You are a fancy engineer at a water treatment company. You’ve asked two interns
ID: 3273214 • Letter: Y
Question
You are a fancy engineer at a water treatment company. You’ve asked two
interns to make you six batches each of a reagent that you need to use in a
water treatment process. You want to now figure out which of the two interns
Intern Reagent concentrations (mg/1) #1 | 40.1 45.8 46.7 41.6 33.1 18.8 #2 | 57.4 29.1 23.6 26.2 17.5 71.4 a) Calculate the mean and standard deviation of each of the batches of reagents. Each batch is listed in the table rows. b) Which intern's batch is more consistent and why?Explanation / Answer
The standard deviation of the first sample is s1 = 10.65
Mean of the first sample x1 = 37.35
The standard deviation of the second sample is s2 = 21.62
Mean of the second sample is x2 = 37. 53
Now, the coefficient of variation for the first sample is = s1 / x1
= 10.65/37.35 = 0.29
Coefficient of variation for the second sample is = s2/x2
= 21.62/ 37.53 = 0.58
Since coefficient of variation for the first sample is is less than coefficient of variation for the second sample.
First intern is better. And more consistent
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