Basic Applied Statistics 200
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 Friday 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 over 200 (consider the excess as Extra Credit)

Homework 1 Due in recitation Sept.6-8. Points shown total 13.

[3 pts.] 1.2 (page 6)
[1.5 pts.] 1.4 (page 8)
[2 pts.] 1.8 (page 14) For part (d), you must approximate the histogram area to the left of 0, where total area is 100%.
[1.5 pts.] 1.10 (page 19)
[1.5 pts.] 1.32 (page 36) In part (a), if you split stems, you must do so consistently. For part (c), disregard the word "new". Use quartiles to find the range of the middle half.
[1 pt.] 1.34 (a)(b)not(c) (page 40)
[2 pts.] 1.40 (page 43) There are 9 northeastern, 13 southern states. Construct back-to-back stemplots (see 1.19 on page 23). List the Five Number Summary and draw side-by-side boxplots.
[.5 pt.] 1.46 (page 45) [This question requires you to visualize the distribution of net worths. 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 than or greater than the median? Now answer the question.]

Homework 2 Due in recitation Sept.13-15. Points shown total 19.

Use sketches as much as possible to solve normal problems.

[3 pts.] 1.52 (page 51)
[1.5 pts.] 1.54 (page 55)
[1 pt.] 1.56 (page 56)
[1.5 pts.] 1.60 (page 63) using Table A, not the 68-95-99.7 Rule
[1 pt.] 1.62 (page 64)
[1.5 pts.] 1.64 (page 64)
[1 pt.] 1.66 (page 65)
[1.5 pts.] 1.68 (page 65)
[1 pt.] 1.82 (page 74)
[3 pts.] Redo 1.32 (page 36) using MINITAB
[3 pts.] Redo 1.34(a)(b) (page 40) using MINITAB

Homework 3 Due in recitation Sept.20-22. Points shown total 19.5.

[2 pts.] 2.2 (page 81)
[1.5 pts.] 2.8 (page 91)
[3 pts.] Use MINITAB to do the scatterplot in 2.12, find correlation in 2.21 and the regression line in 2.33 below.
[1.5 pts.] 2.12 (page 94)
[1 pt.] 2.21 (page 103)
[2 pts.] 2.33 (page 114)
[1.5 pts.] 2.18 (page 102)
[1.5 pts.] 2.20 (page 102) calculating r by hand
[4 pts.] 2.38 (page 123) using MINITAB to get the regression equation, but you can plot the lines by hand.
[1.5 pts.] 2.40 (page 124)

Homework 4 Due in recitation Sept.27-29. Points shown total 12.

[.5 pt.] 2.58 (page 137)
[.5 pt.] 2.60 (page 137)
[.5 pt.] 2.62 (page 138)
[2 pts.] 2.80 (page 150)
[1.5 pts.] 2.102 (page 163)
[1 pt.] 3.2 (page 167)
[1 pt.] 3.6 (page 170)
[1 pt.] 3.8 (page 173)
[1.5 pts.] 3.18 (page 182)
[1 pt.] 3.20 (page 182)
[1.5 pts.] 3.26 (page 184)

Homework 5 Due in lecture Oct. 9. Points shown total 19.5.

[1 pt.] 3.40 (page 195) [I'll answer the first part for you: "The difference in earnings between the sampled men and women was so large that it would rarely occur by chance." Now you explain the results for blacks vs. whites.]
[2 pts.] 3.42 (page 196)
[1 pt.] 3.46 (page 200)
[1.5 pts.] 3.62 (page 206)
[1 pt.] 3.72 (page 209)
[1 pt.] 4.2 (page 215)
[2 pts.] 4.10 (page 219)
[1.5 pts.] 4.20 (page 226)
[1 pt.] 4.24 (page 231)
[1.5 pts.] 4.28 (page 232)
[3 pts.] 4.36 (page 235)
[1 pt.] 4.44 (page 247)
[1 pt.] 4.48 (page 249)
[1 pt.] 4.52 (page 249)

Don't panic if your z turns out to be very large in some of the above problems; you know about probabilities for z values outside those in Table A.

Homework 6 Due in recitation Oct.11-13. Points shown total 10.

NOTE: You are not responsible for learning how to compute binomial probabilities via the method described on pages 271-273 in your text. Most textbooks provide tables for such computations. You will, however, need to know the formulas for the mean and standard deviation of the binomial distribution (and that these formulas are only applicable when you have a binomial distribution). These will enable us to make normal approximations.

