Question

In: Statistics and Probability

For the dataset Production Count.xlsx.   Is there evidence at a 5% significance level that the mean...

For the dataset Production Count.xlsx.   Is there evidence at a 5% significance level that the mean production count for factory workers is greater after attending a seminar than before? Highlight the P-value and interpret your result.

Worker Before Count After Count
1 20 22
2 25 28
3 27 27
4 23 26
5 22 25
6 20 19
7 17 18
8 27 29
9 20 22
10 26 24
11 26 23
12 20 31
13 18 24
14 23 19
15 17 21
16 23 35
17 20 28
18 23 29
19 18 20

Solutions

Expert Solution

This Problem is solved by using Minitab Software .

Step 1 : Data Entering

Step 2 : Paired t- test

Minitab Path : stat >> Basic statistics >>paired t test

Output is

Answer :

D = After count - Before count

H0 :

Ha :

P-value = 0.004

Decision Rule : If P-value less than 0.05 ,Reject H0

Interpretation : Reject H0 , that mean there is statistically significant difference .Therefore the mean production count for factory workers is greater after attending a seminar than before.

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