Practice 4.2.2 - Normal Distribution Intro

Pat and Chris both took a spatial abilities test (mean = 80, std. dev. = 8).  Pat scores a 76 and Chris scored a 94.  What percent of individuals would score between Pat and Chris?  Assume scores on this test are approximately Normal.

• 26.8%
• 96%
• 65.1%
• 4%

Women’s heights are approximately Normal with a mean of 63.6 in. and a standard deviation of 2.5 inches.  A woman is in the 98th percentile.  How tall is the woman?

• 58.5 in
• 66.8 in
• 61.5 in
• 68.7in

The average waist size for teenage males is 29 inches with a standard deviation of 1.4 inch. 
If waist sizes are normally distributed, estimate the proportion of teenagers who will have waist   sizes greater than 31 inches?

• 92.4%
• 10.5%
• 16%
• 7.6%

Tags

CCSS.HSF-LE.A.1B

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

Tags

CCSS.HSS.ID.A.4

A manufacturer contracts to supply ball bearings with diameters between 24.60mm and 25.4mm. Product analysis indicates that the ball bearings manufactured have diameters that are normally distributed with a mean of 25.10mm and a standard deviation of .20mm. What percentage of ball bearings fail to satisfy the contract specifications?

• 92.7%
• 7.3%
• 48.2%
• 33.2%

The average number of calories in a 1.5-ounce chocolate bar is 225.  Suppose that the distribution of calories is approximately normal with a σ of 10.  Find the probability that a randomly selected chocolate bar will have between 200 and 220 calories. 

• 0.9876
• 0.3023
• 0.0098
• 0.3320

Suppose that 10th grade girls have hair lengths that are normally distributed with a mean of 10 inches and a standard deviation of 4 inches. How long would a 10th grade girl's hair have to be in order to be at the 80th percentile for length?

• 13.4 inches
• 6.6 inches
• 4.4 inches
• 14.7 inches

Professional golfer John Daly is known for his long drives off the tee. Suppose his drives have a mean distance of 315 yards with a standard deviation of 12 yards and that his drive distances are Normally distributed. What lengths of drives will constitute the middle 60% of all of his drives?

• 303 yards to 327 yards
• 0 to 318 yards
• 312 yards to 318 yards
• 305 to 325 yards

In a weightlifting competition, the amount that the competitors can lift is normally distributed with μ = 196 kg and σ = 11 kg. Only the top 10% of all competitors will be able to advance to the next phase of the competition. What amount must a competitor lift in order to move into the next phase of the competition?

• 206 kg
• 210 kg
• 182 kg
• 222 kg

Tags

CCSS.HSS.ID.A.4

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

Tags

CCSS.HSS.ID.A.4