Statistics and Probability for Business Management 1100
Assignments
Rules
- All assignments should be your individual work; otherwise, points
will be deducted. [Students who wish to work together on homework
should 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
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 annotated and explained in order to
receive full credit.
Note: Points shown total approximately
250. If you average about 80% on your
homeworks, you will earn the full 200 possible homework points. If your
average is higher, the excess will count as extra credit.
Homework 1
Due in lecture September 14. Points shown total 19.5.
| [2 pts.] |
1.22 |
(page 22) |
| [2 pts.] |
2.4 |
(page 41) |
Use sketches as much as possible to solve normal problems. Interpolation
is not necessary for z values with a thousandth place; just round z
to the nearest hundredth first.
| [2 pts.] |
2.34 |
(page 81) |
| [2 pts.] |
2.36 |
(pages 81-82) |
| [2 pts.] |
2.38 |
(page 82) |
| [3 pts.] |
2.40 |
(page 82) |
| [3 pts.] |
2.48 |
(page 84) |
| [2 pts.] |
2.50 (a) (b) [NOT (c) and (d) because some texts have typos!]
|
(page 84) |
| [1.5 pts.] |
2.52 |
(page 84) |
Homework 2
Due in lecture September 21. Points shown total 28.
| [8 pts.] |
2.31 |
(page 71) |
[For 2.31, answer my questions, not the ones in the book.]
(a) Use MINITAB to construct a dotplot, stemplot,
histogram, and boxplot of the data
(b) Report the Five Number Summary
(c) Report Q1-1.5*IR and Q3+1.5*IR.
Are there any outliers according to these limits?
(d) Report the mean and standard deviation.
(e) Describe the shape as skewed left or right, or symmetric.
How many peaks are there? |
| [1.5 pts.] |
3.4 |
(page 115) |
| [5 pts.] |
3.14(a)(b) |
(page 117) |
using MINITAB |
| [4 pts.] |
3.17(a)(b) |
(pages 118-119) |
using MINITAB |
| [1.5 pts.] |
3.36(a)(b) |
(pages 143-144) |
using MINITAB on same data as 3.17 |
| [5 pts.] |
3.28 |
(page 141) |
using MINITAB |
| [2 pts.] |
3.46(a)(b) |
(page 153) |
| [1 pt.] |
3.50 |
(page 154) |
Homework 3
Due in lecture September 28. Points shown total 23.5.
| [1.5 pts.] |
4.8 |
(page 181) |
| [2 pts.] |
4.18 |
(page 183) |
| [1.5 pts.] |
4.25 |
(page 195) |
| [1.5 pts.] |
4.27 |
(page 195) |
| [3 pts.] |
4.34 |
(page 202) |
Just identify each as matched pair or independent samples. (No need
to identify units, treatments, and response.) |
| [1 pt.] |
4.39 |
(page 203) |
| [3 pts.] |
5.2 |
(page 221) |
| [1 pt.] |
5.8 |
(page 222) |
| [1 pt.] |
5.26 (a) |
(page 231) |
| [1 pt.] |
5.34 |
(page 240) |
| [1.5 pts.] |
5.44 |
(pages 242-243) |
| [2 pts.] |
5.52 |
(page 251) |
| [1.5 pts.] |
5.54 |
(page 252) |
using a tree diagram |
| [1.5 pts.] |
5.56 |
(page 252) |
| [1 pt.] |
5.62 |
(page 253) |
Homework 4
Due in lecture October 5. Points shown total 17.
| [3 pts.] |
5.68 |
(page 258) |
| [1 pt.] |
5.70 |
(page 258) |
| [2.5 pts.] |
6.2 |
(page 276) |
| [1.5 pts.] |
6.10 |
(page 283) |
| [2 pts.] |
6.12 |
(pages 283-284) |
| [1 pt.] |
6.14 |
(page 284) |
| [1 pt.] |
6.30 |
(page 296) |
| [3 pts.] |
6.44 |
(page 299) |
[Hint: there are 16 elementary outcomes SSSS, SSSN, etc.] |
| [2 pts.] |
6.88 |
(page 322) |
Homework 5
Due in lecture October 12. Points shown total 28.5.
| [2.5 pts.] |
6.48 |
(page 309) |
| [1 pt.] |
6.52 |
(page 310) |
| [1.5 pts.] |
6.64 |
(page 311) |
| [3 pts.] |
6.70 |
(page 312) |
| [1 pt.] |
6.92(a) |
(page 323) |
| [1.5 pts.] |
6.98 |
(page 324) |
| [2.5 pts.] |
6.104 |
(page 325) |
| [2 pts.] |
7.2 |
(page 333) |
| [1.5 pts.] |
7.4 |
(page 333) |
| [5 pts.] |
#2 |
(Sup.Ex.A) |
(in handout or from my website) |
| [1 pt.] |
#4 |
(Sup.Ex.A) |
| [1 pt.] |
#6 |
(Sup.Ex.A) |
| [1 pt.] |
#8 |
(Sup.Ex.A) |
| [.5 pts.] |
#10 |
(Sup.Ex.A) |
| [3.5 pts.] |
#12 |
(Sup.Ex.A) |
Homework 6
Due in lecture October 19. Points shown total 19.
