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Mathematics
Description
I would like to know if completed the following question correctly?
- Based on the information given for the following studies, decide whether to reject the null hypothesis. Assume that all populations are normally distributed. For each, give:
a. The Z-score cutoff (or cutoffs) on the comparison distribution at which the null hypothesis should be rejected.
b. The Z-score on the comparison distribution for the sample score.
c. Your conclusion.
Study |
µ |
σ |
Sample |
p |
Tails of Tests |
A |
5 |
1 |
7 |
0.05 |
1 (high predicted) |
B |
5 |
1 |
7 |
0.05 |
2 |
C |
5 |
1 |
7 |
0.01 |
1 (High predicted) |
D |
5 |
1 |
7 |
0.01 |
2 |
Answer:
Study |
µ |
σ |
Sample |
p |
Tails of Tests |
z-score cut off at p-level |
z-score for sample score =(Sample score-µ)/σ |
Conclusion |
A |
5 |
1 |
7 |
0.05 |
1 (high predicted) |
1.645 |
(7-5)/1=2 |
Do not reject |
B |
5 |
1 |
7 |
0.05 |
2 |
1.96 |
(7-5)/1=2 |
Do not reject |
C |
5 |
1 |
7 |
0.01 |
1 (High predicted) |
2.326 |
(7-5)/1=2 |
Reject |
D |
5 |
1 |
7 |
0.01 |
2 |
2.575 |
(7-5)/1=2 |
Reject |
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