Question

(1 point) Here we investigate whether the register balance at a local retail store is better on days with a manager than days without a manager. This evidence might be used to determine whether or not you should always schedule a manager. The table gives the register balance for a sample of 10 days with a manager and 10 days without a manager. Here, O means the register balance is right on, negative means there is less money than there should be, and positive means there is more money than there should be. The number of degrees of freedom (d.f.) that you should use in your calculations is given in the table. Register Balance (10 days each) s2 mean With Manager (xi)-2 0 5 1 1 3 0 -7 412 2.5 20.7222222222222 4.55216676124922 Without Manager (x2) -10 1 13 -11 0-7 14 1617 -8.8 45.2888888888889 6.72970199109061 degrees of freedom: d.f.-16 Test the claim that the average register balance is better (greater) for all days with a manager than those days without a manager. Use a 0.01 significance level. (a) Find the test statistic (to 3 decimal places). (b) Find the P value (to 3 decimal places). (c) Is there sufficient data to support the claim? Yes No (d) Test the same claim at the 0.05 significance level. Is there sufficient data to support the claim? Yes No

Answer 1

a)test statistic =2.452

b) p value =0.013

c) No

d) Yes