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Time it takes for a particular type of biological cell to divide into two cells is...

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) Identify the null and alternative hypothesis. H0 : µ H1 : µ

b) Test statistic: = (Round to 2 decimal places)

c) Compute the P-value P-value= (Round to 3 decimal places)

d) State and interpret the final conclusion in the context of this problem.

math   Statistics-And-Probability   
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