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The fill amount of liquid detergent bottles is being analyzed. Twelve bottles, r

ID: 3044593 • Letter: T

Question

The fill amount of liquid detergent bottles is being analyzed. Twelve bottles, randomly selected from the process, are measured, and the results are as follows (in fluid ounces): 16.05, 16.03, 16.02, 16.04, 16.05, 16.01, 16.02, 16.02, 16.03, 16.01, 16.00 16.07. a. Calculate the sample average. b. Calculate the sample standard deviation 4.2 Monthly sales for tissues in the northwest region are (in thousands) 50.001, 50.002, 49.998, 50.006, 50.005, 49.996, 50.003,50.004. Calculate the sample average. Calculate the sample standard deviation. a. b.

Explanation / Answer

Ans:

1)

a)mean=192.35/12=16.029

b)sample variance=0.004492/11=0.000408

sample standard deviation=sqrt(0.000408)=0.020207

xi (xi-16.02917)^2 1 16.05 0.000434 2 16.03 0.000001 3 16.02 0.000084 4 16.04 0.000117 5 16.05 0.000434 6 16.01 0.000367 7 16.02 0.000084 8 16.02 0.000084 9 16.03 0.000001 10 16.01 0.000367 11 16 0.000851 12 16.07 0.001667 Total= 192.35 0.004492 mean= 16.02917 0.000408 sample variance 0.020207 sample std. dev
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