Assignment:
Q1. The president of the American Insurance Institute wants to compare the yearly costs of auto insurance offered by two leading companies. He selects a sample of 15 families, some with only a single insured driver, others with several teenage drivers, and pays each family a stipend to contact the two companies and ask for a price quote. To make the data comparable, certain features, such as the deductible amount and limits of liability, are standardized. The sample information is reported below. At the .10 significance level, can we conclude that there is a difference in the amounts quoted?
|
Family
|
Progressive Car Insurance
|
GEICO Mutual Insurance
|
|
Becker
|
$2,090
|
$1,610
|
|
Berry
|
1,683
|
1,247
|
|
Cobb
|
1,402
|
2,327
|
|
Debuck
|
1,830
|
1,367
|
|
DuBrul
|
930
|
1,461
|
|
Eckroate
|
697
|
1,789
|
|
German
|
1,741
|
1,621
|
|
Glasson
|
1,129
|
1,914
|
|
King
|
1,018
|
1,956
|
|
Kucic
|
1,881
|
1,772
|
|
Meredith
|
1,571
|
1,375
|
|
Obeid
|
874
|
1,527
|
|
Price
|
1,579
|
1,767
|
|
Phillips
|
1,577
|
1,636
|
|
Tresize
|
860
|
1,188
|
Q2. A real estate agent in the coastal area of Georgia wants to compare the variation in the selling price of homes on the oceanfront with those one to three blocks from the ocean. A sample of 21 oceanfront homes sold within the last year revealed the standard deviation of the selling prices was $45,600. A sample of 18 homes, also sold within the last year, that were one to three blocks from the ocean revealed that the standard deviation was $21,330. At the .01 significance level, can we conclude that there is more variation in the selling prices of the oceanfront homes?
Q3. The following is a partial ANOVA table.
|
Source
|
Sum of Squares
|
df
|
Mean Square
|
F
|
|
Treatment
|
|
2
|
|
|
|
Error
|
|
|
20
|
|
|
Total
|
500
|
11
|
|
|
Complete the table and answer the following questions. Use the .05 significance level.
- How many treatments are there?
- What is the total sample size?
- What is the critical value of F?
- Write out the null and alternate hypotheses.
- What is your conclusion regarding the null hypothesis?
Q4. In a particular market there are three commercial television stations, each with its own evening news program from 6:00 to 6:30 P.M. According to a report in this morning's local newspaper, a random sample of 150 viewers last night revealed 53 watched the news on WNAE (channel 5), 64 watched on WRRN (channel 11), and 33 on WSPD (channel 13). At the .05 significance level, is there a difference in the proportion of viewers watching the three channels?
|
Gift
|
Frequency
|
|
Sweatshirt
|
183
|
|
Coffee cup
|
175
|
|
Earrings
|
142
|
Q5. There are four entrances to the Government Center Building in downtown Philadelphia. The building maintenance supervisor would like to know if the entrances are equally utilized. To investigate, 400 people were observed entering the building. The number using each entrance is reported below. At the .01 significance level, is there a difference in the use of the four entrances?
|
Entrance
|
Frequency
|
|
Main Street
|
140
|
|
Broad Street
|
120
|
|
Cherry Street
|
90
|
|
Walnut Street
|
50
|
|
Total
|
400
|