Question

Given the following hypotheses:

H0=590
Ha>590
A random sample of 15 observations is selected from a normal population. The sample mean was 595, and the sample standard deviation was 8. Using the 0.05 significance level:
State the decision rule. (Negative amounts should be indicated by a minus sign. Round your answers to three decimal places.) Rejection of H0 when the test statistic is outside (, ).

a) z>1.645
b) z>1.959
c) z>1.282
d) z>1.833

Answer 1

The decision rule for this hypothesis test is z > 1.645. In other words, the null hypothesis (H0) will be rejected if the test statistic (z-score) is greater than 1.645.

The answer is option ⇒a

Step-by-step explanation:

The decision rule for this hypothesis test is z > 1.645. In other words, the null hypothesis (H0) will be rejected if the test statistic (z-score) is greater than 1.645.

This means that if the calculated z-score from the sample data is greater than 1.645, we will reject the null hypothesis and accept the alternative hypothesis (Ha).

The answer is option ⇒a