Question

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 = 10 cm2 and that he has a sample size of 35 with sample mean equal to 110 cm2.

(a) What is the standard error of the sample mean?

b) What is the the t* value needed to construct a 98% confidence interval for the mean?

c) Let μ denote the population mean amount of bacteria present per plate of culture. Calculate the 98% confidence interval for μ.

Answer 1

Solutioh Giiven that 122 一10 V35 1- 69 Mean 12 sample Mean 1:69

solutiorn Gliven that ( A Condilence level the tis ½ , df-to.ol , 34 2.. 44 , (C) At 98% Cony idence level the-a is 1102.441x 1o 35 「자 (10 + 4.146 105,8 74 ,11 40 5L74 ,-1 ( 4 : 126)-