At McDonalds, the automatic soda machine is suppose to dispense. 32oz of soda an
ID: 3231431 • Letter: A
Question
At McDonalds, the automatic soda machine is suppose to dispense. 32oz of soda and ice into a large cup. You have received multiple complaints that the machine is not working properly. You need to determine if the machine is working property so you take a sample of 12 large sodas and find an average of 33.2 oz with a standard deviation of 1.1 oz. Your general manager wants to be 99% confident about the machine's performance. Determine a confidence interval and test the machine's effectiveness using the confidence interval.Explanation / Answer
here std error of mean =std deviation/(n)1/2 =0.3175
for 1 degree of freedom and 99% CI, t=3.1058
hence confidence interval =sample mean-/+ t*std errror =32.2138 ; 34.1862
as above confidence interval does not contain 32 as probable value of mean ; we reject that machine is dispensing 32 oz has mean value and conclude that mean has shifted.
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