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MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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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 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 data for the sample of families and their two insurance quotes are
reported in the table.
Midstates Car
Gecko Mutual
Family
Becker
Insurance
Insurance
$1,610
1,247
2,327
1,367
1,461
$2,090
Berry
Cobb
1,683
1,402
1,830
Debuck
DuBrul
930
Eckroate
1,789
1,621
1,914
1,956
1,772
1,375
1,527
1,767
1,636
1,188
697
German
1,741
Glasson
1,129
1,018
1,881
1,571
King
Kucic
Meredith
Obeid
874
Price
Phillips
Tresize
1,579
1,577
860
E Click here for the Excel Data File
At the 10 significance level, can we conclude that there is a difference in the amounts quoted?
a. What are the null and alternate hypotheses?
O Ho: Hd=0 H:
O Ho: Ha#0 Hhi Hd=0
O Ho: Hd= 0 H: Hd=0
b. Compute the test statistic. (Negative amounts should be indicated by a minus sign. Round your answer to 3 decimal places.)
Test statistic
Transcribed Image Text: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 data for the sample of families and their two insurance quotes are reported in the table. Midstates Car Gecko Mutual Family Becker Insurance Insurance $1,610 1,247 2,327 1,367 1,461 $2,090 Berry Cobb 1,683 1,402 1,830 Debuck DuBrul 930 Eckroate 1,789 1,621 1,914 1,956 1,772 1,375 1,527 1,767 1,636 1,188 697 German 1,741 Glasson 1,129 1,018 1,881 1,571 King Kucic Meredith Obeid 874 Price Phillips Tresize 1,579 1,577 860 E Click here for the Excel Data File At the 10 significance level, can we conclude that there is a difference in the amounts quoted? a. What are the null and alternate hypotheses? O Ho: Hd=0 H: O Ho: Ha#0 Hhi Hd=0 O Ho: Hd= 0 H: Hd=0 b. Compute the test statistic. (Negative amounts should be indicated by a minus sign. Round your answer to 3 decimal places.) Test statistic
b. Compute the test statistic. (Negative amounts should be indicated by a minus sign. Round your answer to 3 decimal places.)
Test statistic
c. Compute the p-value. NOTE: P-value calculators are available through online search. (Round your answer to 4 decimal places.)
p-value
d. What is your decision regarding the null hypothesis?
O Reject He
O Do not reject Hg
e. Interpret the result.
There is
Ein the mean insurance price.
difference
no difference
Transcribed Image Text:b. Compute the test statistic. (Negative amounts should be indicated by a minus sign. Round your answer to 3 decimal places.) Test statistic c. Compute the p-value. NOTE: P-value calculators are available through online search. (Round your answer to 4 decimal places.) p-value d. What is your decision regarding the null hypothesis? O Reject He O Do not reject Hg e. Interpret the result. There is Ein the mean insurance price. difference no difference
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