1) Exhibit 13-4 In a completely randomized experimental design involving five treatments, 13 observations were recorded for each of the five treatments. The following information
1) Exhibit 13-4 In a completely randomized experimental design involving five treatments, 13 observations were recorded for each of the five treatments. The following information is provided. SSTR = 200 (Sum Square Between Treatments) SST = 800 (Total Sum Square) If at a 5% level of significance we want to determine whether or not the means of the five populations are equal, the critical value of F is _____.
a. 2.53
b. 4.98
c. 39.48
d. 19.48
2) Exhibit 14-3 Regression analysis was applied between sales data (in $1000s) and advertising data (in $100s), and the following information was obtained.
= 12 + 1.8x
n = 17
SSR = 225
SSE = 75
Sb1 = 0.2683
Refer to Exhibit 14-3. Using = .05, the critical t value for testing the significance of the slope is _____.
a. 1.753
b. 1.746
c. 2.131
d. 2.120
3) Exhibit 15-6 Below you are given a partial Excel output based on a sample of 16 observations.
ANOVA
df
SS
MS
F
Regression
4,853
2,426.5
Residual
485.3
Coefficients
Standard Error
Intercept
12.924
4.425
x1
-3.682
2.630
x2
45.216
12.560
The F value obtained from the table used to test if there is a relationship among the variables at the 5% level equals _____.
a. 3.63
b. 19.41
c. 3.81
d. 3.41
4) In a completely randomized experimental design involving six treatments, 11 observations were recorded for each of the six treatments. The following information is provided. SSTR = 400 (Sum Square Between Treatments) SST = 700 (Total Sum Square) The mean square within treatments (MSE) is _____.
a. 400
b. 80
c. 300
d. 5
5) The management of a department store is interested in estimating the difference between the mean credit purchases of customers using the store's credit card versus those customers using a national major credit card. You are given the following information. Assume the samples were selected randomly.
Store's Card
Major Credit Card
Sample size
64
49
Sample mean
$130
$115
Population standard deviation
$15
$9
A 95% confidence interval estimate for the difference (Store's Card - Major Credit Card) between the average purchases of the customers using the two different credit cards is _____.
a. $10.54 to $19.46
b. $115 to $130
c. $49 to $64
d. $9 to $15
6)
Sample A
Sample B
s2
22
25
n
10
8
We want to test the hypothesis that population B has a smaller variance than population A. The null hypothesis is to be tested at the 5% level of significance. The critical value from the table is _____.
a. 3.07
b. 3.35
c. 3.29
d. 3.68
7)
Sample A
Sample B
s2
32
38
n
24
16
We want to test the hypothesis that the population variances are equal.
The null hypothesis is to be tested at the 10% level of significance. The critical value from the table is _____.
a. 2.11
b. 2.13
c. 2.24
d. 2.29
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