The dental fees for a root canal treatment vary from one office to another. According to a survey conducted by an insurance company, the distribution of the fees is normal with the mean of $1,100 and the SD of $50. To compare the fees in Riverside County to the nation as a whole, we took a sample of eight dental offices in the county. What is the sampling distribution of the average cost of a root canal treatment in Riverside County?

The  sampling distribution of the average cost of a root canal treatment in Riverside County is normal  with a mean of  $1,100  and  standard deviation of

Step-by-step explanation:

From the question we are told that

    The mean is

      The standard deviation is  

     The  sample size is  n =  8

Generally the standard deviation of the mean of the sampling distribution is mathematically represented as

=>        

=>        

Generally given that the sampling distribution of the fees in the nation as a whole is normal with a with the mean of $1,100  and  the SD of $50

Then the   ( sample mean of the country side ) is  normally distributed with a mean of  $1,100  and  standard deviation of

2.83941151 would be the answer you're looking for! : )