Question

A sample of 44 observations is selected from one population with a population standard deviation of 4.9 the sample mean is 102.0 a sample 45 observations is selected from a second population with a population standard deviation of 3.8 the sample mean is 100.6 conduct the following test of hypothesis using 0.2 significance level

Answer 1

For this hypothesis test, the appropriate distribution to use is the z-distribution.

Step-by-step explanation:

In this question, we are given the sample mean, sample standard deviation, and sample size from a normally-distributed population. We need to determine the appropriate distribution to use for a hypothesis test. Since the population standard deviation is known, we can use the z-distribution. The z-distribution is appropriate when the population standard deviation is known and the sample size is large (usually more than 30). Therefore, for this hypothesis test, we should use the z-distribution.