Empirical Rule and Z-Score

Mathematical Equivalence

ON

Tags

CCSS.MATH.CONTENT.HSS.ID.A.4

Mathematical Equivalence

ON

Tags

CCSS.MATH.CONTENT.HSS.ID.A.4

• 99.04%

• 0.96%

• 98.93%

• 97.68%

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%

Between what two standard deviations of a normal distribution contain 68% of the data?

• one below and one above

• two below and two above

• two below and zero

• zero and two above

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%

A 12 oz can of soda has a mean volume of 12 oz, with a standard deviation of .25 oz. How common are cans with less than 11.5 oz of soda? Calculate the probability.

• 2.5%

• 0.15%

• 2.35%

• 2.25%

Find the value of x.

Z-score = -2.2

mean = 25

Standard Deviation: 7

• 9.6

• -36

• 5.2

• 23.46

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.

What is the area under the curve to the left of z = 0.55 ?

• .2912

• .5500

• .9394

• .7088