Question

Diet Data on the weights (lb) of the contents of cans of diet soda versus the contents of cans of the regular version of the soda is summarized to the right. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal Complete parts (a) and (b) below. Use a 0.05 significance level for both parts. 25 0.78225 lb 0.00449 lb 0.80137 lb 0.00744 lb a. Test the claim that the contents of cans of diet soda have weights with a mean that is less than the mean for the regular soda. What are the null and alternative hypotheses? O A. Ho: 112 H:H *12 06. Họ- P1 * P2 H₂:41 <H2 Ps. Ho: 142 o Hy: 4 <H2 OD. Ho:"12 HH2 The test statistic, t, is -,0076. (Round to two decimal places as needed.) Enter your answer in the answer box and then click Check Answer. Clear All Check Answer A parts remaining

Answer 1

a) (B) Ho: M = M2 es Hi < M2 - it is a left tailed test. b) s. (8-5) = ses Jo.00449 0.007442 27 - .S.E. (x-7) - 1 0.0017 t-stubistic = x-y a tyrno-2 S.E.(-1) - 0.78225-0.80137 -11.24 - 0.0017 i t-stulistic = -11.24 If x=0.05 live with (25+25-2) = 48 degrees of freedom t-critical value = -1.677 (one-twil) st-Strubistic & t critical value Hence we reject the Ho Conclusion: There was an ene evidence that the content of Cars of diet soda have weights with a mean that is less than the mean for the regular soda.