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 113 cm2.
(a) What is the standard error of the sample mean? Incorrect: Your answer is incorrect. (Use 3 decimal places)
(b) What is the the t* value needed to construct a 98% confidence interval for the mean? Incorrect: Your answer is incorrect.
(c) Let u denote the population mean amount of bacteria present per plate of culture. Calculate the 98% confidence interval for u. ( , ) (Use 3 decimal places)