Question

part a:

***the answer is not***

2.19

2.728

2.73

2.44

2.14

2.13

part b:

***the answer is not****

(108.005, 119.995)

(108, 120)

Please help. i will rate

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 13 cm2 and that he has a sample size of 35 with sample mean equal to 114 cm2. Assume all conditions are met. (a) What is the the t* value needed to construct a 99% confidence interval for the mean? 2.728 (b) Let u denote the population mean amount of bacteria present per plate of culture. Calculate the 99% confidence interval for μ. 108 01x99x) (Use 3 decimal places)

Answer 1

a) the t value needed to construct a 99% CI for the mean for the given sample size of 35 is,

t000534 2.75

b) the required CI is given by,

- ta/2,n-1

13 = | 114-2.75 × 13 114 2.75 ×- V35 V35

114-6.043, 1146.043

107.957, 120.043