Review - Normal Distribution

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

Tags

CCSS.HSS.ID.A.4

The Empirical Rule's percents are:

• 68-95.7-99

• 68-95-99.7

• 68.7-95-99

Tags

CCSS.HSS.ID.A.4

68% of the data lies within:

• 3 Standard Deviations of the Mean

• 2 Standard Deviations of the Mean

• 1 Standard Deviation of the Mean

95% of the data lies within:

• 3 Standard Deviations of the Mean

• 2 Standard Deviations of the Mean

• 1 Standard Deviation of the Mean

Tags

CCSS.HSS.ID.A.4

99.7% of the data lies within:

• 3 Standard Deviations of the Mean

• 2 Standard Deviations of the Mean

• 1 Standard Deviation of the Mean

Tags

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.

Tags

CCSS.HSS.ID.A.4

• 81.5%

• 68%

• 95%

• 84%

Tags

CCSS.HSS.ID.A.4

Use the following information and the Empirical Rule to estimate the answer.

The ages of golfers are normally distributed, with a mean of 38 and a standard deviation of 4.

Find the percentage of golfers that are between 30 and 46 years old.

• 68%

• 94%

• 95%

• 99.7%

Tags

CCSS.HSS.ID.A.4

Use the following information and the Empirical Rule to estimate the answer.

The ages of golfers are normally distributed, with a mean of 38 and a standard deviation of 4.

There are 500 golf members at the Mathy Country Club. How many are younger than 34?

• 16

• 80

• 100

• 150

Tags

CCSS.HSS.ID.A.4

The mean GPA of students in a course at UCDavis is 3.2 with a standard deviation of 0.3. What percent of students in the course have a GPA between  2.9 and 3.8? 

• 81.5%
• 47.5%
• 68%
• 95%

Tags

CCSS.HSS.ID.A.4