The following information was obtained from matched samples regarding the productivity (in units per hour) of four individuals using two different methods of production.
Individual
Method 1
Method 2
1
6
8
2
9
5
3
7
6
4
7
5
5
8
6
6
9
5
7
6
3
?
Let d = Method 1 - Method 2. Is there a significant difference between the mean productivity of the two methods? Let ? = .05. Assume the population of differences is normally distributed.

What will be an ideal response?


?

H0: ?d = 0
Ha: ?d? 0
Test statistic t = 2.542, p-value (.044) is between .02 and .05; reject H0; there is a significant difference between the productivity of the two methods.

Business

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