Question

Consider the following hypothesis test. H0:mean 1 -mean 2 ≤ 0 Ha: mean1 -mean 2 > 0 The following results are for two independent samples taken from the two populations. Sample 1 and sample 2:

n 1 = 40 n 2 = 60

x 1 = 25.7 x 2 = 22.6

σ 1 = 5.6 σ 2 = 6

a. What is the value of the test statistic (round to 2 decimals)?

b. What is the p-value (round to 4 decimals)? Use z-table. Use z-value rounded to 2 decimal places.

c. With = .05, what is your hypothesis testing conclusion?

p-value is ___ h0

Answer 1

The statistical software output for this problem is :

Test statistics = 2.64

P-value = 0.0042

P-value is < 0.05 , reject H0