Question

A sample of 36 observations is selected from a normal population. The sample mean is 12, and the population standard deviation is 3. Conduct the following test of hypothesis using the 0.01 significance level. H0: μ ≤ 10 H1: μ > 10 Is this a one- or two-tailed test?

Answer 1

Answer: One tail test.

Step-by-step explanation:

Given : A sample of 36 observations is selected from a normal population. The sample mean is 12, and the population standard deviation is 3.

Also, The set of hypothesis to conduct a test :-

$H_0:\mu\leq10\\\\H_1:\mu>10$

The kind of test need to perform is dependent upon the alternative hypothesis.

Since, the alternative hypothesis is one tailed (right-tailed), so the test is one tail test.