1. A marketing researcher wants to estimate the mean amount spent ($) on Amazon.com by Amazon Prime member shoppers. The current amount average, as reported by Amazon.com, is $1,550. The researcher takes a random sample of n = 100 Amazon Prime member shoppers who recently made purchases on Amazon.com and finds a sample mean of = $1,500. Suppose the population mean is known to be = $200.

a. Is there evidence that the population mean amount spent on Amazon.com by Amazon Prime member shoppers is less than the reported amount of $1,550. To conduct the test, carefully set up the null and alternative hypotheses, the critical value, the decision rule, the test statistic, your decision, and interpret your

findings. Use 5% level of significance.

b. Determine the p-value and interpret its meaning