You are given the following data. Test the claim that there is a difference in the means of the two groups. Use a = 0.10.

Solution: We need to test the following null and alternative hypothesis:

We need to apply a two-tailed t-test. The calculations are summarized below:

The t-statistics is t = 2.478, and the corresponding p-value is p = 0.014, which means that we reject the null hypothesis. This implies that there is a difference in the means of the two groups, at the 0.10 significance level.

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