## Related questions with answers

Educational Technology, Inc. sells software to provide guided homework problems for a statistics course. They would like to know if students who use the software score better on exams. A sample of students who used the software had the following exam scores: 86, 78, 66, 83, 84, 81, 84, 109, 65, and 102. Students who did not use the software had the following exam scores: 91, 71, 75, 76, 87, 79, 73, 76, 79, 78, 87, 90, 76, and 72. Assume the population standard deviations are not the same. At the .10 significance level, can we conclude that there is a difference in the mean exam scores for the two groups of students?

Solution

VerifiedWe are given two samples.

The first sample from a *software population* has a size $n_1=10$,

The second sample from a *non-software population* has size $n_2=14$.

We need to conclude if the *software population* mean is equal to the *non-software population* mean.

To solve this problem we are going to apply **six-step hypothesis-testing procedure**.

*How can we state the null hypothesis and alternate hypothesis?*

*Which test statistics we are going to use?*

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