Question: The manager of a golf resort has claimed that, on average, a guest spends at least $2800 at the resort during a weekend stay, including meals and entertainment. A member of the accounting staff does not believe the amount is that high. They authorize you to settle their dispute. You take a SRS (n = 16) of guests that had stayed at the resort over the last several weekends. Tracking the spending of these guests at the resort you determine that the guests spent a mean of $2743 with a standard deviation of $97. Test the accountant's claim that the mean is actually less than $2800 versus the manager's claim that the guests spend a mean of $2800 or more (Show all work as well as appropriate distribution diagrams to receive credit. You may assume a = .05 and that he population is symmetric and mounded.)

a) H₀: H₁:

b) What is the critical value of the test statistic? __________

c) State the decision rule,

d) Sketch the distribution showing the region(s) of acceptance and rejection in the graph.

e) Show computation and then state the statistical decision.

f) What would you tell the manager and accountant about their dispute?