**STA 310 Assignment 1 Fall 2013, Due at end of class September 12, 2013**

**Use SAS for problems 1 & 2 (see IntroExsAug29.sas for similar examples). Show work in questions 3,4 (including how the problem was started/recognized). If a calculator is used for a final step, state that it has been used.**

Descriptive Displays, Interpretation & SAS

1. See the description of the FEV data set on p. 35 of your text. It is posted on BlackBoard in the Assignments folder as FEVAssign1F13

Each part is worth 10 points,

Bring this data into SAS. You may copy or paste it into a data step or use an infile statement

a) Investigate and interpret the relative frequencies of smoking status across gender using an appropriate two-way table. Create a binary variable called Youth which is 1 if the individual is les than 16 and 0 otherwise. Investigate and interpret the relative frequencies of smoking status across youth categories with a similar table.

b) Use appropriate numerical and graphical displays to compare both HEIGHT and FEV by gender. As part of your comparison, discuss distributional shape and two measures of center and spread for each gender.

c)Use PROC SGPLOT (one of the newer statistical graphics procedures in SAS) to produce a scatterplot of FEV versus height with gender as the grouping character. Briefly interpret what you see in the plot. (see last example of IntroEXs.sas or first example of documentation).

2. Input the data of Table 2.18 (page 37) into a data step. Use weight as the response variable and character variable INOC (with values I, U) for your grouping variable. Each part below is worth 8 points

a) Use a single SAS procedure the compute the sample mean, sample median, quartiles, minimum and maximum of each group.

b) Look up PROC BOX PLOT in the SAS Documentation. Create side-by-side boxplots using SAS and note how the values from a) appear in your display. Investigate whether the boxstyle= schematic option on the PLOT statement impacts your perspective.

c) Use SAS to produce an additional graphical display (eg. histogram, stem plot) and combine it with part (b) to create a written comparison of the two distributions in 2-3 sentences. What are appropriate measure of center and variation for each group ? Briefly explain.

3. **Binomial Distribution Exercises**: If using a calculator with the binomial pmf programmed within, still show what at least one term in the (probability) sum would look like.

Text problems 4.9, 4.10, 4.14, 4.15, 4.46 (Each part is worth 6 points, show your work)

4. **Poisson Distribution**. If using a calculator with the Poisson pmf programmed within , still show what at least one term in the (probability) sum would look like.

4.23,4.24 (for 4.23 and 4.24, consider a probability less than .05 to be unusual), 4.26

(5 points, 5 points, 6 points respectively.)

Subject | Mathematics |

Due By (Pacific Time) | 09/12/2013 12:00 am |

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