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1)The weights of adult male birds of a certain species are normally distributed with a mean of 27.5 grams and a standard deviation of 1.1 grams.

What is the z-score of a male bird of this species with a weight of 29.37 grams?

2)The lengths of spools of ribbon are normally distributed with a mean of 91.4 centimeters and a standard deviation of 1.3 centimeters.

What is the length of a spool of ribbon with a z-score of 0.7?

Enter your answer, rounded to the nearest tenth, in the box.

3)The time it takes people to fill out a medical form is normally distributed with a mean of 8 minutes and a standard deviation of 2 minutes.

Approximately what percent of people take between 2 and 14 minutes to fill out the medical form?

50%

68%

95%

99.7%

4)
Item 4

Use technology or a z-score table to answer the question.

The speed of automobiles at one spot on a highway is normally distributed with a mean of 60 miles per hour and a standard deviation of 5.2 miles per hour.

Approximately what percent of automobiles at that location are traveling between 50 and 65 miles per hour?

2.7%

16.8%

80.4%

83.2%

5)
Item 5

Use technology or a z-score table to answer the question.

The normal admission price to see a movie at different theaters is normally distributed with a mean of $11.80 and a standard deviation of $1.15.

Approximately what percent of theaters charge more than $10 to see the movie?

5.8%

19.8%

80.2%

94.2%

6)The weights of pears in an orchard are normally distributed with a mean of 170 grams and a standard deviation of 24 grams.

What is the weight of a pear in the orchard with a z-score of −2.8 ?

Enter your answer in the box.

grams

7)The number of words per page in a certain book is normally distributed with a mean of 340 words and a standard deviation of 20 words.

Approximately what percent of pages in the book are less than 360 words in length?

16%

34%

68%

84%

8)Select Yes or No to state whether each data set is likely to be normally distributed.

Data Set Yes No

the number of coupons used at a supermarket

the weights of the pumpkins that are delivered to a supermarket

the number of raisins in each 8-oz box of raisins at a supermarket

the amount of time customers spend waiting in the checkout line at a supermarket

9)The masses of the oranges on sale at a farm stand are normally distributed with a mean of 239 grams and a standard deviation of 25 grams.

Enter the z-score of an orange that has a mass of 259 grams.

10)The times it takes runners to complete a certain marathon are normally distributed with a mean of 4.6 hours and a standard deviation of 1.1 hours.

What is the time for a runner with a z-score of −1.2 ?

Enter your answer, rounded to the nearest hundredth, in the box

11)Use technology or a z-distribution table to find the indicated area.

The masses of the eggs collected on a farm are normally distributed with a mean of 55 grams and a standard deviation of 4.2 grams.

Approximately 80% of the eggs on the farm have a mass greater than which mass?

51.5 g

54.1 g

55.8 g

58.5 g

12)Use technology or a z-score table to answer the question.

The weights of boxes of rice produced at a factory are normally distributed with a mean of 24 ounces and a standard deviation of 1.3 ounces. Consider a shipment of 1200 boxes of rice.

How many of the boxes will weigh 25 ounces or less?

192

265

935

1008