6. We predict that learning statistics will increase a student\'s IQ. Those not

Question

6. We predict that learning statistics will increase a student's IQ. Those not learning statistics have a population mean of 100 with a standard deviation of 15. For 25 statistics students, the mean is equal to 108.6. Use a Z test and the 10 step process to determine if learning statistics increases a student's IQ.

Step 1: Research Hypothesis?

Step 2: Null Hypothesis?

Step 3: One or two tails?

Step 4: Alpha level?

Step 5: What test?

Step 6: Degrees of Freedom? N/A

Step 7: Critical Value?

Step 8: Decision Rule?

Step 9: Finding?

Step 10: Conclusion?

Explanation / Answer

rersearch hypothesis: mean >100

bull hypothesis: mean =100

one tail test(right tailed)

alpha level=0.05 (as not given)

5) one sample z test

6)degree of freedom NA(as population std deviation is known)

7)critical value =1.645

8)decision rule if z>1.645 reject null hypothesis

9) std error of mean =std deviation/(n)1/2 =3

hence test stat z=(X-,mean)/std error =(108.6-100)/3=2.867

as z stat is greater then critical value, we reject null hypothesis

10) we have sufficient evidence to conclude that learning statistics increases a student's IQ.

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