Applied Statistical Methods 1000
Assignments
Rules
- All assignments should be your individual work; otherwise, points
will be deducted. [Students who wish to work together on homework
must request my permission to do so in advance.]
- Because answer keys are made available after homework is turned
in, late homeworks will not be accepted. In a valid emergency,
your recitation instructor may make an exception.
- Your homework should be neat and well-organized. Show your work
and circle your answers. Your recitation instructor is a student
like you and will not take time to decipher poor handwriting, put
pages in order, or read notes scrawled in margins.
- Be sure to write or print your name at the top of the first page
of your homework. Put your name or initials at the top of each
additional sheet of paper or computer output. Staple your pages
together.
- Answer keys are placed on file in the Math-Stat Library
(4th floor Thackeray) usually
on Monday mornings after assignments are handed in. They are
on two-hour reserve so that you can take them out to be copied.
- Computer output must be circled/underlined and explained in order to
receive full credit.
Note: Course average is based on 200 homework/lab points, but
250 points are possible; consider any excess as extra credit points.
Homework 1
Due in lecture January 24. Points total 21.5.
Use sketches as much as possible to solve normal problems.
| [1.5 pts.] |
1.8 |
(page 24) |
Tell the rates and your conclusion: have deaths per 100 million
miles decreased or increased? |
| [2 pts.] |
1.16 |
(page 25) |
| [1 pt.] |
1.18 |
(page 26) |
| [1 pt.] |
1.22 |
(page 28) |
| [2 pts.] |
1.24 |
(page 29) |
| [3 pts.] |
1.46 |
(page 57) |
| [2 pts.] |
1.50 |
(page 58) |
| [2 pts.] |
1.82 |
(page 85) |
| [1 pt.] |
1.86 |
(page 86) |
| [2 pts.] |
1.88 |
(page 86) |
| [1 pt.] |
1.90 |
(page 87) |
| [1 pt.] |
1.92 |
(page 87) |
| [.5 pts.] |
1.126 |
(page 96) |
[This question requires you to visualize the
distribution of incomes. Do you believe
that this distribution is skewed to the left or
to the right? For the type of distribution you
visualize, is the mean less or greater than
the median? Now answer the question.] |
| [1.5 pts.] |
1.128 |
(page 96) |
Homework 2
Due in lecture January 31. Points total 27.
| [1 pt.] |
2.2 |
(page 116) |
| [2 pts.] |
2.16 |
(page 124) |
| [2 pts.] |
2.22 |
(page 132) |
| [1.5 pts.] |
2.34 |
(page 135) |
| [4 pts.] |
2.40 |
(page 148) |
using MINITAB |
| [1.5 pts.] |
2.52 |
(page 152) |
| [4.5 pt.] |
2.54 |
(page 153) |
using MINITAB; circle relevant parts of output |
| [2 pts.] |
2.61 |
(page 170) |
| [.5 pt.] |
2.72 |
(page 175) |
| [1 pt.] |
2.78 |
(page 185) |
| [1 pt.] |
2.86 |
(page 186) |
| [1 pt.] |
2.88 |
(page 186) |
| [5 pts.] |
extra MTB |
(TBA ) |
Homework 3
Due in lecture February 7. Points total 18.
| [1 pt.] |
3.2 |
(page 227) |
| [1 pt.] |
3.6 |
(page 228) |
| [3 pts.] |
3.12 |
(page 242) |
| [1 pt.] |
3.16 |
(page 243) |
| [2 pts.] |
3.28(a) |
(page 246) |
| [1.5 pts.] |
3.36 |
(page 255) |
| [1 pt.] |
3.50 |
(page 258) |
| [1 pt.] |
3.54 |
(page 259) |
| [1 pt.] |
3.58 |
(page 269) |
| [1 pt.] |
3.60 |
(page 269) |
| [2 pts.] |
3.62 |
(page 270) |
For each distribution, choose one:
(i) low bias, low variability
(ii) low bias, high variability
(iii) high bias, low variability
(iv) high bias, high variability |
| [1.5 pts.] |
3.76 |
(page 275) |
| [1 pt.] |
3.90 |
(page 278) |
Homework 4
Due in lecture Feb. 14. Points total 25.
| [1.5 pts.] |
4.18 |
(page 300) |
| [2 pts.] |
4.20 |
(page 301) |
| [2 pts.] |
4.32 |
(page 303) |
| [1.5 pts.] |
4.40 |
(page 314) |
| [1.5 pts.] |
4.46 |
(page 315) |
| [1 pt.] |
4.56 |
(page 318) |
| [2 pts.] |
4.58 |
(page 334) |
| [1 pt.] |
4.60 |
(page 334) |
| [1 pt.] |
4.68 |
(page 336) |
Hint: the R.V. is X + Y + 5 |
| [1 pt.] |
4.70 |
(page 336) |
Hint: remember Rule 2 p.330 is for variance, not s.d.! |
| [1 pt.] |
4.86 |
(page 353) |
| [2 pts.] |
4.88 |
(page 353) |
| [1.5 pts.] |
4.94 |
(page 354) |
| [2 pts.] |
4.102 |
(page 356) |
| [1 pt.] |
4.104 |
(page 357) |
Hint: Find P(B given V) |
| [3 pts.] |
4.125 |
(page 362) |
Homework 5
Due in lecture February 21. Points total 16.5.
