SOLUTION: A teacher is interested in comparing the means scores on a mathematics and verbal test for two populations of students, population A and population B. In particular, the teacher su

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Question 221778: A teacher is interested in comparing the means scores on a mathematics and verbal test for two populations of students, population A and population B. In particular, the teacher suspects that the mean score for population A is higher than in population B.
A random sample of 30 test scores from each population is collected.
Sample A
83.5 66 92.5 61.5 62.5 94
71.5 68 97 66.5 93 71.5
63 90.5 69 93 95 66
74 92.5 85 66.5 86.5 65
73 66.5 88.5 69.5 80 69.5

Sample B
92 51.5 73 73 95 63
74 79 46.5 93.5 88 88
64.5 49.5 79 51.5 53 89.5
78.5 84.5 80 72.5 71 94.5
67 55 85.5 70 92 64.5
Conduct a one-tailed hypothesis test for equality of the populations means.
You may find this Student's t distribution table useful.
a)Calculate the test statistic. Give your answer to 3 decimal places.
t =???
b)At a 95% confidence level, from the result of the test you can conclude that there is:
1.)significant evidence to conclude that the mean of population A is greater than the mean of population B
2.)significant evidence to conclude that the mean of population A is less than or equal to the mean of population B
3.)not enough evidence to conclude that the mean of population A is greater than the mean of population B
4.)not enough evidence to conclude that the mean of population A is less than or equal to than the mean of population B
Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website!
The most time consuming part of problems of
this kind is calculating the same means and
standard deviations. I think you should
supply that data if you want help with the
analytic part of the problem.
Cheers,
Stan H.