Tuesday, January 08, 2008

Unit I review answers

1.  The center is at 2.1 hurricanes.  The spread is an IQR of 3 ( 4 - 1), with a range of 7 (7 - 0).  The shape is skewed right.

2a.  increase;  b.  same;  c.  inc.;  d.  same;  e.  inc.

3a.  Since the data is skewed right (draw a little box-plot using the 5 # summary to see this clearly), the mean will be greater than the median.  It is pulled up by the skewness.

3b.  IQR = 3.3 - 2.8 = 0.5
1.5*IQR = 1.5*0.5 = 0.75
2.8 - 0.75 = 2.05 is the lower outlier fence
3.3 + 0.75 = 4.05 is the upper outlier fence

SO:  4.2 is a high outlier and the other two fish are not outliers.

Chapter 6 #25 is odd!  Check is carefully!  Here's a little work:
25b)  z = 0.5;  0.5 is the lower bound and 999 is upper
25c)  lower bound = z = -1.583 and upper bound = z = -0.75
25d)  invnorm(0.25) = - 0.674 = z;  invnorm(0.75) = z = 0.674;  then do algebra to find Q1 and Q3;  IQR = Q3 - Q1

1.  Who = 200 adults
What:  education level and smoking habits
When:  ??
Where:  mall
How:  ??
Why: ??

2.  two categorical variables:  education level and smoking status

3a.  32/200 = 16%;  b.  32/93 = 34.4%;  c.  32/50 = 64%

4.  2 bars:  one for smokers and one for non.  The bars should both add to 100%.  The HS part of smoker bar should be 64%, whereas the 4+ non should be the biggest (48%).

5.  These data provide evidence of an association between smoking and education level.  64% of smokers had only a hs diploma, whereas 40.7% of non-smokers had only a hs diploma.

6.  We have no idea if the behavior changes over time.  This data was only taken at one point in time.