A study based on a sample of size 49 reported a mean of 89 with a margin of erro
ID: 3374641 • Letter: A
Question
A study based on a sample of size 49 reported a mean of 89 with a margin of error of 15 for 95% confidence. (a) Give the 95% confidence interval. 84.69X93.31>X (b) If you wanted 99% confidence for the same study, would your margin of error be greater than, equal to, or less than 15? Explain your answer. O The confidence level should never be changed for the same study 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 15. 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 greater than 15. A wider 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 15. The margin of error will not change when the confidence level is increased.Explanation / Answer
Solution
a) 95% Confidence interval = mean +- Margin of error
= (89 +- 15) = (74,104)
b) option d
The new margin of error would be greater than 15. a wider margin of error needed to be more confident that the interval includes the true mean
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.