In: Statistics and Probability
1989 1990 1991 1992 1993
Smokers 11.36% 11.25 % 11.41 % 11.49 % 11.84 %
NonSmokers 6.02% 6.14 % 6.36 % 6.35 % 6.56 %
The data above shows a much higher incidence of low birth weight babies from mothers who smoke. This finding is likely to be a reliable one because
a) everyone knows that smoking is a bad thing.
b) the smokers rate of low birth weight is twice that of the non-smokers.
c) the pattern of differences occurs reliably over each of 5 years.
d) there is a general increase in low birth weight over the years.
On a recent fundraising drive, most of the 30 volunteers raised between $10 and $50 each. However, Brian and Karen each raised over $100. Which of the following is true?
a) The amounts of money raised by Brian and Karen are outliers.
b) The data would best be represented three-dimensionally.
c) The data appear negatively skewed.
d) The data should be represented on a back-to-back stem-and-leaf display.
e) Brian and Karen are cheaters.
Answer 1.
Here is list of babies birth weight for smokers and non smokers.
Year | |||||
1989 | 1990 | 1991 | 1992 | 1993 | |
Smokers % | 11.36 | 11.25 | 11.41 | 11.49 | 11.84 |
Non Smokers % | 6.02 | 6.14 | 6.36 | 6.35 | 6.56 |
Smokers % - Non Smokers % | 5.34 | 5.11 | 5.05 | 5.14 | 5.28 |
Here is line graph showing under weight babies birth rate.
Above chart indicates that the pattern of differences occurs over each of 5 years. Hence its answer is (c) option.
--------
Answer 2.
It is given that most of the 30 volunteers raised funds between $10 to $50. However, Brian and Karen each raised $100.
This indicates that the fund raised by Brian and Karen ( $100) is very far from fund range raised by most of volunteers ( between $10 to $50). So it indicate that the money raised by Brian and Karen of $100 is outliers. Hence the correct answer is (a) .