Management decided to introduce an incentive plan to try to increase the productivity in a small manufacturing plant. The morale of the workers was measured before and after the introduction of the new plan. A scale of 1 to 10 was used, where 1 is very low morale and 10 a very high morale. Can we say that the new incentive plan improve the morale of the workers? ( Sign test.

Question

Before / Voor

8

7

6

9

7

10

8

6

After / Na

6

5

8

6

9

8

10

7


How many positive differences are there?

Answer 1

To find the number of positive differences between the "Before" and "After" morale ratings, we need to calculate the differences for each pair of ratings and count how many of those differences are positive.

Here are the before and after morale ratings:

Before:

• 8
• 7
• 6
• 9
• 7
• 10
• 8
• 6

After:

• 6
• 5
• 8
• 6
• 9
• 8
• 10
• 7

Now we calculate the differences (Before - After):

1. 8 - 6 = 2 (positive)
2. 7 - 5 = 2 (positive)
3. 6 - 8 = -2 (negative)
4. 9 - 6 = 3 (positive)
5. 7 - 9 = -2 (negative)
6. 10 - 8 = 2 (positive)
7. 8 - 10 = -2 (negative)
8. 6 - 7 = -1 (negative)

Now, we count the positive differences:

• Positive differences: 2, 2, 3, 2 (4 positive differences)

Therefore, there are 4 positive differences.