QUESTION 1:
A senior analyst working for Ameritrade has reviewed purchases his customers have made over the last six months. He has categorized the mutual funds purchased into eight categories: (1) Aggressive Growth (AG) - (2) Growth (G) - (3) Growth-Income (G-I) - (4) Income Funds (IF) - (5) International (I) - (6) Asset Allocation (AA) - (7) Precious Metal (PM) - (8) Bond (B).
The percentage gains (%) accrued by 3 randomly selected customers (C1, C2 and C3) in each group are as follows:
|
Mutual Fund
|
AG
|
G
|
G-I
|
IF
|
I
|
AA
|
PM
|
B
|
|
C1
|
6
|
7
|
5
|
1
|
14
|
-3
|
5
|
-1
|
|
C2
|
7
|
-2
|
6
|
0
|
13
|
7
|
7
|
3
|
|
C3
|
12
|
0
|
2
|
6
|
10
|
7
|
5
|
2
|
- Develop the appropriate ANOVA table to determine if there is a difference in the average percentage gains accrued by his customers among the mutual fund types. Use a significance level of 0.05.
- Use the Tukey-Kramer procedure to determine which mutual fund type has the highest average percentage gain. Use an experiment-wide error rate of 0.05.
QUESTION 2:
During the recession that began in 2008, not only did some people stop making house payments, but they also stopped making payments for local government services such as trash collection and water and sewer services. The following data have been collected by an accountant who is performing an audit of account balances for a major city billing department. The population from which the data were collected represents those accounts for which the customer had indicated the balance was incorrect. The dependent variable, y, is the actual account balance as verified by the accountant. The independent variable, x, is the computer-generated account balance.
|
X
|
233
|
10
|
24
|
56
|
78
|
102
|
90
|
200
|
344
|
120
|
18
|
|
Y
|
245
|
12
|
22
|
56
|
90
|
103
|
85
|
190
|
320
|
120
|
23
|
- Compute the least squares regression equation.
- If the computer-generated account balance was 100, what would you expect to be the actual account balance as verified by the accountant?
- The computer-generated balance for Timothy Jones is listed as 100 in the computer-generated account record. Calculate a 90% interval estimate for Mr. Jones's actual account balance.
- Calculate also a 90% interval estimate for the average of all customers' actual account balances in which a computer-generated account balance is the same as that of Mr. Jones (part c). Interpret your results.