Question 21 of 21 (1 point) Time to review: The following table presents the tim

Question

Question 21 of 21 (1 point) Time to review: The following table presents the time taken to review articles that were submitted for publication to a particular journal during a recent year. A few articles took longer than 6 months to review; these are omitted from the table. Consider the data to be a population Time (Months) 0.0-0.9 1.0-1.9 2.0-2.9 3.0-3.9 4.0-4.9 5.0-5.9 Number of Articles 42 19 16 20 15 Download data a. Approximate the variance of the times. Round the answer to two decimal places The variance is b. Approximate the standard deviation of the times. Round the answer to two decimal places. The standard deviation is

Explanation / Answer

following information has been generated using ms-excel

E(x)=sum(fx)/sum(f)=285.35/123=2.32

E(x2)= =sum(fx2)/sum(f)=1045.908/123=8.50

(a) variance=E(x2)-(E(x))2=8.5-2.32*2.32=3.12

(b) standard deviation=sqrt(variance)=sqrt(3.12)=1.77

Time mid-value(x) number of atriles(f) f*x f*x2 0.0- 0.9 0.45 42 18.9 8.505 1.0-1.9 1.45 19 27.55 39.9475 2.0-2.9 2.45 16 39.2 96.04 3.0-3.9 3.45 20 69 238.05 4.0-4.9 4.45 11 48.95 217.8275 5.0-5.9 5.45 15 81.75 445.5375 sum= 123 285.35 1045.908

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