Question 1

The following refer to the following data set:

30.4	63.7	45.6	37.3	63.7
27.1	47	55.2	63.7	42.7

What is the arithmetic mean of this data set? mean = What is the median of this data set? median = What is the mode of this data set? mode =

QUESTION 2

Calculate the sample standard deviation of the data shown. Round to two decimal places.

x

28

16

20

22

14

30

19

13

sample standard deviation =

QUESTION 3

The most recent exam scores have a mean of 68 and a standard deviation of 6.7. The z-score of Braelin's test score is -1.9. What is her test score?

(Round the answer to 2 decimal places)

answer =

QUESTION 4

Suppose a set of data has mean x =27 and standard deviationx =1.2.

(Give answers accurate to three decimal places.)

1. What is the z-score for the data value x = 29? z =
2. What is the z-score for the data value x =26? z =
3. What data value corresponds to the z=score: z =1.1? x =
4. What data value corresponds to the z=score: z =-2.3? x =

Question 5

In a mid-size company, the distribution of the number of phone calls answered each day by each of the 12 receptionists is bell-shaped and has a mean of 49 and a standard deviation of 6. Using the empirical rule (as presented in the book), what is the approximate percentage of daily phone calls numbering between 31 and 67? answer =

QUESTION 6

The physical plant at the main campus of a large state university receives daily requests to replace florescent lightbulbs. The distribution of the number of daily requests is bell-shaped and has a mean of 58 and a standard deviation of 4. Using the empirical rule (as presented in the book), what is the approximate percentage of lightbulb replacement requests numbering between 58 and 62? answer =

QUESTION 7

The number of potholes in any given 1 mile stretch of freeway pavement in Pennsylvania has a bell-shaped distribution. This distribution has a mean of 41 and a standard deviation of 7. Using the empirical rule (as presented in the book), what is the approximate percentage of 1-mile long roadways with potholes numbering between 27 and 62? answer=

QUESTION 8

A company has a policy of retiring company cars; this policy looks at number of miles driven, purpose of trips, style of car and other features. The distribution of the number of months in service for the fleet of cars is bell-shaped and has a mean of 42 months and a standard deviation of 10 months. Using the empirical rule (as presented in the book), what is the approximate percentage of cars that remain in service between 62 and 72 months?

answer =