5.3 Finding Values

Find the z-score given the cumulative area of 0.2877

• -0.56

• 1.26

• 0.59

• -0.52

Find the z-score given the cumulative area of 0.4840

• -0.04

• 0.79

• -0.90

• -0.03

Find the z-score given the cumulative area of 0.9370

Round your answer to two decimal places.

Mathematical Equivalence

ON

• 0.385

• -0.385

• -1.82

• 1.82

Find the z-score for the above area.

Round to two decimal places.

Mathematical Equivalence

ON

A 12 oz. can of soda has a mean volume of 12 oz and a standard deviation of 0.25 oz.

How many ounces would the can have to fall at the 90th percentile?

• 13.86 ounces

• 12.32 ounces

• 8.14 ounces

• 20.07 ounces

At a local high school, GPAs are normally distributed with a mean of 2.9 and standard deviation of 0.6.

What GPA falls at the 80th percentile?

Round to the nearest tenth (one decimal place)

Mathematical Equivalence

ON

The annual per capita utilization of oranges (in pounds) in the US can be approximated by a normal distribution as shown in the graph.

What annual per capita utilization of oranges represents the third quartile?

Round to two decimal places.

Mathematical Equivalence

ON

The weights of the contents of a cereal box are normally distributed with a mean weight of 20 ounces and a standard deviation of 0.07 ounce.

Boxes in the lower 5% do not meet the minimum weight requirements and must be repackaged.

What is the minimum weight requirement for a cereal box?

• 20.11 oz

• 0 oz

• 19.88 oz

• 19.93 oz