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HOMEWORK. 1. Height has an approximately bell-shaped
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HOMEWORK.

 

1. Height has an approximately bell-shaped distribution. For a sample of heights of college students

 

collected, the males had x =69 s =3 and the females had x = 66

 

a) Use the empirical rule to describe the distribution of heights for females.

 

Approximate 68% of the observations fall within the interger (__, __) ?

 

2. Here is the five-number summary for the distribution of a cigarette tax (in cents) for all the states in a

 

certain country. Use this information to answer parts a through d.

 

Minimum=6, Q1=35, Median=50, Q3=96, Maximum=160

 

a) About what proportion of the states have cigarette taxes (i) greater than 35 cents and (ii) greater

 

than 96 cents?

 

(i)

 

About __% of the states have cigarette taxes greater than 35 cents.

 

(ii)

 

About __% of the states have cigarette taxes greater than 96 cents.

 

3. The scores on an exam have mean =85, standard deviation =11, minimum 61, Q1=72, median =75,

 

Q3=94, and maximum =107. State which of these values are used in a box plot and then sketch the box

 

plot.

 

Select all that apply:

 

A.

 

B.

 

C.

 

D.

 

E.

 

F.

 


 

Q1

 

Maximum

 

Mean

 

Minimum

 

Q3

 

Standard deviation

 


 

4. A survey was conducted to determine how many miles per day employees of a company used public

 

transportation. The sample values are below.

 

0 0 7 0 0 0 11 0 9 0

 

a) Identify the five-number summary, and draw a box plot.

 

__, __, __, __, __

 

(type integers or decimals. Using ascending order. Do not round)

 

5. For a sample of 238 female heights, the mean was 64.1 inches and the standard deviation was 2.3

 

inches. The shortest person in this sample had a height of 55 inches.

 

a. Find the Z-score for the height of 55 inches. (round to one decimal as needed)

 

b. What does the negative sign for the z-score represent?

 

c. Is this observation a potential outlier according to the three standard deviation criterion? Explain.

 


 

6. The six full-time employees of a tanning salon near campus had annual incomes last year $8200,

 

$8400, $8400, $8500, $8700, $8900. The owner made $490,00.

 

a. For the seven annual incomes at the salon, report the mean and the median.

 

b. why is it misleading for the owner to boast to her friends that the average salary at the salon

 

is more than $70,000?

 

7. Explain what is wrong with the following pie chart, which depicts the federal government breakdown

 

by category for 2010.

 


 

Choose the correct answer below.

 

A.

 

The pie chart only shows the bottom portion for two of the slices, which alone makes those two slices

 

misleading.

 

B.

 

In general, the sizes of the slices at the front of the pie are smaller than they should be, and the sizes of

 

the slices at the back of the pie are larger than they should be.

 

C.

 

The colors of the pie chart are too similar, which makes the different slices difficult to distinguish.

 

D.

 

In general, the sizes of the slices at the front of the pie are larger than they should be, and the sizes of the

 

slices at the back of the pie are smaller than they should be.

 

8. What information can a time plot show that a histogram cannot

 


 

provide?

 

A.

 

A time plot identifies the mean, median, and mode.

 

B.

 


 

A time plot shows the shape of the distribution.

 

C.

 

A time plot connects the data points over time to show time trends.

 

D.

 

A time plot shows the viewer the number of observations at each level.

 


 

 







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