Question 1187281: As an aid for improving employees' working habits, eight employees were randomly selected to attend a seminar-workshop on the importance of work. The table shows the number of workloads done per week before and after the seminar-workshop. At 0.05, did attending the seminar-workshop increase the performance level of employees?
Before : 10 ,12 , 8 , 7, 11, 10 ,13 ,9
After : 9, 14, 11,12,15, 13, 12,14
Solution:Step 1: State the hypotheses.(5pts)Ho:
Ha:
Step 2: The level of significance and the critical region.
Step 3: Compute the value of t test.
Step 4: Decision rule.
Step 5. Conclusion.
I hope someone will help me with this. Badly needed .
Thankyou~
Answer by Boreal(15235)   (Show Source):
You can put this solution on YOUR website! this is a 2-sample t, because each employee is their own control.
the values are, if I subtract after from before are 1,-2,-3,-5,-4,-3,1,-5
that mean is -2.5
sd is 2.39
Ho: difference is >=0 (after is less than before. This could be turned around if you wished.)
Ha: difference is x<0, (basically what one wants to see if there is a negative difference that after is > than before.
alpha=0.05 p{reject Ho|Ho true)
test stat is a t 0.95, df=7
critical value is t < -1.895
calculation t=difference/s/sqrt(n)
=-2.5/(2.39/sqrt(8))
=-2.96
reject Ho and conclude that after is > than before so that the number of workloads have increased.
p-value is 0.02
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