Question

6. It is claimed that the mean volume of a can of COKE is 12.00 ounces. A sample of 144 cans finds a mean volume of 12.11 and a sample standard deviation of .33. Test the claim that the mean is equal to 12.00 at a level of significance of .05.

Answer 1

bolun: Given: A sample 144 cans have mean volume 12.11 m=144, V = 12:11 ounces ; Sample stondard deviation is 0.33 :: S = 0.33 Aim: To test claim that mean is equal to 12.00 ounces :: Ho: Mean volume of coke is 12.00 ounces (claim ) i.e. Ho: 4 = 12 Cclaim) He: Mean volume of coke is mol 12.00 ounces ie. Hii 1 & 12 ( Two sided hypothesis ) Here 2 = 0.05 and sample sld dev is known so we use one sample t-test to test claim ip. We use t-distribution df-n-1 = 144-1-143 critical wolue - t- taina- to .05,148 = 1.96 Test Statistic-, t u-X = slun 12-12:11 0.33 3/144 0.0275 t =-4 bince Here it > tains : data provide Elrong evidence to reject Ho in favor of H, .ie Reject Ho at 2=0.05 . Accept H, Conclusion -: We conclude that there is insufficient evidence to test claim that mean volume is equal to 12.00 Ounces ,: Mean volume of coke is not equal to 12.00 ounces.