[1.5 pts.] 5.2 (page 261)
[1 pt.] 5.10 (page 267) Hint: Use Rule 3 on page 258.
[1.5 pts.] 5.14 (page 267)
[1.5 pts.] 5.16 (page 268)
[.5 pt.] 5.18 (page 271)
[1.5 pts.] 5.26 (page 276)
[1 pt.] 5.28 (page 279)
[1 pt.] 5.34(a)(b) (page 281)
[.5 pt.] 5.38 (page 282)

Homework 7 Due in recitation Oct.18-20. Points shown total 17.

[.5 pt.] 5.40 (page 285)
[1 pt.] 5.42 (page 286)
[1 pt.] 5.46 (page 289)
[1.5 pts.] 5.52 (page 290)
[1 pt.] 5.54 (a)(c) (page 292) using a normal approximation.
[2.5 pts.] 5.64 (page 295)
[.5 pt.] 6.2 (page 303)
[1 pt.] 6.4 (page 307)
[1 pt.] 6.6 (page 308)
[1.5 pts.] 6.8 (page 310)
[.5 pts.] 6.12 (page 312)
[1 pt.] 6.14 (page 314)
[4 pts.] 6.20 (page 317) using MINITAB.

Homework 8 Due in recitation Oct.25-27. Points shown total 13.

[1.5 pts.] 6.26 (page 323) Hint for (a): tell center, spread, and shape of x-bar; mark your sketch using the 68-95-99.7 Rule.
[1 pt.] 6.28 (page 325)
[1 pt.] 6.30 (page 325)
[2 pts.] 6.32 (page 328)
[1.5 pts.] 6.34 (page 333)
[4.5 pts.] 6.36 (page 333) using MINITAB.
[1.5 pts.] 6.38 (page 337)

Homework 9 Due in recitation Nov.1-3. Points shown total 12.

[1 pt.] 6.54 (page 343)
[1.5 pts.] 6.55 (page 345)
[.5 pts.] 6.56 (page 345)
[1 pt.] 6.58 (page 347)
[1 pt.] 6.62 (page 348)
[4.5 pts.] 6.74 (page 360) using MINITAB.
[1 pt.] 6.76 (page 361) Hint: review summary of confidence interval on page 306. Think about (a) the sampling process and (b) the Central Limit Theorem.
[1 pt.] 6.78 (page 361)
[.5 pt.] 6.82 (page 362)

Homework 10 Due in lecture Nov.13. Points shown total 25.5

[1 pt.] 7.2 (page 369)
[1.5 pts.] 7.4 (page 373)
[2 pts.] 7.6 (page 374)
[1.5 pts.] 7.8 (page 378)
[2 pts.] 7.12 (page 382)
[1 pt.] 7.14 (page 384)
[4.5 pts.] 7.16 (page 385) using MINITAB.[To answer part (c), think about how much information we have about the sample.]
[1 pt.] 7.20 (page 386)
[.5 pt.] 7.25 (page 389)
[1 pt.] 7.28 (page 391)
[5 pts.] 7.32 (page 399) using MINITAB. Repeat the MINITAB analysis using a pooled procedure, where you assume population variances to be equal. Which is appropriate here, pooled or not pooled?
[4.5 pts.] 7.36 (page 402) using MINITAB. Again, decide if the procedure should be pooled or not.

Homework 11 Due in recitation Nov.15-17. Points shown total 19.5.

[1 pt.] 8.2 (page 431)
[1.5 pts.] 8.4 (page 433)
[2 pts.] 8.6 (page 434)
[1.5 pts.] 8.8 (page 436) based on the assumptions on page 435.
[1.5 pts.] 8.10 (page 440)
[1 pt.] 8.12 (page 442)
[1 pt.] 8.16 (page 444) [For part (a), tell center, spread, and shape of the distribution of sample proportion.]
[3 pts.] 9.2 (page 475)
[2 pts.] 9.4 (page 479)
[1.5 pts.] 9.6 (page 481)
[2.5 pts.] 9.20 (page 494)

Homework 12 Due in recitation Nov.29-Dec.1. Points shown total 17.

[5 pts.] 10.2 (page 505) using MINITAB.
[1.5 pts.] 10.4 (page 510)
[1 pt.] 10.6 (page 515)
[4.5 pts.] 10.17 (page 526) using MINITAB.[Note: numbers of nematodes are not entered in as part of the data---they merely identify the four treatment groups.]
[4.5 pts.] 11.2 (page 535) using MINITAB
[.5 pts.] 11.4 (page 538)

Homework 13 Due in recitation Dec.6-8. Points shown total 11.

[2 pts.] 11.10 (page 546)
[4 pts.] 11.12 (page 550) using MINITAB.
[1.5 pts.] 11.16 (page 554)
[1.5 pts.] 8.24 (page 450)
[1 pt.] 8.26 (page 451)
[1 pt.] 8.34 (page 458)


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