Author Question: A soda machine is set to fill bottles with 24 ounces of cola. As part of a quality control program, ... (Read 41 times)

123654777 · **on:** Jan 16, 2020

A soda machine is set to fill bottles with 24 ounces of cola. As part of a quality control program, an inspector records the amount of fill over or under 24 ounces for one minute. His observations are shown below.

-0.40

-0.45

-0.21

-0.15

-0.71

-0.05

-0.84

-0.12

-0.05

-0.58

-0.55

-1.01

-0.07

0.50

0.08

-0.96

-0.36

-0.75

-0.84

-1.00

0.21

0.25

0.10

0.99

0.89

0.05

0.54

0.31

0.97

0.67

0.45

0.60

0.01

0.98

0.22

0.72

0.77

0.48

0.13

0.39

-0.73

-0.78

-0.90

-0.14

-0.68

0.80

0.12

0.16

0.37

0.27

Is there evidence at the α = 0.01 level of significance to support the hypothesis that the filling process is not random with respect to amounts over and under 24 ounces?
◦ z = -6.28
Since |z| > z_0.005 = 2.58, we reject H₀. There is sufficient evidence to support the hypothesis that the filling process is not random.
◦ z = 0.67
Since |z| < z_0.005 = 2.58, we do not reject H₀. There is not sufficient evidence to support the hypothesis that the filling process is not random.
◦ z = -5.71
Since |z| > z_0.005 = 2.58, we reject H₀. There is sufficient evidence to support the hypothesis that the filling process is not random.
◦ z = -1.25
Since |z| < z_0.005 = 2.58, we do not reject H₀. There is not sufficient evidence to support the hypothesis that the filling process is not random.

cupcake16 · **Reply #1 on:** Jan 16, 2020

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