Consider the following competing hypotheses and accompanying sample data. Use Table 2.

H0: 1 - 2 = 7

HA: 1 - 2 7

12formula21.mml = 54 12formula22.mml = 40

s1 = 22.5 s2 = 16.2

n1 = 24 n2 = 19

Assume that the populations are normally distributed with unknown but equal variances.

a. Calculate the value of the test statistic. (Round intermediate calculations to at least 4 decimal places and final answer to 2 decimal places.)

Test statistic

b.Using thep-value approach, test the above hypotheses at the 10% significance level.Thep-value is(Click to select)

0.20 < p-value < 0.40

0.05 < p-value < 0.10

0.01 < p-value < 0.05

(Click to select)(Reject,Do not reject)H₀. At the 10% significance level, we(Click to select)(can,cannot conclude) that the difference between the means differs from 7.

c.Repeat the analysis using the critical value approach.(Round your answer to 3 decimal places.)The critical value is_________.(Click to select)(Reject,Do not reject)H₀.