1. Part of an ANOVA table is shown below. Source of Variation  Sum of Degrees of Mean F Squares Freedom Square Between treatments  90  3  ?    ? Within treatments (Error) 120 20 ? Total  ?    ? a. Compute the missing values and fill in the blanks in the above table. Use α = .01 to determine if there is any significant difference among the means. b.  How many groups have there been in this problem? c.  What has been the total number of observations? 2. The sales records of a major auto manufacturer over the past 10 years are shown below. Number of Cars Sold Year ( t ) (in 1000s of Units) 1 195 2 200 3 250 4 270 5 320 6 380 7 440 8 460 9 500 10 500 Develop a linear trend expression and project the sales (the number of cars sold) for time period t = 11. 3. The following data represent the number of flash drives sold per day at a local computer shop and their prices. Price ( x ) Units Sold   ( y ) $34 3 36 4 32 6 35 5 30 9 38 2 40 1 a.  Perform an F test and determine if the price and the number of flash drives sold are related. Let α = .01. b.  Perform a t test and determine if the price and the number of flash drives sold are related. Let α = .01. 4. In a completely randomized experimental design, 14 experimental units were used for each of the five levels of the factor (i.e., five treatments). Fill in the blanks in the following ANOVA table. Source of Variation  Sum of Degrees of Mean F Squares Freedom Square Between treatments  ?    ?  800.00  ? Within treatments (Error) ? ? ? Total  10,600  ? 5. Halls, Inc. has three stores located in three different areas. Random samples of the sales of the three stores (In $1,000s) are shown below. Store 1 Store 2 Store 3 46 34 33 47 36 31 45 35 35 42 39 45 At a 5% level of significance, test to see if there is a significant difference in the average sales of the three stores. 6. The marketing department of a company has designed three different boxes for its product. It wants to determine which box will produce the largest amount of sales. Each box will be test marketed in five different stores for a period of a month. Below is the information on sales. Store 1 Store 2 Store 3 Store 4 Store 5 Box 1 210 230 190 180 190 Box 2 195 170 200 190 193 Box 3 295 275 290 275 265 a.  State the null and alternative hypotheses. b.  Construct an ANOVA table. c.  What conclusion do you draw? 7. Three different brands of tires were compared for wear characteristics. For each brand of tire, 10 tires were randomly selected and subjected to standard wear testing procedures. The average mileage obtained for each brand of tire and sample standard deviations (both in 1000 miles) are shown below. Brand A Brand B B ...

1. 1. Part of an ANOVA table is shown below.
Source of Variation Sum of
Degrees of
Mean
F
Squares
Freedom
Square
Between treatments 90 3

2. ? ?
Within
treatments (Error)
120
20
?
Total
? ?
a. Compute the missing values and fill in the blanks in the
above table. Use
α
= .01 to determine if there is any significant difference among
the means.
b. How many groups have there been in this problem?
c. What has been the total number of observations?
2. The sales records of a major auto manufacturer over the past

3. 10 years are shown below.
Number
of
Cars
Sold
Year
(
t
)
(in 1000s
of
Units)
1
195

4. 2
200
3
250
4
270
5
320
6
380

5. 7
440
8
460
9
500
10
500
Develop a linear trend expression and project the sales (the
number of cars sold) for time period
t
= 11.
3. The following data represent the number of flash drives sold
per day at a local computer shop and their prices.

6. Price
(
x
)
Units
Sold (
y
)
$34
3
36
4
32
6

7. 35
5
30
9
38
2
40
1
a. Perform an
F
test and determine if the price and the number of flash drives
sold are related.
Let
α
= .01.
b. Perform a

8. t
test and determine if the price and the number of flash drives
sold are related.
Let α = .01.
4. In a completely randomized experimental design, 14
experimental units were used for each of the five levels of the
factor (i.e., five treatments). Fill in the blanks in the following
ANOVA table.
Source of Variation Sum of
Degrees of
Mean
F
Squares
Freedom
Square

