Assuming that Tomatoes are packaged in a can designed to hold a nominal 28 ounce

Question

Assuming that Tomatoes are packaged in a can designed to hold a nominal 28 ounces of product. Five cans sampled randomly were found to contain 28.3, 27.3, 29.1, 28.5, and 27.8 ounces of product a) Calculate the mean value and the range of sample data, and b) estimate the variance and the standard deviation of the sampled population Show your calculation of what you learnt in chapter 4? For most of the middle of last century US What has factories were the most productive in the happened to change the situation?

Explanation / Answer

Mean value = [28.5+27.3+29.1+28.5+27.8]/5 = 28.2

Range = maximum value – minimum value = 29.1-27.3 = 1.8

Variance = (Xi - X)2 / n-1

Xi

Xi-X

(Xi-X)2

28.3

0.1

0.01

27.3

-0.9

0.81

29.1

0.9

0.81

28.5

0.3

0.09

27.8

-0.4

0.16

1.88

Variance = 1.88/4 = 0.47

Standard deviation = var = 0.47 = 0.6856

Xi

Xi-X

(Xi-X)2

28.3

0.1

0.01

27.3

-0.9

0.81

29.1

0.9

0.81

28.5

0.3

0.09

27.8

-0.4

0.16

1.88

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