anonymous
  • anonymous
PLEASE HELP I HAVE BEEN IGNORED FOR MY LAST SIMILAR QUESTION 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 4% of 70%. 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.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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anonymous
  • anonymous
Do you think you could help me @ganeshie8 ?
anonymous
  • anonymous
Or @zepdrix ?
kropot72
  • kropot72
A 95% confidence interval for the population mean is an interval such that on average, 95 out of every 100 such intervals will contain the population mean. Does this help you to make the correct choice of answer.

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anonymous
  • anonymous
Sorry had to step away for a sec
kropot72
  • kropot72
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).
anonymous
  • anonymous
So the confidence interval is 90%, but what would that be in this situation?
kropot72
  • kropot72
A 90% confidence interval for the population mean is an interval such that on average, 90 out of every 100 such intervals will contain the population mean.
kropot72
  • kropot72
What is 4% of 70%? That will give you the Margin of Error.
anonymous
  • anonymous
2.8%
kropot72
  • kropot72
Correct.
anonymous
  • anonymous
So my answer is the confidence interval is 90% and the margin of error is 2.8%. Thank you! This part always confuses me!
kropot72
  • kropot72
You're welcome :) The confidence interval is: (70 - 2.8)%, (70 + 2.8)%
anonymous
  • anonymous
Also, thank you for helping so late at night :P
kropot72
  • kropot72
You're most welcome :)

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