9. Between treatments
? ? 800.00 ?
Within
treatments (Error)
?
?
?
Total 10,600 ?
5. Halls, Inc. has three stores located in three different areas.
Random samples of the sales of the three stores (In $1,000s)
are shown below.
Store
1

10. Store
2
Store
3
46
34
33
47
36
31
45
35

11. 35
42
39
45
At a 5% level of significance, test to see if there is a significant
difference in the average sales of the three stores.
6. The marketing department of a company has designed three
different boxes for its product. It wants to determine which box
will produce the largest amount of sales. Each box will be test
marketed in five different stores for a period of a month. Below
is the information on sales.
Store
1
Store

12. 2
Store
3
Store
4
Store
5
Box 1
210
230
190
180
190

13. Box 2
195
170
200
190
193
Box 3
295
275
290
275

14. 265
a. State the null and alternative hypotheses. b. Construct an
ANOVA table.
c. What conclusion do you draw?
7. Three different brands of tires were compared for wear
characteristics. For each brand of tire, 10 tires were randomly
selected and subjected to standard wear testing procedures. The
average mileage obtained for each brand of tire and sample
standard deviations (both in 1000 miles) are shown below.
Brand
A
Brand
B
Brand
C
Average mileage

15. 37
38
33
Sample variance
3
4
2
Use the above data and test to see if the mean mileage for all
three brands of tires is the same. Let
α
= .05.
8. John has collected the following information on the amount
of tips he received from parking cars the last seven nights.
Day

16. Tips
1
18
2
22
3
17
4
18
5
28

17. 6
20
7
12
a. Compute the three-day moving averages for the time series.
b. Compute the mean square error for the forecasts.
c. Compute the mean absolute deviation for the forecasts.
9. The Very Fresh Juice Company has developed a regression
model relating sales (
y
in $10,000s) with four independent variables. The four
independent variables are price per unit (
x
1, in dollars), competitor's price (
x
2, in dollars), advertising (
x
3, in $1000s), and type of container used (
x
4) (1 = Cans and 0 = Bottles). Part of the regression results is
shown below.

18. Source of
Degrees of
Sum of
Mean
Variation
Freedom
Squares
Square
F
Regression 4 283,940.60
Error
18
621,735.14

19. Total
a. Compute the coefficient of determination and fully interpret
its meaning.
b. Is the regression model significant? Explain what your
answer implies. Let
α
= .05. c. What has been the sample size for this analysis?
10. The prices of Rawlston, Inc. stock (
y
) over a period of 12 days, the number of shares (in 100s) of the
company's stocks sold (
x
1), and the volume of exchange (in millions) on the New York
Stock Exchange (
x
2) are shown below.
Day
(
y
)
(
x
1)

20. (
x
2)
1
87.50
950
11.00
2
86.00
945
11.25
3
84.00

21. 940
11.75
4
83.00
930
11.75
5
84.50
935
12.00
6

22. 84.00
935
13.00
7
82.00
932
13.25
8
80.00
938
14.50

23. 9
78.50
925
15.00
10
79.00
900
16.50
11
77.00
875

24. 17.00
12
77.50
870
17.50
Excel was used to determine the least squares regression
equation. Part of the computer output is shown below.
ANOVA
df
SS
MS
F
Significance
F

25. Regression 2 118.8474 59.4237 40.9216 0.0000
Residual 9 13.0692 1.4521
Total
11 131.9167
Coefficients Standard Error t Stat P-value
Intercept 118.5059 33.5753 3.5296 0.0064
(
x
1) –0.0163 0.0315 –0.5171 0.6176 (
x
2) –1.5726 0.3590 –4.3807 0.0018
a. Use the output shown above and write an equation that can be
used to predict the price of the stock.
b. Interpret the coefficients of the estimated regression
equation that you found in part (a). c. At 95% confidence,
determine which variables are significant and which are not.
If on a given day, the number of shares of the company that
were sold was 94,500 and the
d. volume of exchange on the New York Stock Exchange was 16
million, what would you expect the price of the stock to be?