4-part question! 1.What if we want to know if a black cat crossing your path has

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4-part question!

1.What if we want to know if a black cat crossing your path has any effect on luck. We know a casino owner who informs us that losses for gamblers at her casino are normally distributed with a mean of $46 and SD of $20. We decide to do a two-tailed test and set our alpha at .05. We choose 16 people at random who are walking into the casino and throw a cat in front of them. At the end of the night, the mean loss for our cat-crossed sample is $52.

What is the standard error of our comparison distribution?

2.What is our cat-crossed sample's score on the comparison distribution?

3.According to the results of our luck study, we should:

a.fail to reject the null hypothesis

b.reject the null hypothesis

4.What if black cats really do affect luck (null hypothesis is false/research hypothesis is true) and our previous study found that they didn't affect luck?

What is the best way to redesign our study so that we can detect a significant difference that really exists?

Study something else with a larger effect size.

Use scarier black cats.

Lower our alpha to .01 to increase our chances of detecting a difference.

Use a larger n to increase the power of our study.

a.fail to reject the null hypothesis

b.reject the null hypothesis

4.What if black cats really do affect luck (null hypothesis is false/research hypothesis is true) and our previous study found that they didn't affect luck?

What is the best way to redesign our study so that we can detect a significant difference that really exists?

a.

Study something else with a larger effect size.

b.

Use scarier black cats.

c.

Lower our alpha to .01 to increase our chances of detecting a difference.

d.

Use a larger n to increase the power of our study.

Explanation / Answer

1)standard error of our comparison distribution =std deviation/(n)1/2 =20/(16)1/2 =5

2)s our cat-crossed sample's score on the comparison distribution z=(X-mean)/std error =(52-46)/5=1.2

3) a.fail to reject the null hypothesis ; as test score is not in critical region of z<-1.96 or z>1.96

4)

Use a larger n to increase the power of our study.

d.

Use a larger n to increase the power of our study.

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