Consider the following situation to answer questions 3 through 10. Three brands
ID: 3365295 • Letter: C
Question
Consider the following situation to answer questions 3 through 10.
Three brands of batteries are under study. It is suspected that the lives (in weeks) of the three brands are different. Five batteries of each brand are tested with the following results:
Weeks Of Battery Life
1. The nearest value of the total sum of squares (SST) is: (Multiple Choice)
a. 1872
b. 1383
c. 1196
d. 2507
2. What is the Nearest value of y2/N? (Multiple Choice)
a. 8495
b. 126042
c. 630823
d. 37815
3. How many degrees of freedom correspond to the error? (Multiple Choice)
a. 12
b. 5
c. 4
d. 2
4. What is the mean of squares of these batteries? (Multiple Choice)
a. 398.71
b. 1196.1
c. 598.1
d. 299.0
5. Are the lives of these brands of batteries different? (Multiple Choice)
a. No, Fo > F
b. Yes, Fo < F
c. Yes, Fo > F
d. No, Fo < F
6. Analyze the residuals from this experiment. Are the assumptions of NID(0,2) reasonable? (i.e., normality, independence, mean of zero, and equal variances)(Multiple Choice)
a. No, residuals do not seem to have equal variances
b. No, residuals are not normally distributed
c. No, residuals are N(0,2) but not independent
d. Yes, residuals are NID(0,2)
7. Construct a 95 percent confidence interval on the mean difference between the lives of battery brands two and three. The nearest values for the confidence interval are: (Multiple Choice)
a. 95% CI = (-0.78, 11.18)
b. 95% CI = (-27.31,-14.69)
c. 95% CI = (86, 96)
d. 95% CI = (14.69, 27.31)
8. Which brand would you select for use? (Multiple Choice)
a. Battery three
b. Battery one
c. Battery two
d. Any battery
Battery 1 2 3 4 5 Brand 1 100 96 92 96 92 Brand 2 76 80 75 84 82 Brand 3 108 100 96 98 100Explanation / Answer
We are allowed to do 4 subparts question at a time. Post again for more subparts of question.
One-way ANOVA: Lives versus Brand
Source DF SS MS F P
Brand 2 1196.1 598.1 38.34 0.000
Error 12 187.2 15.6
Total 14 1383.3
S = 3.950 R-Sq = 86.47% R-Sq(adj) = 84.21%
1) SST = 1383
2) y2/N = d. 37815
3) 12
4)
c. 598.1