5. An automated filling machine is used to fill plastic cups at McDaud restaurant with McFlurrie ice cream. A random sample of 10 filled plastic cups were taken and the volume are as follows, in fluid ounces (fl. oz). 12.00 12.01 12.00 11.99 11.89 11.85 12.01 11.99 12.05 11.58 If the variance of fill volume exceeds 0.01 fl. oz. the machine must be reset. (a) Is there evidence in the sample data to suggest that McDaud has a problem with the filling machine? Use α =0.05 and assume that the fill volume follow normal distribution. (b) if a =0.01, will you change the conclusions you have made in (a)?

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Author:Amos Gilat
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5. An automated filling machine is used to fill plastic cups at McDaud restaurant with McFlurrie ice
cream. A random sample of 10 filled plastic cups were taken and the volume are as follows, in fluid
ounces (fl. oz).
12.00 12.01 12.00 11.99 11.89
11.85 12.01 11.99 12.05 11.58
If the variance of fill volume exceeds 0.01 fl. oz. the machine must be reset.
(a) Is there evidence in the sample data to suggest that McDaud has a problem with the filling
machine? Use α =0.05 and assume that the fill volume follow normal distribution.
(b) if a =0.01, will you change the conclusions you have made in (a)?
Transcribed Image Text:5. An automated filling machine is used to fill plastic cups at McDaud restaurant with McFlurrie ice cream. A random sample of 10 filled plastic cups were taken and the volume are as follows, in fluid ounces (fl. oz). 12.00 12.01 12.00 11.99 11.89 11.85 12.01 11.99 12.05 11.58 If the variance of fill volume exceeds 0.01 fl. oz. the machine must be reset. (a) Is there evidence in the sample data to suggest that McDaud has a problem with the filling machine? Use α =0.05 and assume that the fill volume follow normal distribution. (b) if a =0.01, will you change the conclusions you have made in (a)?
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