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.

The confidence interval is  

Step-by-step explanation:

From the question we are told that

   The sample  mean is

     The standard deviation is

     The sample  size is  

given that the confidence level is  85% then the level of significance is mathematically represented as

Next we obtain the critical value  of from the normal distribution table  the value  is  

Generally the margin of error is mathematically represented as

=>    

=>    

The  85%  confidence interval is mathematically represented as  

=>      

=>      

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step-by-step explanation: