Ateacher wants to compare the mean geology scores of two different classes. she is testing the null hypothesis that there is no difference in the population mean scores of the two classes. the difference of the sample means is 51.4. if the standard deviation of the distribution of the difference of sample means is 16.66, what is the 95% confidence interval for the population mean difference?
between -33.2 and +33.2
between -49.9 and +49.9
between -102.8 and +102.8
between -154.2 and +154.2

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.)