Consider the following random sample of diameter measurements (in inches) of 15 softballs.

4.85, 4.85, 4.78, 4.75, 4.83, 4.7, 4.8, 4.74, 4.84, 4.74, 4.85, 4.83, 4.69, 4.7, 4.83 If we assume that the diameter measurements are normally distributed, find a 95% confidence interval for the mean diameter of a softball. Then find the lower limit and upper limit of the 95% confidence interval. Carry your intermediate computations to at least three decimal places. Round your answers to two decimal places.