In the comparison of two kinds of paint

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With reference to Example 5, test the null hypothesis σ1 - σ2 = 0 against the alternative hypothesis σ1 - σ2 > 0 at the 0.05 level of significance.

Example

In the comparison of two kinds of paint, a consumer testing service finds that four 1-gallon cans of one brand cover on the average 546 square feet with a standard deviation of 31 square feet, whereas four 1-gallon cans of another brand cover on the average 492 square feet with a standard deviation of 26 square feet. Assuming that the two populations sampled are normal and have equal variances, test the null hypothesis μ1 - μ2 = 0 against the alternative hypothesis μ1 - μ2 > 0 at the 0.05 level of significance.

Reference no: EM131137571

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