In: Statistics and Probability
The time it takes for a particular type of biological cell to divide into two cells is believed to follow a bell- shaped distribution with a mean of 30.2 minutes. In a lab study of 22 such cells, the average time to divide was 28.2 minutes with a standard deviation of 3.5 minutes. Does the study provide sufficient evidence to conclude that the mean division time for such cells is less than 30.2 minutes? Round to 3 decimal places if necessary. You choose the confidence level and use that value to interpret your conclusion.
a) H0: ?=_____________ H1: ?___________
b) Test statistic: ____________
c) Compute the P−value=
d)State and interpret your conclusion.