# Project #71098 - Statistcs

Quality control is an important aspect of the manufacturing process. At a local company, dispensing machines are manufactured to dispense 600 ml of soda into a bottle. Over time, the dispensing machines can lose precision and dispense too much or too little soda. When this occurs, the machine will require an adjustment. The machine needs an adjustment if the mean amount of soda dispensed is different than 600 ml.

The owner of a dispensing machine believes her machine has lost precision. She measures he amount of soda dispensed at 8 random times throughout the day. The amounts are listed below.

600.10, 599.91, 599.84, 599.89, 599.82, 600.11, 600.02, 599.91

The sample mean, x_bar, and the sample standard deviation, s, are calculated.

x_bar = 599.95 and s = 0.1126

Assume the conditions for approximately normal are met.

Calculate the P-value Round to three decimal places.
Based on this P-value and testing at 0.05 level of significance, we(1 = have enough, 2 = do not have enough) evidence and we, therefore 1 = reject, 2 = fail to reject) the null hypothesis that the average soda dispensed is 600 ml.

This time, calculate the 95% confidence interval. (Round your answer to two decimal places)
These results(1 = are, 2 =are not) consistent with the previous hypothesis test at the 5% significance level since 600 ml(1 = lies, 2 = does not lie) in the 95% confidence interval.

http://gyazo.com/3da828408bf5075b989b794054bad456 pic of last problem

 Subject Mathematics Due By (Pacific Time) 05/17/2015 12:00 pm
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