Question

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 H_a: 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

Answer 1