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, 0 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 degrees of freedom (d.f.) is given in the table. Register Balance (10 days each) With -1 4 -3 -2 0 -3 -1 1 Manager (x2) Manager (1) Without -2 -4 -14 2 -4 -6 -8 -4 -2 1 -4.1 (a) Find the test statistic. 2.226 (b) Find the critical value. 2.878 -2 2 (c) Is there sufficient data to support the claim? Yes No degrees of freedom: d.f. = 13 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. mean -0.5 (d) Test the same claim at the 0.05 significance level. Critical value: 8² 5.16666666666667 2.27303028283098 20.9888888888889 4.58136321294098

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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I think my numbers are right for the first two parts but can someone help me with part d please and just double check my numbers? Thank you in advance if you can! 

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, 0 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 degrees of freedom (d.f.) is given in the table.
mean
Register Balance (10 days each)
With -1 4 -3 -2 0 -3 -1 1 -2 2 -0.5
Manager
(21)
Without
Manager
(x2)
-2 -4 -14 2 -4 -6 -8 -4 -2 1 -4.1
(a) Find the test statistic.
2.226
degrees of freedom: d.f. = 13
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.
(b) Find the critical value.
2.878
(c) Is there sufficient data to support the claim?
Yes
No
(d) Test the same claim at the 0.05 significance level.
2
84
8
5.16666666666667 2.27303028283098
Critical value:
20.9888888888889 4.58136321294098
Transcribed Image Text: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, 0 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 degrees of freedom (d.f.) is given in the table. mean Register Balance (10 days each) With -1 4 -3 -2 0 -3 -1 1 -2 2 -0.5 Manager (21) Without Manager (x2) -2 -4 -14 2 -4 -6 -8 -4 -2 1 -4.1 (a) Find the test statistic. 2.226 degrees of freedom: d.f. = 13 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. (b) Find the critical value. 2.878 (c) Is there sufficient data to support the claim? Yes No (d) Test the same claim at the 0.05 significance level. 2 84 8 5.16666666666667 2.27303028283098 Critical value: 20.9888888888889 4.58136321294098
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