| [1 pt.] |
5.4 |
(page 384) |
| [1 pt.] |
5.6 |
(page 385) |
| [1.5 pts.] |
5.8 |
(page 385) |
| [3 pts.] |
5.12 |
(page 386) |
| [2 pts.] |
5.22(a)(b) |
(page 389) |
| [2 pts.] |
5.24 |
(page 390) |
| [2 pts.] |
5.32 |
(page 403) |
| [2 pts.] |
5.38 |
(page 405) |
For (a), describe the distribution by telling its center, spread, and
shape. |
| [2 pts.] |
5.54 |
(page 409) |
For (d), tell which would be most and which would be least affected. |
Homework 6
Due in lecture February 28. Points total 11.
| [1 pt.] |
6.2 |
(page 429) |
| [2 pts.] |
6.6 |
(page 430) |
| [1.5 pts.] |
6.8 |
(page 431) |
| [1.5 pts.] |
6.10 |
(page 431) |
| [1 pt.] |
6.16 |
(page 432) |
| [1 pt.] |
6.30 |
(page 435) |
| [2 pts.] |
6.93 |
(page 483) |
| [1 pt.] |
6.94 |
(page 483) |
Homework 7
Due in lecture March 14. Points total 19.5.
| [1 pt.] |
6.34 |
(page 453) |
| [2 pts.] |
6.42 |
(page 455) |
| [1.5 pts.] |
6.44 |
(page 455) |
| [3 pts.] |
6.48 |
(page 456) |
| [1.5 pts.] |
6.52 |
(page 457) |
| [1 pt.] |
6.56 |
(page 457) |
| [1 pt.] |
6.58 |
(page 458) |
| [1 pt.] |
6.62 |
(page 459) |
| [1.5 pts.] |
6.64 |
(page 459) |
| [1.5 pts.] |
6.72 |
(page 467) |
| [1.5 pts.] |
6.74 |
(page 468) |
| [1 pt.] |
6.76 |
(page 468) |
| [1 pt.] |
6.78 |
(page 469) |
| [1 pt.] |
6.96 |
(page 484) |
Homework 8
Due in lecture March 21. Points total 12.
| [1 pt.] |
7.2 |
(page 513) |
| [2 pts.] |
7.4 |
(page 513) |
| [1 pt.] |
7.8 |
(page 513) |
| [1.5 pts.] |
7.10 |
(page 514) |
| [2.5 pts.] |
7.12(a)-(e),not(f) |
(page 514) |
| [1 pt.] |
7.14(a)(b),not(c) |
(page 515) |
| [1 pt.] |
7.26 |
(page 517) |
| [2 pts.] |
7.44 |
(page 523) |
Homework 9
Due in lecture April 4. Points total 21.5.
| [1 pt.] |
7.58 |
(page 544) |
| [2 pts.] |
7.59 |
(page 545) |
| [1.5 pts.] |
7.74 |
(page 549) |
| [1 pt.] |
8.2 |
(page 582) |
| [1 pt.] |
8.4 |
(page 582) |
| [1 pt.] |
8.16 |
(page 584) |
| [2 pts.] |
8.20 |
(page 585) |
Hint: a majority means p>.5. |
| [2 pts.] |
9.4 |
(page 638) |
| [2 pts.] |
9.12 |
(page 640) |
| [2 pts.] |
9.20 |
(page 643) |
| [3 pts.] |
9.24 (b) only; compare your chi-square statistic to the square of
the two-proportion z statistic z=3.916, which would be calculated by the
methods of Section 8.2 |
(page 645) |
| [3 pts.] |
9.44 |
(page 651) |
Homework 10
Due in lecture Mon, Apr.14. Points total 29.
| [4 pts.] |
10.4 |
(page 692) |
using MINITAB |
| [4 pts.] |
10.6 |
(page 693) |
using MINITAB |
| [4 pts.] |
10.12(a)(b) |
(page 695) |
using MINITAB |
| [1.5 pts.] |
10.18 |
(page 697) |
| [1 pt.] |
10.28 |
(page 700) |
| [2 pts.] |
12.2(c) |
(page 782) |
| [3 pts.] |
12.4(a)(b)(c) for 12.2(c)only |
(page 782) |
| [.5 pt.] |
12.6(a) |
(page 782) |
| [6 pt.] |
12.30 (a)(b)(c).
For part (c), just report F, the p-value, and your conclusions. |
(page 789) |
using MINITAB |
| [3 pts.] |
12.32 (a)(b)(c) |
(page 789) |
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