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Mathematics

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I would like to know if completed the following question correctly?

  1. 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
Score

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
Score

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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