The nicotine content in cigarettes of a certain brand is normally distributed with mean (in milligrams) ? and standard deviation ? =0.1. the brand advertises that the mean nicotine content of their cigarettes is 1.5, but you believe that the mean nicotine content is actually higher than advertised. to explore this, you test the hypotheses h0: ? =1.5, ha: ? > 1.5 and you obtain a p-value of 0.052. which of the following is true?

(a) at the ? =0.05 significance level, you have proven that h0 is true.
(b) this should be viewed as a pilot study and the data suggests that further investigation of the hypotheses will not be fruitful at the ? =0.05significance level.
(c) there is some evidence against h0, and a study using a larger sample size may be worthwhile.
(d) you have failed to obtain any evidence for ha.

Analyze the graph of the cube root function shown on the right to determine the transformations of the parent function. then, determine the values of a, h, and k in the general equation. y=a3x-h+k h= . k= done 000000l o 7 of 8

Describe how you can act financially responsible.

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.)