Before 14 0 1 0 0 0 0 20 1 6 0 After 41 7 1 215 20 700 13 530 35 92 108 Differen
ID: 3157814 • Letter: B
Question
Before
14
0
1
0
0
0
0
20
1
6
0
After
41
7
1
215
20
700
13
530
35
92
108
Difference(After-Before)
27
7
0
215
20
700
13
510
34
86
108
a.do the data give convincing evidence that the count of active cells is higher after treatment at a 0.01 significance level.
i.State the null and alternative hypotheses.
ii.State the significance level for this problem.
iii.State the test statistic. Use MINITAB to compute the test statistic and P-value. (Copy and paste the results found in the Session window after your answer. Also, use this result to answer part (iv)).
iv.State the P-value.
v.State whether you reject or do not reject the null hypothesis.
vi.State your conclusion in context of the problem.
vii.If the true mean was 0, did you make an error? If so, which error? (Answer in complete sentences. You need to explain why or why not you made an error as well as identifying the type of error (Type I or II) if you did make an error. DO NOT answer these questions with a simple "Yes" or "No"; if you do, it will be marked as incorrect.)
Before
14
0
1
0
0
0
0
20
1
6
0
After
41
7
1
215
20
700
13
530
35
92
108
Difference(After-Before)
27
7
0
215
20
700
13
510
34
86
108
Explanation / Answer
Paired T-Test and CI: After, Before
iii
Paired T for After - Before
N Mean StDev SE Mean
After 11 160.2 236.3 71.3
Before 11 3.8 6.9 2.1
Difference 11 156.4 234.3 70.6
99% lower bound for mean difference: -38.9
T-Test of mean difference = 0 (vs > 0): T-Value = 2.21 P-Value = 0.026
Iv
Pvalue =0.026
V:
Since pvalue > 0.1 we fail to reject Ho and conclude that there Is no significant increase in count of
Active cells
Vi
there Is no significant increase in count of
Active cells
Vii
Did not make an error
We accept Ho and Ho mean is zero
This means that there is no significant increase in count
This is the decision
Paired T-Test and CI: After, Before
iii
Paired T for After - Before
N Mean StDev SE Mean
After 11 160.2 236.3 71.3
Before 11 3.8 6.9 2.1
Difference 11 156.4 234.3 70.6
99% lower bound for mean difference: -38.9
T-Test of mean difference = 0 (vs > 0): T-Value = 2.21 P-Value = 0.026
Iv
Pvalue =0.026
V:
Since pvalue > 0.1 we fail to reject Ho and conclude that there Is no significant increase in count of
Active cells
Vi
there Is no significant increase in count of
Active cells
Vii
Did not make an error
We accept Ho and Ho mean is zero
This means that there is no significant increase in count
This is the decision
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