Question

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A bottling factory claims that the volume of soda filled in bottles is 18 oz. You as the quality engineer have been asked to test whether the true mean volume of soda is different than 18 oz. The volume of a random sample of 24 bottles had a mean (Xbar) of 17.98 oz with a sample standard deviation (S-1) equal to .03 oz. What is the appropriate hypothesis test? a) H u 18 oz H: u < 18 oz b) Hu = 18 oz Hu* 18 oz c) Hu 318 oz Hu> 18 oz d) He: u = 17.98 oz H u *17.98 OZ e) None of the above Based on your result, and using a significance level a= 5%, what would the calculated value of the test statistic? a) teie = 3.266 b) teic -2.069 c) lus .3.266 d) fute = -0.667

Answer 1

Page 1 Soluation. given that: n=24 x = 17.98 oz sro.03 oz The hypothesis test b] HorM: 1807 Hill # 18 OZ La Significance level da siros The test statistics Z-u sin ta 17.98-18 0.031 124 teate -0.02 0 00 6 1 23 - 3266. CD teak 2-3.266 1 Critical Venue: d=0.08 212 0.025- FS 24- 123

Page 2 hazin-1 - +2.org from a correre) t-table decision - 1 cole a - taia, n-1 if reject Ho -3. 260 <-2.06g we Reject Null rypotheses Conclusion There is sufficient the true mean volume different than 18 ez evidence of soda that is