Rejection Region for Hypothesis Test

Explanation

Since the alternative is that Mu is bigger than the mean, then it will be located at the upper tail.

To determine the rejection region for a hypothesis test, we need to understand the alternative hypothesis and the significance level of the test. In this case, the alternative hypothesis states that the population mean, represented by μ (Mu), is greater than 6,700.

The rejection region is the range of values that, if observed in the sample data, would lead us to reject the null hypothesis in favor of the alternative hypothesis. It is based on the significance level of the test, which is typically denoted by α (alpha). The significance level represents the maximum probability of rejecting the null hypothesis when it is actually true.

In this scenario, the alternative hypothesis states that μ > 6,700. Therefore, we are interested in detecting whether the population mean is significantly greater than 6,700. To do this, we would conduct an upper-tailed test, as we are focusing on the upper tail of the distribution.

The rejection region for an upper-tailed test is located in the extreme right side of the distribution. It consists of the values that are unlikely to occur if the null hypothesis is true. In other words, if the test statistic falls in this region, we would reject the null hypothesis in favor of the alternative hypothesis.

Based on the given information, the rejection region for the hypothesis test would be the upper tail of the distribution. Therefore, the correct answer is:

D. Upper tail