Fall 2002
Statistics 515 - Statistical Methods I
Monday/Wednesday/Friday 11:15-12:05
210A LeConte

Course Website: http://www.stat.sc.edu/~habing/courses/515F02.html

12Due: Friday, December 6th
  • Pg 714: 13.15a by hand OR SAS. Also state the null and alternate hypothesis in terms of the parameters and the problem, and check the assumptions.
  • Pg. 732: 13.35 b-d by hand and by SAS. Is the sample size large enough? Is this a test of homogeneity or of independence? Why?
11Due: Wednesday, November 20th
  • Pg. 557: 11.66 a,c,d and make a 95% CI for the slope
  • Pg. 569: 11.77 using SAS to make your own output. Also, check that the assumptions hold.
  • Pg. 548: 11.54 (both what r and r2 tell us)
10Due: Wednesday, November 13th
  • Page 365: 8.76
  • Sketch two sample power curves (on the same graph) for testing H0: mu=0 vs. H0: mu > 0, for alpha=0.10. One of the curves is for a large sample size and the other is for a small sample size.
  • Pg. 459: 10.18a,b,c
  • Pg. 461: 10.25b,c Generate your own output using SAS. Also check the assumptions using the residual plots.
9Due: Monday, October 28th
  • Pg. 357: 8.62
  • Pg. 393: 9.13a by hand and SAS, and 9.13b using SAS
  • Pg. 416: 9.51
8Due: Friday, October 25th
  • Pg. 320: 7.54
  • Pg. 339: 8.27a by both Hand and SAS (note the mean and SD are given on pg. 340 for the by hand part). Also test H0: sigma2=1 vs. HA: sigma2>1 by hand. Finally, check the whether the assumptions for these two tests hold and say whether you trust the results.
  • Pg. 345: 8.34
7Due: Wednesday, October 16th
(Note change in date due to annoying SAS troubles)
  • Give three possible ideas for the project: one using census data, one using a sample, and one using an experiment
  • Use the data in pg. 307 #7.32. Both by hand and SAS construct a 90% CI for the mean and standard deviation. Use SAS to construct a Q-Q plot and say if the assumptions appear to be met. (You may use SAS or a calculator to determine the mean and standard deviation for the "by hand" part.)
  • Pg. 313: 7.38a-b
6Due: Monday, October 7th
  • Pg. 248: 5.58 b
  • Pg. 272: 6.8 and also
    f) Would s2 be unbiased for sigma2 if we divided by n instead of n-1?
  • Pg. 280: 6.28 a,b
  • For n=18 (df=17), find P(t>2.110) and P(chi2<5.69724)
5Due: Monday, September 23rd
  • Pg. 186: 4.22 part a only
  • Pg. 201: 4.52, also
    f) What is the probability that the psychic would get exactly two correct if they had no ESP?
    g) What is the probability that the psychic would get exactly two correct if they had ESP with p=0.5?
  • Page 234: 5.16 a,d; 5.20 d; 5.24 c
4Due: Friday, September 20th
(Note the later date due to late posting)
  • Pg. 147: 3.62, also
    c) What is P(A intersect B), P(A|B), and P(A U B) if A and B are mutually exclusive.
  • Pg. 171: 3.132
  • Pg. 163: 3.89 Briefly explain your answers and show your work
3Due: Friday, September 13th
  • Consider the set of lengths 2 cm, 4 cm, 7 cm, 8 cm, and 9 cm.
    a) Calculate the mean, median, range, variance and standard deviation by hand.
    b) If you were to add the same number (not 0!) to all of the observations in the data set how would the 5 statistics calculated change?
    c) If you were to multiply all of the observations by the same number (not 0 or 1!) how would the 5 statistics calculated change.
  • Pg. 68: 2.75, explain how you got your answers!
  • Pg. 117: 3.6
2Due: Monday, September 9th For this assignment use the data set in problem 2.100 on page 84.
  1. Using SAS calculate the mean, median, and standard deviation of this data set. (Remember to include a copy of the code you ran and the output.)
  2. In general, would the mean or median be more useful for getting an idea of how much a new graduate would be paid in a given field? Why?
  3. Would you classify any of the reported salaries as outliers? Why or why not?
  4. Use SAS to construct a Q-Q plot for this data. Does the data appear to follow a normal curve for the most part?
  5. Count the number of measurements in the intervals mean +/- s, mean +/- 2s, and mean +/- 3s, and convert these raw counts into percentages.
  6. Compare the percentages found in 5 to the Empirical Rule and Chebyshev's rule. Does this seem reasonable in light of your conclusion in part 4?
1Due: Friday, August 30th
  • Page 17: 1.26 also justify your answer to part d
  • Page 53: 2.48 b-c
    also construct a historgram for this data
    is it skewed? which direction?