13. The Gordon Beverage Company bottles soft drinks using an automatic filling m

Question

13. The Gordon Beverage Company bottles soft drinks using an automatic filling machine. When the process is running properly, the mean fill is 12 ounces per can. The machine has a known standard deviation of 0.20 ounces. Each day, the company selects a random sample of 36 cans and measures the volume in each can. They then test to determine whether the filling process is working properly. The test is conducted using a 0.05 significance level. Using the test statistic approach, what conclusion should the company reach if the sample mean is 12.02 ounces? What type of statistical error may have been committed?

Please show the process, it will help me understand better. Thank you !

Explanation / Answer

Z = ( 12.02 - 12 ) / ( 0.20 / srqt 36 )

Z = 0.6

p value : 0.2743

since p value is greater than 0.05 we conclude that there is no evidence to say that the process is not working properly

fail to reject Ho

tpe of statistical erro may have been commited?

Can be type II error , fail to reject Ho when Ho is false!

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