Question 1)

H0: 16.84 vs. HA: > 16.84

What is the test statistic forsample of size 26, mean 13.04, and standard deviation 1.30? Enter the test statistic with 2 decimal places.

Questions 2)

The results of sampling independent populations:

sample 1 from population 1

mean 1000

sample standard deviation 400

sample size 50

sample 2 from population 2

mean 1250

sample standard deviation 500

sample size 75

Test the H0: population 1 mean = population 2 mean at = 0.01. HA: population 1 mean population 2 mean. This is a two-tailed test with both a negative lower critical value and a positive upper critical values. Separate variances in assumed (Multiple choice question).

option A) Test statistic of -3.093 < critical values -1.29. HO rejected. Conclude difference of mean 0.

Option B) Test statistic of -65.28 > critical values -1.29. HO rejected. Conclude difference of mean = 0.

Option C) Test statistic of 65.28 > critical values -2.36. HO is not rejected. Conclude difference of mean = 0.

Option D) Test statistic of -3.09 < critical values -2.62. HO rejected. Conclude difference of mean 0.