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A biologist wishes to estimate the effect of an antibiotic on the growth of a particular...

A biologist wishes to estimate the effect of an antibiotic on the growth of a particular bacterium by examining the mean amount of bacteria present per plate of culture when a fixed amount of the antibiotic is applied. Suppose he estimates that s = 14 cm2 and that he has a sample size of 35 with sample mean equal to 110 cm2. Assume all conditions are met.

(a) What is the the t* value needed to construct a 99% confidence interval for the mean? Be sure to use the table, and round down your df.

(b) Let μ denote the population mean amount of bacteria present per plate of culture. Calculate the 99% confidence interval for μ. ( , ) (Use 2 decimal places.)

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