Question

Find the critical values for the following values of the significance level α, sample size n, and alternate hypothesis H 1. α = 0.01, n = 8, (H) with subscript (1): μ ≠ (μ) with subscript (0)

a) -2.998, 2.998
b) -3.499, 3.499
c) -3.355, 3.355
d) -2.326, 2.326

Answer 1

The critical values for α = 0.01, n = 8, and H1: μ ≠ μ0 are -3.355 and 3.355.

Step-by-step explanation:

Hypothesis testing is a statistical method used to make inferences about population parameters based on a sample of data. It involves formulating a hypothesis, collecting data, and using statistical techniques to assess whether the observed data provide enough evidence to reject or not reject the null hypothesis.

The critical values for the given significance level, sample size, and alternate hypothesis can be found using the t-distribution table. For α = 0.01 and n = 8, the critical values are approximately -3.355 and 3.355.

The correct answer is option c) -3.355, 3.355.