Page 96 - 2024-bfw-starnes-TPS7e-SE proofs.indd

UNIT 1, PART I Review Exercises 83

60
50

40
Percent 30
© 2024 BFW Publishers PAGES NOT FINAL - For Review Purposes Only - Do Not Copy

20
10
0
1 2 3 4 5 6 7
Household size, low income 0.00 0.25 0.50 0.75 1.00 1.25 1.50
Mercury concentration (ppm)
60
Variable n Mean SD Min Q 1 Med Q 3 Max
50
Mercury 164 0.285 0.300 0.012 0.071 0.180 0.380 1.500
40 (a) Find the range of the distribution.
Percent 30 (b) Interpret the standard deviation.

20 (c) Determine whether there are any outliers. Show your
method clearly.
10
(d) Which measures of center and variability would

0 you use to summarize the distribution? Justify your
1 2 3 4 5 6 7
Household size, high income answer.
R10 More mercury in tuna (1D) Is there a difference in
(a) About what percentage of each group of households the mercury concentration of light tuna and albacore
consisted of four or more people? tuna? Use the parallel boxplots and the summary sta-
(b) Describe the similarities and differences in these two tistics to compare the two distributions.

distributions of household size.
Exercises R9 and R10 refer to the following setting. Do you
like to eat tuna? Many people do. Unfortunately, some of Albacore
the tuna that people eat may contain high levels of mer-
cury. Exposure to mercury can be especially hazardous for Type
pregnant women and small children. How much mercury is
safe to consume? The U.S. Food and Drug Administration
will act (for example, by removing the product from store Light
shelves) if the mercury concentration in a 6-ounce can of
tuna is 1.00 part per million (ppm) or higher.
What is the typical mercury concentration in cans of tuna 0.0 0.2 0.4 0.6 0.8 1.0 1.2 1.4 1.6
sold in stores? A study conducted by Defenders of Wildlife set Mercury concentration (ppm)
out to answer this question. Defenders collected a sample of
164 cans of tuna from stores across the United States. They
sent the selected cans to a laboratory that is often used by the Type n Mean SD Min Q 1 Med Q 3 Max
U.S. Environmental Protection Agency for mercury testing. 99 Albacore 20 0.401 0.152 0.170 0.293 0.400 0.460 0.730
Light 144 0.269 0.312 0.012 0.059 0.160 0.347 1.500

R9 Mercury in tuna (1D) Here are a dotplot and sum-
mary statistics of the data on mercury concentration
in the sampled cans (in parts per million, ppm):

© 2024 BFW Publishers PAGES NOT FINAL - For Review Purposes Only, all other uses prohibited - Do Not Copy or Post in Any Form.

02_StarnesTPS7e_40934_un01_p1_001_086_6pp.indd 83 13/09/23 5:40 PM