Sample mean, sample size, and population standard deviation provided below: Use the one-sample z-test to perform the required hypothesis test at the 10% significance level.
x̄ = 20, n = 35, σ = 6, H0: μ = 22, Ha: μ < 22
The test statistic z = (x̄ - μ) / (σ / √n) = (20 - 22) / (6 / √35) (Round to two decimal places as needed)
Identify the critical value(s). Select the correct choice below and fill in the answer box within your choice (Round to two decimal places as needed)
The critical values are ±zα/2
The critical value is -zα
The critical value is zα
The null hypothesis: The data provide sufficient evidence to conclude that the mean is less than 22.