A machine fills 12 -ounce bottles with soda. For the machine to function properly, the standard deviation of the sample must be less than or equal to

0.02

ounce. A sample of 8 bottles is selected, and the number of ounces of soda in each bottle is given. At

\alpha = 0.05

, can you reject the claim that the machine is functioning properly? Justify your answer. (A that the variables are approximately normally distributed.)

\begin{array} { l l l l } 12.04 & 11.91 & 11.91 & 11.91 \\11.91 & 11.97 & 12.01 & 12.06\end{array}

\chi ^ { 2 } = 72.000 , \chi _ { \text {critical } } ^ { 2 } = 14.067

; There is evidence to reject the claim that the machine is working properly.
B)

\chi ^ { 2 } = 65.570 , \chi _ { \text {critical } } ^ { 2 } = 15.507

; There is not enough evidence to reject the claim that the machine is working properly.
C)

\chi ^ { 2 } = 72.000 , \chi _ { \text {critical } } ^ { 2 } = 15.507

; There is evidence to reject the claim that the machine is working properly.

D)

\chi ^ { 2 } = 65.570 , \chi _ { \text {critical } } ^ { 2 } = 14.067

; There is evidence to reject the claim that the machine is working properly.

Is the statement H0:μ=6 a valid null hypothesis? \text { Is the statement } H _ { 0 } : \mu = 6 \text { a valid null hypothesis? } Is the statement H0​:μ=6 a valid null hypothesis?

Multiple Choice

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$\text { Is the statement } H _ { 0 } : \mu = 6 \text { a valid null hypothesis? }$

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