To Check on the Five Second Rule, a Student Drops $\bar{x}$

Essay

To check on the five second rule, a student drops a slice of ripe wa- termelon on an inoculated piece of wood flooring. After 5 seconds, the amount of bacteria transferred is measured in percent transfer. This experiment is repeated nine more times. According to one formula for the percent transfer X, the summary statistics are
n = 10 $\bar{x}$ = 1.56 s = .08

Let µ =population mean transfer.
(a) Conduct a test of hypotheses with the intent of showing that
µ /= 1.5. Take $\alpha$ = .05.
(b) Explain your choice of sampling distribution and any assump- tion you made concerning the population distribution.
(c) Sketch the null distribution of your statistic and the rejection region.
(d) Based on the conclusion to your test in Part a, what error could you have made?