For the past 20 years, the high temperature on april 15th has averaged µ = 62 degrees with a standard deviation of σ = 8. Last year, the high temperature was 66 degrees. Based on this information, last year's temperature on april 15th was____.
A. a little above average
B. far above average
C. Above average, but exact value cant be measured
D. Cant be determined
(The correct answer is A)
2006-10-15 14:08:52 · 5 answers · asked by .......... 4 in Science & Mathematics ➔ Mathematics
Problems like this can be assessed using the Z-score. This should be one of the first things covered in a beginning stats course. Computing this score will give you an assessment of how far a score, X, is from the average. Z = (X - u)/s, here u=62 and s=8 and X=66, Z = (66 - 62)/8 = 1/2. Generally, Z scores over 1.96 would be considered high, as this is the bound of an unusual event. Since Z= 1/2, "A" is correct, a little above average, since Z is greater than 0 but less than 1.96. You will find all this in a stats text book.
2006-10-15 14:27:51 · answer #1 · answered by Action 4 · 1⤊ 0⤋
The answer is A because the average over the last 20 years has been 62. This year it is 66.
As such, it is a little above average.
Regards,
Mysstere
2006-10-15 21:15:34 · answer #2 · answered by mysstere 5 · 0⤊ 1⤋
65% of data falls within mean-sigma,mean+sigma. (62-8,62+8) =(54,70) this interval contains 65% of data so if you get 66 degrees its above the mean, but very reasonable, so the answer is A
2006-10-15 21:16:20 · answer #3 · answered by ETG 1 · 1⤊ 0⤋
D. the exact value cant be determined
2006-10-15 21:19:21 · answer #4 · answered by raj 7 · 0⤊ 1⤋
kindly look up Z-scores and see for yourself.
2006-10-15 22:34:33 · answer #5 · answered by JoseABDris 2 · 0⤊ 1⤋