Reference no: EM132857455

The Crown Bottling Company has just installed a new bottling process that will fill 16-ounce bottles of the popular Crown Classic Cola soft drink. The company wants to be sure that the new process is not overfilling or underfilling the bottles. As part of an ongoing quality assurance process, a sample of 36 bottles of soda is tested and the average amount of soda in the bottles is found to be 15.96 ounces. Assuming that the population standard deviation for the amount of soda dispensed by the new bottling process is 0.1 ounces, do the data provide evidence that the new bottling process needs to be adjusted (e.g., is the average amount of soda in the bottles different than the expected value of 16 ounces). Assume a significance level of 1%.

a. State the null and alternative hypotheses.

b. Calculate the value of the test statistic.

c. Draw the critical region and identify the critical value.

d. Assess the evidence (e.g., does the test statistic fall into the critical region).

e. State your conclusion in terms of the problem (e.g., does the bottling process need to be adjusted).