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A field test for a new exam was given to randomly selected seniors. The exams were graded, and the sample mean and sample standard deviation were calculated. Based on the results, the exam creator claims that on the same exam, nine times out of ten, seniors will have an average score within 5% of 75%.

Is the confidence interval at 90%, 95%, or 99%? What is the margin of error? Calculate the confidence interval and explain what it means in terms of the situation.

Question

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A field test for a new exam was given to randomly selected seniors. The exams were graded, and the sample mean and sample standard deviation were calculated. Based on the results, the exam creator claims that on the same exam, nine times out of ten, seniors will have an average score within 5% of 75%.

Is the confidence interval at 90%, 95%, or 99%? What is the margin of error? Calculate the confidence interval and explain what it means in terms of the situation.

rocklionmba · Answer

@amistre64 @TheSmartOne

kropot72 · Answer

A p% confidence interval for the population mean is an interval such that on average, p out of every 100 such intervals will contain the population mean.
You should be able to use the above definition to determine the value of the confidence interval.

kropot72 · Answer

The margin of error is the distance between the center of a confidence interval to the end of the interval ( a quantity half the width of the confidence interval).