In a simple random sample of 20 residents of the city of Dallas, the mean paper products recycled per person per day was 0.95 pounds with a standard deviation of 0.32 pounds. Determine the 99% confidence interval for the mean paper products recycled per person per day for the population of Dallas, assuming the population is approximately normal

The 99% confidence interval for the mean paper products recycled per person per day for the population of Dallas is

Step-by-step explanation:

From the question we are told that

   The sample size is  n =  20

   The sample mean is  

   The standard deviation is  

Generally given that the sample size is small , n<  30  we will be making use of t distribution table

Generally the degree of freedom is mathematically represented as

=>          

From the question we are told the confidence level is  99% , hence the level of significance is    

=>  

Generally from the t distribution table the critical value  of    at a degree of freedom of  is  

Generally the margin of error is mathematically represented as  

=>  

=>        

Generally 99% confidence interval is mathematically represented as  

=>  

=>  

20

step-by-step explanation: