Question

E) Suppose that males between the ages of 40 and 49 eat on average 104.7 g of fat every day with a standard deviation of 4.43 g. The amount of fat a person eats is not normally distributed but it is relatively mound shaped.

Find the probability that a sample mean amount of daily fat intake for 38 men age 40-59 is more than 98 g. Round to four decimal places.

P(x̄ > 98) =

Find the probability that a sample mean amount of daily fat intake for 38 men age 40-59 in the U.S. is less than 94 g. Round to four decimal places.

P(x̄ < 94)= F)

C)Suppose the mean cholesterol levels of women age 45-59 is 5.4 mmol/l and the standard deviation is 1 mmol/l. Assume that cholesterol levels are normally distributed.

Find the probability that a woman age 45-59 has a cholesterol level above 6 mmol/l (considered a high level). Round to four decimal places.

P(x > 6) =

Suppose doctors decide to test the woman’s cholesterol level again and average the two values.

Find the probability that this woman’s mean cholesterol level for the two tests is above 6 mmol/l. Round to four decimal places.

P(x̄ > 6) =

Suppose doctors being very conservative decide to test the woman’s cholesterol level a third time and average the three values. Find the probability that this woman’s mean cholesterol level for the three tests is above 6 mmol/l. Round to four decimal places.

P(x̄ > 6) = g)

Suppose the mean cholesterol levels of women age 45-59 is 5.4 mmol/l and the standard deviation is 1 mmol/l. Assume that cholesterol levels are normally distributed. Find the probability that a woman age 45-59 has a cholesterol level above 6 mmol/l (considered a high level). Round to four decimal places.

P(x > 6) =

Suppose doctors decide to test the woman’s cholesterol level again and average the two values. Find the probability that this woman’s mean cholesterol level for the two tests is above 6 mmol/l. Round to four decimal places.

P(x̄ > 6) =

Suppose doctors being very conservative decide to test the woman’s cholesterol level a third time and average the three values. Find the probability that this woman’s mean cholesterol level for the three tests is above 6 mmol/l. Round to four decimal places.

P(x̄ > 6) =

Answer 1