Normal Distributions and Inverse Normal Distributions

In a survey of men in the United States (ages 20-29), the mean height was 69.6 inches with a standard deviation of 3.0 inches. Find the minimum height in the top 17.5% .

• 69.98 in

• 71.18 in

• 72.40 in

• 73.01 in

The distances male long jumpers for State College jump are approximately normal with a mean of 263 inches and a standard deviation of 14 inches.  
Suppose a male long jumper's jump ranked in the 75th percentile.  How long was his jump?

• 0.67 inch
• 263 inches
• 272.44 inches
• 277.25 inches

The scoring of modern IQ is such that Intelligence Quotients (IQs) have a normal distribution of μ= 100 and 𝞂 = 15.

Mensa International is a non-profit organization that accepts only people with IQ score within the top 2%. What level of IQ qualifies one to be a member of Mensa?

• 115

• 130.8

• 145.5

• 120

At Chili's, the average wait time to receive your meal is 22 minutes with a standard deviation of 9 minutes. What is the wait time for the top 12% ? Round to the nearest minute.

• 39 minutes

• 37 minutes

• 33 minutes

• 31 minutes

Suppose the amount of soda in a can is normally distributed; the mean is 16 oz and standard deviation is 0.4 oz. How much soda is in the heaviest 3% of cans?

Suppose the amount of soda in a can is normally distributed; the mean is 16 oz and standard deviation is 0.4 oz. How much soda is in the lightest 22% of cans?

Rabbit's masses are normally distributed with a mean of 2.6kg and a variance of 1.44kg. A vet decides that the top 20% of rabbits are obese.

What is the minimum mass for an obese rabbit?

• 3.61kg

• 4.14kg

• 1.59kg

• 5.06kg

A test is designed so that it has a mean of 100 and a standard deviation of 20. What score is needed to be in the top 2% of scorers?

• 117

• 147

• 59

• 141

The distances male long jumpers for State College jump are approximately normal with a mean of 263 inches and a standard deviation of 14 inches.  
Suppose a male long jumper's jump ranked in the 75th percentile.  How long was his jump?

• 0.67 inch
• 263 inches
• 272.44 inches
• 277.25 inches

The weights of paper discarded each week by households are normally distributed with a mean of 9.43 pounds and a standard deviation of 4.17 pounds. The top 10% of households discard at least ______ pounds of paper.(Round to nearest tenth)