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6.12 Margin of error and the confidence interval. A study of stress on the campus of your university reported a mean stress level of 78 (on a 0 to 100 scale with a higher score indicating more stress) with a margin of error of 5 for 95% confidence. The study was based on a random sample of 64 undergraduates more e. The study w (a) Give the 95% confidence interval. (b) If you wanted 99% confidence for the same study, would your margin of error be greater than, equal to, or less than 5? Explain your answer.

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Answer #1

a) as we know that 95% confidence interval =estimated mean -/+ margin of error

=78 -/+ 5 =73 to 83

b)

as for 99% confidence interval critical value for z/t distribution will be higher to compensate for higher confidence therefore margin of error will be higher then 5 as margin of error =z*std error

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