Questions: 1. In comparing the means of 2 groups, the null hypothesis could state: "the population mean of Group 1 is equal to the population mean of Group 2" (T/F)? 2. If you specify that the mean score of one population is going to be significantly higher than the mean score of another population, you are making a directional research hypothesis (T/F)?

1. In comparing the means of 2 groups, the null hypothesis could state: "the population mean of Group 1 is equal to the population mean of Group 2" (T/F)?
2. If you specify that the mean score of one population is going to be significantly higher than the mean score of another population, you are making a directional research hypothesis (T/F)?

Transcript text: 1. In comparing the means of $\mathbf{2}$ groups, the null hypothesis could state: "the population mean of Group 1 is equal to the population mean of Group 2" (T/F)? 2. If you specify that the mean score of one population is going to be significantly higher than the mean score of another population, you are making a directional research hypothesis (T/F)?

Solution

Solution Steps

Step 1: Null Hypothesis Definition

In comparing the means of two groups, the null hypothesis can be stated mathematically as: \[ H_0: \mu_1 = \mu_2 \] where $ \mu_1 $ is the population mean of Group 1 and $ \mu_2 $ is the population mean of Group 2. This statement is true.

Step 2: Directional Research Hypothesis

When specifying that the mean score of one population is significantly higher than the mean score of another population, the hypothesis can be expressed as: \[ H_1: \mu_1 > \mu_2 \] This indicates a directional research hypothesis. This statement is also true.