SOLUTION: Mr. Meyers used 2 different teaching methods in similiar statistics classes of 35 students each. Then each class took the same practice exam. in one class there was a mena grade

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Question 64393: Mr. Meyers used 2 different teaching methods in similiar statistics classes of 35 students each. Then each class took the same practice exam. in one class there was a mena grade of m=82 and s=4; in the other the m=77 and s=7. Mr Meyers wants to be 95% certain of any conclusions drawn from the data.
a. assume Ho: the mean grade is the same for both teaching methods. What should the alternative hypothesis be?
b. Is the distribution of differences approximately normal? Why or Why not?
c. Should Mr. Meyers reject or fail the null hypothesis? Draw a diagram that supports your answer.
for a. I put Ho:m=m
b. I said yes the distribution of differences is normal.
I drew a diagram but I believe I have it labeled incorrectly.
Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website!
Mr. Meyers used 2 different teaching methods in similiar statistics classes of 35 students each. Then each class took the same practice exam. in one class there was a mena grade of m=82 and s=4; in the other the m=77 and s=7. Mr Meyers wants to be 95% certain of any conclusions drawn from the data.
a. assume Ho: the mean grade is the same for both teaching methods. What should the alternative hypothesis be?
Ha: the means are not equal
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b. Is the distribution of differences approximately normal? Why or Why not?
Yes; the underlying populations are each normally distributed.
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c. Should Mr. Meyers reject or fail the null hypothesis? Draw a diagram that supports your answer.
Draw a normal curve over a t-horizontal axis
The median is 0
The t-statistic is at t= 3.67
The p-value is 0.00056
So, Reject the null hypothesis.
Conclusion: The population means are not equal
Cheers,
Stan H.