InvNorm

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 22%.

• 69.37 in 
• 67.58 in 
• 73.12 in 

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
• 130.75
• 145
• 120

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

A 12 oz. can of soda has a mean volume of 12 oz, with a standard deviation of 0.25 oz. Find the z-score for the 90th percentile. How many ounces would the can have to fall at the 90th percentile?

• z= 1.28, 13 ounces and above

• z= 1.28, 12.32 ounces and above

• z= 1.28. 0.9 ounces and above

• z= -1/28, 12.32 ounces

At a local high school, GPAs are normally distributed with a mean of 2.9 and standard deviation of 0.6. What is the z-score for the 80th percentile? What GPA falls at the 80th percentile?

• z= -0.84, A GPA of 3.40

• z= -0,84, A GPA of 0.8

• z= 0.84, A GPA of 3.80

• z= 0.84, A GPA of 3.40

At a high school, GPAs are normally distributed with a mean of 2.9 and standard deviation of 0.6. What GPA do you need to fall in the top 20%? The top 10%?

• 3.40 and 3.67

• 3.67 and 3.40

• 3.80 and 3.90

• 3.20 and 3.10

The mean life of a tire is 30,000 km. The standard deviation is 2000 km. The company will give you a refund for your tires if they fall in the lowest 5%. How many miles would get you a refund? What is the number of miles that would fall in the top 5%

• 26,700 km and 33,280 km

• 5,000 km and 25,000 km

Pat and Chris both took a spatial abilities test (mean = 80, standard deviation = 8). Pat scored a 76 and Chris scored a 94. Find z-scores for Pat and Chris. What percent of students scored higher than Pat? what percent of students scored lower than Chris? What score is needed to score in the top 25%?

• 69%, 96%, 85

• 85%, 69%, 96

• 96%, 69% 85

Set up this distribution problem.

Assume adult IQ scores are normally distributed with a mean of 100 and a standard deviation of 21. Find the IQ score that separates the bottom 80% from the top 20%.

• InvNorm(.8, 100, 21)

• InvNorm(.2, 100, 21)

• Normalcdf(20, 80, 100, 21)

• Normalcdf(.20, .80, 100, 21)

Tags

CCSS.HSS.ID.A.4

The graph depicts IQ scores that are normally distributed with a mean of 100 and standard deviation of 15. Find x.

• 130.7

• 69.3

• 130.5

• 69.2

Tags

CCSS.HSS.ID.A.4