A study of stress on the campus of your university reported a mean stress level
ID: 3058059 • Letter: A
Question
A study of stress on the campus of your university reported a mean stress level of 73 (on a 0 to 100 scale with a higher score indicating more stress) with a margin of error of 6 for 95% confidence. The study was based on a random sample of 81 undergraduates. (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 6? Explain your answer. O It is impossible to determine if the margin of error will change using the information given. O The new margin of error would be less than 6. A smaller margin of error is needed to be more confident that the interval includes the true mean. O The new margin of error would be equal to 6. The margin of error will not change when the confidence level is increasec. O The new margin of error would be greater than 6. A larger margin of error is needed to be more confident that the interval includes the true mean O The confidence level should never be changed for the same study.Explanation / Answer
A study of stress on the campus of your university reported a mean stress level of 73 (on a 0 to 100 scale with a higher score indicating more stress) with a margin of error of 6 for 95% confidence. The study was based on a random sample of 81 undergraduates. (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 6? Explain your answer. O It is impossible to determine if the margin of error will change using the information given. O The new margin of error would be less than 6. A smaller margin of error is needed to be more confident that the interval includes the true mean. O The new margin of error would be equal to 6. The margin of error will not change when the confidence level is increasec. O The new margin of error would be greater than 6. A larger margin of error is needed to be more confident that the interval includes the true mean O The confidence level should never be changed for the same study.
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