STAT 481 -- Spring 2016

Homework

1. Section 4.3 - 1, 3, Section 4.4 - 6. Due on Jan. 22.

R project #1: Generate 500 random samples of size n=40 from a Poisson distribution with mean λ=8, and calculate sample means for each sample. Draw a histogram of the sample means and fit a density estimate curve. What is your conclusion about the sampling distribution of the sample mean? Based on this distribution, construct a confidence interval for mean λ.

[Note: Please attach your code and output. Put everything on one page.]

2. Section 4.5 - 3, 6, and Section 4.6 - 1, 5, 9. Due on Jan. 29.

3. Section 4.6 - 6, and Section 4.7 - 1, 2, 3. Due on Feb. 5.

4. Section 4.7 - 5, 8, and Section 8.1 - 2. Due on Feb. 12.

R project #2: a). Use R to complete the assignment in Section 4.7 -6; b). Please draw a qq-plot and comment about your findings; c). Choose a nonparametric test for the normality check and interpret the results; d). Are these three procedures leading to the same conclusions about the normality of the data? [Data: strength]

5. Section 8.1 - 7(Graduate only), 8, and Section 8.2 - 1, 2 (only 8.1-3), 3. Due on Feb. 26.

6. Section 8.2 - 5(a), (b), Section 8.3 - 3, 5. Due on March 4.

R/SAS Project # 3: Section 8.3 - 6. [Data: cars]

7. Section 6.1 - 1, 3, 8 (only show (a)-(b) for the balanced case), 9. Due on March 11.

8. Section 6.2 - 2, 3, 6. Due on April 1.

9. Section 8.4-2, 3 and Section 8.5-1. Due on April 8.

R/SAS Project # 4: Section 8.5 - 5. [Data: Soil Sample]

10. Section 6.3 - 1, 2. (You can use R or SAS for these questions). Derive E(MS_Block). Section 7.1 - 1. Due on April 15.

11. Section 7. 1- 3, 9, and extra problem. Due on April 22.

12. Practice Problems: Section 7.2 - 2(a), 3, and Section 7.3 - 1, 3.

Back to STAT 481 Course Webpage