A real estate agent needs to estimate the average value of a residential property of a given size in a certain area. The real estate agent believes that the standard deviation of the property values is = $5900.00 and that property values are approximately normally distributed. A random sample of size 25 units gives a samle mean of $88211.74. Give a 95% confidence interval for the average value of all properties of this kind.

a. ($87749.18, $90524.54) b. ($87749.18, $88674.3) c. ($85898.94, $88674.3) d. ($85898.94, $90524.54)