Select the test statistic
Select the test statistic. In order to test H0: μ ≤ 50 versus Ha: μ > 50, we will test the modified null hypothesis H0: μ = 50 versus Ha: μ > 50. The idea here is that if there is sufficient evidence to reject the hypothesis that μ equals 50 in favor of μ > 50, then there is certainly also sufficient evidence to reject the hypothesis that μ is less than or equal to 50. In order to test H0: μ = 50 versus Ha: μ > 50, we will randomly select a sample of n = 40 new trash bags and calculate the mean of the breaking strengths of these bags. We will then utilize the test statistic
A positive value of this test statistic results from an that is greater than 50 and thus provides evidence against H0: μ = 50 and in favor of Ha: μ > 50.