A Pharmaceutical Company uses a machine to pour cold medicine into bottles in such a way that the s. d. of the weights is 0.15 oz. A new machine is tested on 68 bottles and the s. d. for this sample is 0.12 oz. The Dayton Machine company, which manufactures the new machine claims that it fills bottle with a lower variation. At a 1% level of significance test the claim made by the Dayton Machine Company. For all test of hypothesis problems, 1. Set up the null and alternate hypothesis
2. Calculate the test statistic.
3. find the critical value(s) or P value.
4. Make a decision.
5. Write the conclusion in terms of the problem.