Flora is a marine biologist working in Thailand. She is currently researching the eating habits of turtles. She believes that the species (A or B) and the gender (M or F) of the turtle may affect its eating habits, measured in ounces of kelp consumed weekly. Flora believes that mean amount of kelp consumed by Species A is less than the mean amount of kelp consumed by Species B. What are the appropriate hypotheses to test her belief?

a. HA: ?A=?B
b. HA: ?A??B
c. H0: ?A=0
d. HA: ?A<?B
e. H0: pA=pB
f. H0: ?A=?B
g. HA: ?A<0
h. H0: pA?pB

Afriend of mine is giving a dinner party. his current wine supply includes 10 bottles of zinfandel, 8 of merlot, and 11 of cabernet (he only drinks red wine), all from different wineries. (a) if he wants to serve 3 bottles of zinfandel and serving order is important, how many ways are there to do this? ways (b) if 6 bottles of wine are to be randomly selected from the 29 for serving, how many ways are there to do this? ways (c) if 6 bottles are randomly selected, how many ways are there to obtain two bottles of each variety? ways (d) if 6 bottles are randomly selected, what is the probability that this results in two bottles of each variety being chosen? (round your answer to three decimal places.) (e) if 6 bottles are randomly selected, what is the probability that all of them are the same variety? (round your answer to three decimal places.)