Inverse Normal Distribution

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

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CCSS.HSS.ID.A.4

Which is NOT true about the standard normal distribution?

• It is bell-shaped.

• It has a maximum.

• The mean is 0 and the standard deviation is 1.

• It is asymmetrical.

In a Standard Distribution Curve, find the z-score for the lowest 7th percentile.

• $\approx-1.01$

• $\approx-1.48$

• $\approx-2.05$

• $\approx-2.45$

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

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CCSS.HSS.ID.A.2

CCSS.HSS.ID.A.4

CCSS.HSS.MD.A.3

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

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CCSS.HSS.ID.A.4

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

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CCSS.HSS.ID.A.4

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?

• $\approx16.97\ oz$

• $\approx16.75\ oz$

• $\approx16.45\ oz$

• $\approx16.30\ oz$

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CCSS.HSS.ID.A.4

CCSS.HSS.MD.A.1

CCSS.HSS.MD.A.3

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?

•  $\approx15.69\ oz$ 

•  $\approx15.21\ oz$ 

•  $\approx15.03\ oz$ 

•  $\approx14.99\ oz$ 

Tags

CCSS.HSS.ID.A.4