Question

3. You are teaching a lab section of a class in which you need to teach the students laboratory methods including collecting data on horse parasites. You know that the weights of these parasites are distributed in a way that is very close to a normal distribution. You require each student to collect 10 horse parasites, weigh them carefully to the nearest hundredth of a gram, and report these data to you. However, you know that although some of the students take the lab seriously, others are either too lazy or too squeamish to colledt real data and try to make up their own data instead. You wish to test how plausible it is that each student collected real data as opposed to making up data. Here are examples of data sets submitted by two students (in weights measured to the nearest hundredth of a gram) Student A: 5.77 3.64 8.23 1.66 703 4.75 5.25 2.90 6.36 4.25 Student B:4.035.95 2.75 7.936.64 2.10 4.69 7.26 3.405.34 For which of these two students is it more plausible that the data are real? Justify your answer in detail

Answer 1

the data for B seems more real as it has lesser deviation

(B-B)2 0.958 0617 . 1.806 to.536 5-77 3.64 8.23 t.66 T-03 4-150.054 S.25 0.07O 2.90 4-343 4-03 5.95 0.885 2.75 1.93 G.61 2.Geo a.Io 4.6 o.108 7.R6 5.067 3 40 5.3 o109 5-103, 8.532 4.186 8-462 a589 36 893 Y.2s 0.538 35.091: Σ 50.09 34.472 ya-BY 乙= BSo.og 頁ー49.gy 5.009 4.989 rL 34-472 35.09 1o = 1-8S6