The water works commission needs to know the mean household usage of water by the residents of a small town in gallons per day. Assume that the population standard deviation is 2.2 gallons. The mean water usage per family was found to be 15.8 gallons per day for a sample of 669 families. Construct the 90% confidence interval for the mean usage of water. Round your answers to one decimal place.

The 90% confidence interval is  

Step-by-step explanation:

From the question we are told that

  The population standard deviation is  

  The  sample mean is  

   The sample size is  n  =  669

From the question we are told the confidence level is  95% , hence the level of significance is    

=>  

Generally from the normal distribution table the critical value  of   is  

Generally the margin of error is mathematically represented as  

=>  

=>  

Generally 90% confidence interval is mathematically represented as  

=>    

=>    

answer: the first graph

step-by-step explanation: