In: Statistics and Probability
A research scientist wants to know how many times per hour a certain strand of bacteria reproduces. The mean is found to be 13.6 reproductions and the population standard deviation is known to be 1.9 . If a sample of 189 was used for the study, construct the 85 % confidence interval for the true mean number of reproductions per hour for the bacteria. Round your answers to one decimal place.
We have given that,
Sample mean = 13.6
Population standard deviation= 1.9
Sample size=189
Level of significance =1-0.85=0.15
Z critical value (by using Z table)=1.44
Confidence interval formula is
=(13.4,13.8)