SOLUTION: A cola-dispensing machine is set to dispense 500 milliliters, ml, of cola per cup. A sample of 20 cups revealed they amount was 482 ml with a sample standard deviation of 40 ml.

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Question 1158338: A cola-dispensing machine is set to dispense 500 milliliters, ml, of cola per cup. A sample of 20 cups revealed they amount was 482 ml with a sample standard deviation of 40 ml. At the .02 significance level, do these sample data suggest there is a difference?
a. Which distribution will you use?
b. State the hypotheses.
c. Find the critical value(s)
d. Compute the test statistic.
e. Given c and d, state your decision
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
Assume normal distribution with sd of sample being estimate of sd of population
Ho: mean=500 ml
Ha: mean is not 500 ml
alpha=0.02 p{reject Ho|Ho true}
test statistic is a t (0.99, df=19)
critical value |t|>2.539
calculation is t=(x bar- mean)/s/sqrt(n)
=-18* sqrt(20)/40
=-2.01
fail to reject Ho: insufficient evidence to say that there is a difference of dispensing from 500 ml at the 0.02 level