Free Printable StatProb Module 2 Quiz Reviewer

1.

Which normal curve has the largest mean?

a)

blue

b)

green

2.

Which normal curve has the smallest standard deviation?

a)

blue

b)

green

3.

What is the standard deviation?

(a)

4.

Which value is one standard deviation below the mean?

(a)

5.

Let the normal random variable X be the percentage of products that have saturated fat contents. According to a dietician who manufactures cooking oils, 95% of their products still have saturated fat contents between 8% and 16%.

What is the mean of this distribution?

a)

12%

b)

2%

c)

10%

d)

14%

6.

Let the normal random variable X be the percentage of products that have saturated fat contents. According to a dietician who manufactures cooking oils, 95% of their products still have saturated fat contents between 8% and 16%.

What is the standard deviation of this distribution? (Indicate the value ONLY. Do not label)

(a)

7.

Let the normal random variable X be the percentage of products that have saturated fat contents. According to a dietician who manufactures cooking oils, 95% of their products still have saturated fat contents between 8% and 16%.

In which TWO values will approximately 99.7% of the products with saturated fat contents fall?

a)

6%

b)

8%

c)

14%

d)

18%

8.

Let the normal random variable X be the percentage of products that have saturated fat contents. According to a dietician who manufactures cooking oils, 95% of their products still have saturated fat contents between 8% and 16%.

Approximately what percent of the products would you expect to have saturated fat contents greater than 14%?

a)

16%

b)

15.85%

c)

47.5%

d)

2.5%

9.

What is the z-score equivalent of 7.2 if

\mu=5.1

and

\sigma=1.3

?
Round off to two decimal places

(a)

10.

How many standard deviations is 23 from the mean if

\overline{x}=28

and

s=2

?

a)

2.5 standard deviations above the mean

b)

2.5 standard deviations below the mean

c)

-2.5 standard deviations below the mean

d)

-2.5 standard deviations above the mean

11.

Some doctors believe that a person can lose five pounds, on the average, in a month by reducing his fat intake and by exercising consistently. Suppose weight loss has a normal distribution. Let X be the amount of weight lost (in pounds) by a person in a month. Use a standard deviation of two pounds. Suppose a person lost 10 pounds in a month. What is the z-score equivalent of this?

(a)

12.

A citrus farmer who grow mandarin oranges finds that the diameters of mandarin oranges harvested on his farm follow a normal distribution with a mean diameter of 5.85 cm and a standard deviation of 0.24 cm.

A mandarin orange has a diameter of 6.0 cm. What is the z-score equivalent of this?

a)

0.625

b)

-0.625

c)

0.650

d)

-0.650

13.

Refer to the figure. What is the area of the shaded region given that z = -0.99? (Answer format: x.xxxx)

(a)

14.

What is P(z > 3.05)?

a)

0.11%

b)

11%

c)

1.1%

d)

0.01%

15.

The golf scores for a team are normally distributed with a mean of 68 and a standard deviation of 3. Find the probability that a golfer scored between 66 and 70. (Type your answer in decimal form)

(a)

StatProb Module 2 Quiz Reviewer

Total questions: 15

Worksheet time: 21mins

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