Consider the following sample data drawn independently from

Consider the following sample data drawn independently from normally distributed populations with equal population variances. Use Table 2.

Construct the relevant hypotheses to test if the mean of the second population is greater than the mean of the first population.

Calculate the value of the test statistic. (Negative values should be indicated by a minus sign. Round intermediate calculations to 4 decimal places and final answer to 2 decimal places.)

Calculate the critical value at the 1% level of significance. (Negative value should be indicated by a minus sign.Round your answer to 3 decimal places.)

Solution

a) H0: 1 2 0; HA: 1 2 > 0

b)  T-Value = -2.71

c)  2.97684

d) P-Value = 0.992 >0.01

accept H0