a soft drink filling machine when in perfect adjustment fill

a soft drink filling machine when in perfect adjustment fills the bottles with 12 ounces of soft drink. a random sample of 25 bottles is selected and the contents are measured. the sample yielded a mean content of 11.88 ounces with a standard deviation of .24 ounces. we want to conduct a statistical test to see if the machine is in perfect adjustment. Assume the distribution of the population is normal.

a. State the null and alternative hypothesis

b. what is the appropriate statistical test to use

c. use 5% level of sig to test the hypothesis.

d. what is the value of the test statistic

e. what is the p-value associated with the test statistic

f. do you reject or not reject the null?

Solution