Stats Final Exam Review

What shape is a normal distribution curve?

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

Tags

CCSS.HSS.ID.A.2

CCSS.HSS.ID.A.3

Adam's Z-score on a test is +2.5.  What does this mean?

• He'd better start studying.
• He did better than EVERYONE.
• He scored 2.5 standard deviations above the average.
• He did terrible.

Tags

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%

The center of the curve represents what value of a data set?

• μ
• δ
• Σ
• Ζ

In a normal distribution find P( 0.35 < Z < 0.64)

• .0227
• .1021
• .0945
• .2104

In a normal distribution find P(-1.2 < Z < 0.64)

• .0227
• .6238
• .5467
• .7135

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.

Find the area of the shaded region.

• 0.16

• 0.84

• 0.68

• 0.34

If heights of 3rd graders follow a normal distribution with a mean of 52 inches and a standard deviation of 2.5 inches, what is the z score of a 3rd grader who is 47 inches tall? 

• -5
• -2
• 2
• 5

Tags

CCSS.HSS.ID.A.4

A men’s clothing company is doing research on the height of adult American men in order to inform the sizing of the clothing that they offer. The height of males in the United States is normally distributed with a mean of 175 cm and a standard deviation of 15 cm. Men who are more than 30 cm different (shorter or taller) from the mean are classified by the apparel company as special cases because they do not fit in their regular length clothing. Given this information, what proportion of men would be classified as special cases?

• 0.3%
• 5%
• 32%
• 10%