Question

Assume that you have a sample of n₁=8, with the sample mean 44, and the population standard deviation of 8,and you have an independent sample of n₂=16 from another population with a sample mean of 38 and the population standard deviation 4.

What is the p-value for testing Ho: μ1≤ μ2? (a)0.0427 (b)0.0001 (c)0.0212 (d)0.0228 (e)0.0629

Answer 1

As per the given information,

Sample 1:

Sample 2:

The null (Ho) and the alternative hypothesis (Ha) is given by,

It is a right tailed test.

Since, the standard deviation of both the populations under study is known, so z-test for independent samples is applied.

The z-test statistic is given by,

Using the standard normal table, the p-value can be calculated as,

Therefore, the obtained p-value is 0.0228.

Hence, the correct option is (d).