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Secure https://www.mathxl.com/Student/Player Test aspx?testid 151219673¢enwin; yes BUSA 2100 B Spring 2017 Zachary Bradshaw 5/3/17 10:45 AM Test: Final Exam Time Remaining: 01:45:30 Submit Test This Question: 4 pts 18 of 21 (0 complete This Test: 117 pts possible E Question Help A survey of 25 randomly selected customers found the ages (in years). The m is 3280 years and the standard deviation is 10.19 years shown 26 34 33 32 30 a) What is the standard error of the mean? 31 29 46 15 31 b) How would the standard error change if the sample size had been 225 39 39 24 10 34 change) instead of 25? e that the sample standard deviation didnt 21 44 28 44 49 a) The standard error of the mean is (Round to two decimal places as needed) b) How would the standard error change if the sample size was 25 instead of 25 with the same sample standard deviation? Select the correct choice below and fill in any answer boxes within your choice. o A. The standard error would increase The new standard error would be times the old O B. The standard error would decrease. The new standard emor would be the old standard error divided by O C. The standard error would not change. Click to select your answer(s) TMati eaExplanation / Answer
(a) Standard error of the mean = standard deviation/sqrt(n) = 10.19/sqrt(25) = 2.04
(b) Standard error of the mean = standard deviation/sqrt(n)
Old Standard error of the mean = standard deviation/sqrt(25) = standard deviation/5
New Standard error of the mean = standard deviation/sqrt(225) = standard deviation/15
= (Old Standard error of the mean)/3
The correct option is B, The standard error would decrease. The new standard error would be the old standard error divided by 3.
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