Question

On a measure with a mean of 10 and a standard deviation of 2, Sumathi scored 13. What proportion of people score farther from the mean than Sumathi?

(Give your answer to at least 3 places past the decimal point)

Answers are not: 0.067, 0.433, 0.933, 0.0668

Help! Please and thank you!

Answer 1

Meen ful) = 10 Stamelard deviation (): 2 score = (x) = 13 escore (for x)= X-4 Preportion This -zscor Zscore proportion is given by using Normal table. New P(x>13) = 1 P(x+13) P(8713) 31-P12€ 13–10) P(x713) - P(Z < 1.5) Now wsing Hormal 0(2415) table 0.9332 O P(x213) - 1-0.9338 Prx>13) = 0.0668 Now this si for fame proportion distance will be above but mean for below mean is standard deviation also to tad proportion is = 2x0.0668 0.1347