We are testing H₀: μ = 32;versus H_A: μ 32.If = 36,s = 1.6,and n = 30,at α = .05,we should reject H₀.

Question

We are testing H₀: μ = 32;versus H_A: μ > 32.If = 36,s = 1.6,and n = 30,at α = .05,we should reject H₀.

Quizplus · Accepted Answer

We need to perform a one-tailed t-test since the alternative hypothesis is one-sided (μ > 32, indicating that we are interested in detecting if the population mean is significantly larger than 32). With a sample mean of 36, sample standard deviation of 1.6, and sample size of 30, we can calculate the t-statistic (t = (36-32)/(1.6/sqrt(30)) = 10.5) and compare it to the critical value from the t-distribution with 29 degrees of freedom and alpha level of .05 (t_c = 1.699). Since the calculated t-value exceeds the critical t-value (10.5 > 1.699), we reject the null hypothesis at the .05 level of significance and conclude that there is evidence to support the alternative hypothesis that the population mean is greater than 32.

We Are Testing H0: μ = 32;versus HA: μ >

We Are Testing H₀: μ = 32;versus H_A: μ >