Chapter 5 Review

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

A national achievement test is administered annually to 3rd graders. The test has a mean score of 100 and a standard deviation of 15. If Jane's z-score is 1.20, what was her score on the test?

• 82
• 88
• 100
• 118

Tags

CCSS.HSS.ID.A.4

1.  Which best describes the shaded part of this normal distribution graph?  

• All data that is one or higher.
• All data that is one or more standard deviations above the mean.
• All data that is between 1 and 3.
• All data that is above the mean.

Tags

CCSS.HSS.ID.A.4

Scores on a certain standardized test have a mean of 500, and a standard deviation of 100. How common is a score between 600 and 700? Calculate the probability. 

• 2.5%
• 2.35%
• 16%
• 13.5%

Tags

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%

Tags

CCSS.HSF-LE.A.1B

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

Tags

CCSS.HSS.ID.A.4

A test is given that has a mean of 70 and a standard deviation of 13. If a student's Z-score is +1, the student's score before conversion was:

• 70
• 83
• 57
• Cannot be determined from the information given.

Tags

CCSS.HSS.ID.A.4

What proportion of the standard normal curve falls above a z score of 1.33? (Rounded to the nearest two decimal places)

• 0.91
• 0.09
• 0.15
• 0.02

Tags

CCSS.HSS.ID.A.4

A z-score tells you...

• the standard deviation of a sampling distribution.
• the original raw score on which it is based.
• if the distribution it comes from is normal.
• how many standard deviations away from the mean a score lies.

Tags

CCSS.HSS.ID.A.4

Find the area under the normal distribution curve to the left of 
Z=0.27.

• 0.3936
• 0.3897
• 0.6064
• 0.4892

Tags

CCSS.HSS.ID.A.4