A local bottler in Hawaii wishes to ensure that an average of
10ounces of passion fruit juice is used to fill each bottle. In
order to analyze the accuracy of the bottling process, he takes a
random sample of 31 bottles. The men weight of the passion fruit
juice in the sample is 9.82 ounces. Assume that the population
standard deviation is 0.51 ounce. Use the critical value approach
to test the bottler’s concern at a=0.01. a. Select the null and
alternative hypothesesfor the test. b-1. Calculate the value of the
test statistic. (negative value should be indicated by a minus
sign. Round your answer to 2 decimal places.) b-2. Find the
critical values. (round your answer to 2 decimal places.) b-3. What
is the conclusion? c. Make a recommendation to the bottler. The
accuracy of the bottling process is compromised or not
compromised.
