Researchers investigated how the size of a drinking glass affects how much soda people tend to pour themselves. People were randomly given either a 17 oz or a 25 oz glass, and were invited to pour as much soda as they liked. Did the glass size change the selected portion size? The summaries are shown to the right. Assume any assumptions and conditions are satisfied. Complete parts a through c. Use a = 0.05. Large Glass 29 Small Glass 29 4.83 oz 6.55 oz y y 1.83 oz 3.05 oz a) Write appropriate hypotheses. Ho: The mean for the smaller glass is the same as the mean for the larger glass; that is, u, - Ha = 0, where u, is the population mean of the small glass soda volumes and u, is the population mean of the large glass soda volumes. H: The mean for the smaller glass is different from the mean for the larger glass; that is, H. - Ha # 0, where u, is the population mean of the small glass soda volumes and u, is the population mean of the large glass soda volumes. b) Find t and the P-value for these results. t= - 2.604 (Round to three decimal places as needed.) P-value = (Round to four decimal places as needed.) c) State your conclusion in context. Reject |Hn. The data provide sufficient evidence to conclude that the mean for the smaller glass is different from the mean for the larger glass.