Stats Chapter 2

In a factory, the weight of the concrete poured into a mold by a machine follows a normal distribution with a mean of 1150 pounds and a standard deviation of 22 pounds. Approximately 95% of molds filled by this machine will hold weights in what interval? 

• 1084 to 1216 pounds 
• 1106 to 1150 pounds 
• 1106 to 1194 pounds 
• 1128 to 1172 pounds

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CCSS.HSS.ID.A.4

At a local high school, GPA's are normally distributed with a mean of 2.9 and standard deviation of 0.6. What percentage of students at the high school have a GPA between 2.3 and 3.5?

• 68%
• 99.7%
• 95%
• 84%

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CCSS.HSS.ID.A.4

At a local high school, GPA's are normally distributed with a mean of 2.9 and standard deviation of 0.6. What is the GPA of the highest 2.5% of the students?

• 4.1 
• 4.1 or higher
• 4.7
• 4.5 or higher

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CCSS.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.HSS.ID.A.4

The shelf life of a particular dairy product is normally distributed with a mean of 12 days and a standard deviation of 3 days.

About what percent of the products last between 12 and 15 days?

• 68%
• 34%
• 16%
• 2.5%

Which interval shows 99.7% of the data given a mean of 15 and a standard deviation of 3? (empirical)

• 9 to 21
• 12 to 18
• 6 to 24
• 13 to 16

Given: Mean = 10, standard deviation = 2.
What is the probability that the data will be between 4 and 16? 

• 68%
• 98%
• 99.7%
• 95%

True or false: A normal curve is skewed right. 

• True
• False

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CCSS.HSS.ID.A.3

CCSS.HSS.ID.A.4

True or false: A normal curve is symmetric

• True
• False

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CCSS.HSS.ID.A.4

Mary and Jim are comparing their height.  Men have a mean height of 71 inches with a standard deviation of 2.1 inches.  Women have a mean height of 68 inches with a standard deviation of 1.7 inches.  If Jim is 74 inches tall, and Mary is 71 inches tall who is relatively taller?

• Mary
• Jim