Explaining margin of error in confidence level

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Reference no: EM1318467

1) When we say we have confidence level of 95% what do you believe our "margin of error" is? 

 

2) If we move level of confidence from 95 to 99%, what will occur to our margin of error? What will occur to width of our confidence interval?

 

3) Would we have got better feel for amount of flour required if we'd used larger sample? Why (mathematically) would this occur?

 

4) President of American insurance Institute wishes to compare yearly costs of auto insurance offered by two leading companies. He chooses a sample of 15 families some with only single insured driver, others with many teenage drivers, and pays each family a stipend to contact two companies and ask for price quote. To make data comparable, certain features, like the deductible amount and limits of liability, are standardized. Sample information is reported below. At 0.10 significance level, can we conclude that there is difference in 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

Oennan

1,741

1,621

Glasson

1,129

1,914

King

1,018

1,956

Kucic

1,881

1,777

Meredith

1,571

1,375

Obeid

874

1,527

Poice

1,579

1,767

Phillips

1,677

1,636

Tresize

860

1,188

Reference no: EM1318467

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