Question

(2 points) 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 HereO means the register balance is right on negative means there is less more than there should be and positive means there is more money there should be the number of degrees of freedom (d..) that you should use in your calculations is given in the table. Register Balance (10 days each) mean With Manager -5 11 4 0 2 3 5 7 6.22222222222222 2.49443825784929 Without Manager (2) 13 9 7 o 11 -10 5 0 11 7 21.3333333333333 4.61880215351701 degrees of freedom: d... 14 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) -4 (b) Find the value to 3 decimal places) 0.013 (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 Note: You can earn partial credit on this problem preview answers

Answer 1

Given that ni=10 X = -3 12 =10 X2 = -7 = to 52 = 6.222222 522 =21.33333 To test Hoil, = 42 Hill > M 2 Assuming unequal variances Test statistics is t = XI - X2 51² + 52 6-22222 +21-33333 t- 2.4097 2.410 ✓ 6 P-value= P [ ti4 > 2.4097] -0,01515 0.015 ✓ tia Since P-value >0.0) lale fail to Reject Ho x=0.0) data does not support the claim Answert No v she pvalue co.us. d. Yes