Question

14. In the filling of drink pouches, too much variation can cause problems for the manufacturer. Regardless of the flavor of the drink or the volume of the container, the variability is to remain constant. The machine filling 13.13. CHAPTER 13 EXERCISES 367 the Grape flavor was right on target for the last test with a variance of 2.30 grams based on a sample of size 16. The machine filling the Fruity flavor had a variance of 2.58 grams for a sample size of 16. Assuming the distribution of the fills for each machine is approximately normal, is there evidence to show that the variability for the machine filling the Fruity flavor is higher than the machine filling the Grape flavor?

Answer 1

Date Page Given that o grape Havor Tor truity Havor - 2.30 2.58 To tes hypothesis g- HO: S-i Test Shatiche's fral - 2.80 2.58 Fcal 08915 Decsion Rule Reject Ho iF Feppeptatfc Ecal Fupper tail rom ptable fast2.u03 fcal- 0-8915 Fceit -2403 at d o.05 Ne fail to reject Ho at o- O Or Decision Here There in inuficient eidenc to rejeat Ho at d0-0 may n be conclude thathe vaiability for the mat lling the Pruty avor n higher Hhan Hhe the Grape tavor Conclunion machine ling