CCSS.Math.Content.HSS.ID.A.4

Find the area under the standard normal curve where z < 2.42 .

• .008
• .992
• .301
• .862

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CCSS.Math.Content.HSS.ID.A.4

What is the standard deviation of the distribution?

• 1010
• 20
• 60
• √20

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CCSS.Math.Content.HSS.ID.A.4

Find the value for
P( -2.01 < Z < 0.88)

• 0.7884
• 0.2116
• 0.0222
• 0.1984

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CCSS.Math.Content.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

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CCSS.Math.Content.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
• 130.75
• 145
• 120

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CCSS.Math.Content.HSS.ID.A.4

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.

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CCSS.Math.Content.HSS.ID.A.4

Suppose the teenagers that attend public high schools get an average of 5.7 hours of sleep each night with a standard deviation of 1.7 hours.  What is the probability that a randomly selected group of 35 high school students get more than 6 hours of sleep each night?

• .430
• .148
• .281
• .087

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CCSS.Math.Content.HSS.ID.A.4

You have a mean of 56 and a standard deviation of 4.3. What is +2 standard deviations from the mean?

• 60.3

• 47.4

• 51.7

• 64.6

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CCSS.Math.Content.HSS.ID.A.4

Employees at a large company can earn monthly bonuses. The distribution of monthly bonuses earned by all employees last year has mean 2.3 and standard deviation 1.3. Let z represent the standard normal distribution. If x represents the mean number of monthly bonuses earned last year for a random sample of 40 employees, which of the following calculations will give the approximate probability that x is less than 2 ?

• 
• 
• 
• 
• 

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CCSS.Math.Content.HSS.ID.A.4

The term "snowstorms of note" applies to all snowfalls over 6 inches. The snowfall amounts for

snowstorms of note in Utica, New York, over a four-year period are as follows: 7.1, 9.2, 8.0, 6.1,

14.4, 8.5, 6.1, 6.8, 7.7, 21.5, 6.7, 9.0, 8.4, 7.0, 11.5, 14.1, 9.5, 8.6

What are the mean and population standard deviation for these data, to the nearest hundredth?

• mean = 9.46; standard deviation = 3.74

• mean = 9.46; standard deviation = 3.85

• mean = 9.45; standard deviation = 3.74

• mean = 9.45; standard deviation = 3.85

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CCSS.Math.Content.HSS.ID.A.4