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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 driven others with several teenage drivers, and pays each family as 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
8,60
1,188
An SRS of 100 of a certain popular model car in 1993 found that 20 had a certain minor defect in the brakes. An SRS of 400 of this model car in 1994 found that 50 had the minor defect in the brakes. Let p1 and p2 be the proportion of all cars of t..
Using the data file below, construct a histogram and a frequency polygon. Describe the shape of this distribution.
Find a 90% confidence interval for the difference between the proportion of men and the proportion of women who approved of Reagan's performance. What assumption do you make to use this method?
Determine the mean number of times the machine was used per day.
Given that P (A) = 0.7, P (B) = 0.5, and P (A B) = 0.8. Find the following probabilities:
State the appropriate set of hypothesis to test whether there is a relationship between the variables X and Y.
A study of cardiovascular risk factors compared heavy smokers, light smokers, and nonsmokers. Both men and women were included in the study so that the two factors are smoking level and gender.
Test the claim that the mean age of the prison population in one city is less than 26 years. Sample data are summarized as n = 25, x = 24.4 years, and s = 9.2 years. Use a significance level of α = 0.05.
If p denotes the p -value of the corresponding hypothesis test, which of the following is true?
Then explain your answer to someone who has never had course in statistics (but who is familiar with mean, standard deviation, and Z scores.)
At the 5% significance level, if the sample proportion is .45, and the standard error of the sample proportion is .035, the appropriate conclusion would be:
Determine the probability that their SAT scores will differ by more than 50 points?
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