and you take a sample of 24 dishwashers that you made.

It is possible with rounding for a probability to be 0.0000.

g) Find the probability that the sample mean lifetime of the 24 randomly selected dishwashers is less than 12.3 years.Round final answer to 4 decimal places.

DO NOT use the rounded standard deviation from part e in this computation.

Use the EXACT value of the standard deviation with the square root.

h) Find the probability that the sample mean lifetime of the 24 randomly selected dishwashers isless than11.4 years.

Round final answer to 4 decimal places.

DO NOT use the rounded standard deviation from part e in this computation.

Use the EXACT value of the standard deviation with the square root.