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.0000 Sprint 6:09 PM 63%) myopenmath.com Show Intro/Instructions Questions Q 1 [

ID: 3158564 • Letter: #

Question

.0000 Sprint 6:09 PM 63%) myopenmath.com Show Intro/Instructions Questions Q 1 [10/101/ Q2 [10/10] VQ3 [10/10] C Q 10 (8/10) Q 1 1 [10/101 Q 12 [10110] C Q 13 (0/10)Q 14 [10/10] C Q 15 (0/10) Q 16 [10/10] C Q 17 (0/10) C Q 18 (0/10) Q 19 [10/10] Q 20 [10/10]Q 21 [10/10] Grade: 128/210 Print Version In a survey, 27 people were asked how much they spent on their child's last birthday gift. The results were roughly bell-shaped with a mean of S30 and standard deviation of $10. Find the margin of error at a 99% confidence level Give your answer to two decimal places. 2.576 Points possible: 10 Unlimited attempts Score on last attempt: 0. Score in gradebook: 0 Message instructor about this question License Submit

Explanation / Answer

The standard error of mean is:

Sm=Root over s^2/n

=root over10 ^/27

=1.92

The margin of error is:

t(0.99,26)*Sm

=2.779*1.92

=5.34

The CI is: 13.1%<p<30.5%

The margin of error is: (30.5-13.1)/2%=8.7%

Thus the p^+/-ME

=21.8+/-8.7