A marketing researcher wants to estimate the mean amount spent ($) on Amazon.com by Amazon Prime member shoppers. Suppose a random sample of 100 Amazon Prime member shoppers who recently made a purchase on Amazon.com yielded a mean of $1,500 and a standard deviation of $200.

a. Construct a 95% confidence interval estimate for the mean spending for all Amazon Prime member shoppers.

b. Interpret the interval constructed in (a).