| [2.5 pts.] |
#2 |
(Sup.Ex.B) |
(in handout or from my website) |
| [1.5 pts.] |
#4 |
(Sup.Ex.B) |
| [1 pt.] |
#6 |
(Sup.Ex.B) |
| [2.5 pts.] |
#8 |
(Sup.Ex.B) |
| [1.5 pts.] |
#10 |
(Sup.Ex.B) |
| [1 pt.] |
7.12 |
(page 337) |
| [2 pts.] |
7.78 |
(pages 373-374) |
| [1 pt.] |
7.16 |
(page 338) |
| [3 pts.] |
7.20 |
(page 343) |
| [2 pts.] |
7.24 |
(page 344) |
| [1 pt.] |
7.34 |
(page 345) |
Homework 7
Due in lecture October 26. Points shown total 14.5.
| [2.5 pts.] |
7.48 |
(page 357) |
| [.5 pts.] |
7.52 |
(page 358) |
| [2 pts.] |
7.56 |
(page 366) |
| [1.5 pts.] |
7.62 |
(page 367) |
In (a) and (b) you have identified center and spread. For part (c),
tell the shape of X bar. |
| [2 pts.] |
7.66 |
(pages 367-368) |
| [1 pt.] |
8.10(a) |
(page 389) |
| [1 pt.] |
8.16 |
(page 397) |
| [.5 pts.] |
8.18 |
(page 397) |
| [1 pt.] |
8.22 |
(page 397) |
| [2.5 pts.] |
8.30 |
(pages 398-399) |
Homework 8
Due in lecture Monday November 5. Points total 16.5.
| [2 pts.] |
8.32 |
(page 408) |
| [2 pts.] |
8.34 |
(page 408) |
| [1 pt.] |
8.38 |
(page 412) |
Be sure to state your conclusion: is the mean of all receipts 151
or is it less? |
| [1 pt.] |
8.42 |
(page 413) |
| [1 pt.] |
8.48 |
(page 415) |
| [2 pts.] |
8.50 |
(page 423) |
| [1.5 pts.] |
8.56(b)(c)(e) |
(page 424) |
Here is the answer to (d): P(t>1.9) is between .05 and .025
because 1.9 lies between 1.753 and 2.131. By symmetry, P(t<-1.9) is also
between .05 and .025, so P(|t|>1.9) is between 2(.05) and 2(.025). |
| [3 pts.] |
8.58 |
(page 424) |
using MINITAB. |
| [1 pt.] |
8.60 |
(page 424) |
| [2 pts.] |
8.72 |
(page 426) |
Can the inspector conclude that population mean fat content is less than
8%? |
Homework 9
Due in lecture November 9. Points shown total 19.
| [5 pts.] |
8.97,8.98 |
(page 437) |
using MINITAB. |
| [5 pts.] |
8.99,8.100 |
(pages 437-438) |
using MINITAB |
| [1 pt.] |
9.22 |
(page 465) |
| [4 pts.] |
9.27 |
(page 466) |
using MINITAB |
| [4 pts.] |
9.32 |
(page 468) |
using MINITAB |
Homework 10
Due in lecture November 16. Points shown total 28.5.
| [2 pts.] |
9.2 |
(page 455) |
| [4.5 pts.] |
9.17 |
(page 458) |
using MINITAB |
| [1 pt.] |
9.20(a)(b) |
(page 459) |
| [4 pts.] |
9.66 |
(page 496) |
using MINITAB |
| [4 pts.] |
9.67 |
(page 496) |
using MINITAB |
| [2 pts.] |
9.40 |
(page 483) |
| [2 pts.] |
9.42 |
(page 483) |
Be sure to state your conclusion: is there convincing evidence that
population means differ? (Answer yes or no.) |
| [4 pts.] |
9.46 |
(page 483) |
using MINITAB; state your conclusion: do population mean densities
differ? |
| [1 pt.] |
9.52(a)(b) |
(page 485) |
Is there convincing evidence of a difference among times for the five
days of the week? |
| [4 pts.] |
9.72(a) |
(page 497) |
using MINITAB |
Homework 11
Due in lecture November 30. Points shown total 16.
| [1 pt.] |
10.4 |
(page 512) |
| [1 pt.] |
10.6 |
(page 512) |
| [1 pt.] |
10.8 |
(page 512) |
| [1 pt.] |
10.10 |
(pages 512-513) |
| [1 pt.] |
10.16 |
(page 514) |
Are a majority of calls returned within two hours? |
| [1 pt.] |
10.22 |
(page 520) |
| [1 pt.] |
10.26 |
(page 520) |
| [2 pts.] |
10.28(a) |
(page 527) |
| [2 pts.] |
10.29(a) |
(page 528) |
Is there evidence that population proportions differ? |
| [2 pts.] |
10.30 |
(page 528) |
| [3 pts.] |
10.38 |
(page 536) |
For part (c), first state whether there is statistical evidence
of dependence. |
Homework 12
Due in lecture Wednesday Dec. 5. Points total 17.5.
| [1.5 pts.] |
11.2 |
(page 554) |
| [1 pt.] |
11.4(b) |
(page 554) |
Answer to (a): When x = 3, y has mean 2+3(3)=11, standard deviation
sigma=1. |
| [4.5 pts.] |
11.23 |
(pages 562-563) |
using MINITAB |
| [1.5 pts.] |
11.24 |
(page 563) |
| [5 pts.] |
11.28 |
(page 574) |
using MINITAB |
| [4 pts.] |
11.29 |
(page 574) |
using MINITAB |
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