The number of pollens per flower (in thousands) was determined for two varieties of flowers. For...

The number of pollens per flower (in thousands) was determined for two varieties of flowers. For the first variety, 10 flowers produced a mean of 17.22 and a standard deviation of 3.74. For the second variety, 15 flowers produced a mean of 15.18 and a standard deviation of 2.44. Assume that the number of pollens per flower is normally distributed.

(a) Setupthenullandthealternativehypothesisneededtogainstatisticalevidence to support the contention that there is a significant difference between the mean amounts of pollen for the two varieties of flowers.
(b) Do you think that “pooling” of variances is appropriate? Justify your answer.
(c) Based on your answer to part (b), calculate the value of the test statistic for the

hypothesis of part (a), state the degrees of freedom, and approximate the p-value.
(d) Would you reject H0 or fail to reject H0 at 5% level of significance?
(e) Whatdoyouconcludeaboutthemeanamountofpollenforthetwovarietiesof

flowers?

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