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11 Jan 2017, 03:46
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The results from an experiment generated data with a mean of 36 and a standard deviation of 5. Which of the following values is more than 3.5 standard deviations from the mean?
A. 18.0
B. 22.5
C. 41.0
D. 43.5
E. 53.5
A. 18.0
B. 22.5
C. 41.0
D. 43.5
E. 53.5
12 Jan 2017, 00:18
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Bunuel
The results from an experiment generated data with a mean of 36 and a standard deviation of 5. Which of the following values is more than 3.5 standard deviations from the mean?
A. 18.0
B. 22.5
C. 41.0
D. 43.5
E. 53.5
A. 18.0
B. 22.5
C. 41.0
D. 43.5
E. 53.5
3.5σ = 3.5*5 = 17.5
A. |x - µ| = |18 – 36| = 18 > 3.5σ
B. |x - µ| = |22.5 – 36| = 13.5 < 3.5σ
C. |x - µ| = |41 – 36| = 5 < 3.5σ
D. |x - µ| = |43.5 – 36| = 7.5 < 3.5σ
E. |x - µ| = |53.5 – 36| = 17.5 = 3.5σ
Answer A
12 Jan 2017, 22:07
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3.5*SD=3.5*5=17.5
to calculate which value is more than 3.5 SD from means: either the value will be less than 36-17.5 or the value will be greater than 36+17.5
value p < 36-17.5
p< 18.5
as 18<18.5, we don't have to check for other condition.
Answer is A
+1 Kudos if you like the post
to calculate which value is more than 3.5 SD from means: either the value will be less than 36-17.5 or the value will be greater than 36+17.5
value p < 36-17.5
p< 18.5
as 18<18.5, we don't have to check for other condition.
Answer is A
+1 Kudos if you like the post
