Inverse Normal Calculations Review

What is the the total area under the standard normal distribution curve?

• 100

• 25

• 99.7

• 1

What shape is a normal distribution curve?

• Half curve
• Round curve
• Bell curve
• Square curve

Tags

CCSS.HSS.ID.A.3

What is the z-score for the mean?

• -1

• +1

• 0

• It doesn't have one!

Tags

CCSS.HSS.ID.A.4

If I have a positive z-score, I scored ABOVE or BELOW the mean?

• ABOVE

• BELOW

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CCSS.HSS.ID.A.4

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

• 131

• 145

• 120

Finding the x-value for the 'Top 14%' is the same as finding the x-value for the _______ in a normal distribution.

• Bottom 14 %

• Middle 14 %

• Bottom 86% 

• Middle 86 %

• Top 86 %

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

CCSS.HSS.ID.A.2

CCSS.HSS.MD.A.3

The mean life of a tire is 30,000 km. The standard deviation is 2000 km.

Then, 68% of all tires will have a life between ___________ km and __________ km.

•  28,000 km and 32,000 km.
• 24,000 km and 34,000 km.
• 26,000 km and 34,000 km.
• 27,000 km and 31,000 km.

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 2 decimal places.

A study of the amounts of time college freshmen study each week found that the times are normally distributed with a mean of 7.06 hours and a standard deviation of 2.32 hours. How many hours would the "fastest" 5% of students spend on homework?

• 10.03 hours or less

• 10.86 hours or less

• 4.09 hours or less

• 3.24 hours or less