Question 1:

A sample of size 23 will be drawn from a population with mean 131 and standard deviation 40.

(a) Is it appropriate to use the normal distribution to find probabilities for x?

(b) If appropriate find the probability that x will be less than 117.

(c) If appropriate find the 80th percentile of x.

It is appropriate to use the normal distribution to find probabilities for x.

The probability that x will be less than 117 is blank.

The 80th percentile of x is.

It is not appropriate to use the normal distribution to find probabilities for x.

Question 2:

Vegan Thanksgiving: Tofurkey is a vegan turkey substitute, usually made from tofu. At a certain restaurant, the number of calories in a serving of tofurkey with wild mushroom stuffing and gravy is normally distributed with mean 480 and standard deviation 23.

(a) What proportion of servings have less than 439 calories? Round the answer to four decimal places.

The proportion of servings that have less than 439 calories is blank.

(b) Find the60th percentile of the number of calories.

Question 3: