Question

In order to compare the means of two normal populations, independent random samples are taken of...

In order to compare the means of two normal populations, independent random samples are taken of sizes n1 = 400 and n2 = 400. The results from the sample data yield:

Sample 1 Sample 2
sample mean = 5275 sample mean = 5240
s1 = 150 s2 = 200

To test the null hypothesis H0: µ1 - µ2 = 0 versus the alternative hypothesis Ha: µ1 - µ2 > 0 at the 0.01 level of significance, the most accurate statement is

The value of the test statistic is 2.80 and the critical value is +1.96

The value of the test statistic is 2.80 and the critical value is +2.326

The value of the test statistic is 2.80 and the critical value is +2.576

The value of the test statistic is 3.29 and the critical value is +2.326

The value of the test statistic is 3.29 and the critical values are -2.576 and +2.576

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