Answer Happy

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. Small Glass n 27 5.44 oz S 1.84 oz 17T Large Glass n 26 6.81 oz S 3.02 oz Ciao a) Write appropriate hypotheses. Ho: The mean for the smaller glass is Ha: The mean for the smaller glass is the mean for the larger glass; that is, H1 - H2 the mean for the larger glass; that is, 41 - 42 0, where u1 is the population mean of the small glass soda volumes and M2 is the population mean of the large glass soda volumes. 0, where uy is the population mean of the small glass soda volumes and up is the population mean of the large glass soda volumes. b) Find t and the P-value for these results. t= (Round to three decimal places as needed.) P-value = (Round to four decimal places as needed.) c) State your conclusion in context. Ho. The data sufficient evidence to conclude that the mean for the smaller glass is the mean for the larger glass.