In: Statistics and Probability
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 |
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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