HW4 Solutions
61 points total
1.15 (8 points total: 1 pt each for discrete/continuous/nominal/ordinal and 1 point
each for justifications).
- quantitative, discrete: These are numbers and are a count, so you couldn't have 10.5
bacteria for instance. So it is discrete.
- qualitative, nominal: There is no natural numbering of occupations and they can't be
naturally ordered either.
- qualitative, nominal: There is no natural numbering of marital status and they can't be
naturally ordered either. Which would come first: divorced or widowed?
- quantitative, discrete: Since the said "in months" I'm assuming they meant
whole numbers (3 months, but not 3.5 months) so it would be discrete. But time is
generally continuous.
1.16 (b) (18 points total: 1 pt each for qualitative/quantitative, 1 pt each for
discrete/continuous/nominal/ordinal and 1 point each for justifications).
- quantitative, discrete: On a questionnaire they want whole numbers (34 years, for
instance) not fractions (not 34.5 years), so it is discrete.
- qualitative, nominal: Not numbered and not orderable (is that a word?).
- quantitative, discrete: A number but always a whole number. You can't have 2.3 children.
- qualitative, ordinal: Rankings like this are always qualitative and ordinal. Even when
the choices are numbers they are not a natural numbering system. You could rank from 1-5
or from 11-15 just as easily.
- qualitative, nominal: a yes/no question with no natural ordering (which would come
first?).
- quantitative, discrete: A whole number, you cant buy something 2.4 times.
2.4 (15 points total: 5 pt for each part)
-
| Cruise Line |
Frequency |
Relative
Frequency |
| Canaveral |
152,240 |
0.096 |
| Carnival |
480,924 |
0.302 |
| Disney |
73,504 |
0.046 |
| Premier |
270,361 |
0.170 |
| Royal Caribbean |
106,161 |
0.067 |
| Sun Cruz Casinos |
453,806 |
0.285 |
| Sterling Cruises |
15,782 |
0.010 |
| Topaz |
28,280 |
0.018 |
| Other |
10,502 |
0.007 |
| Total |
1,591,560 |
1 |
- Carnival has the highest relative frequency. About 30% of passengers traveled on
Carnival in 1998.
2.6 (10 points: 5 for relative frequencies and 5 for the relative frequency histogram
and answer to the question)
| Class |
Frequency |
Relative
Frequency |
| 1 |
3 |
0.100 |
| 2 |
5 |
0.167 |
| 3 |
1 |
0.033 |
| 4 |
5 |
0.167 |
| 5 |
7 |
0.233 |
| 6 |
8 |
0.267 |
| 7 |
1 |
0.033 |
Hearing loss type 6, moderate-severe, is most prevalent.
2.8 (10 points total: 5 points each part)
- Opinion 4. 0.635
- Yes, I agree. Either opinion 4 or 5 would satisfy this statement which account for 284
of the 375 reviews, which is 75.7% of reviews.
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