Question

1.

Test the hypothesis:

Population appears to be normally distributed.
Given the sample statistics n = 20,  = 8.2, and s = 1.2, find the critical value(s) t_cr and test statistic t for testing the claim μ = 8.6 at significance α = 10%.
Then, state the conclusion of this hypothesis test.

Select one:

t_cr = 1.729, t ≈ 1.491, fail to reject H₀

t_cr = 1.328, t ≈ 1.491, reject H₀

t_cr = −1.328, t ≈ −1.491, reject H₀

t_cr = ±1.729, t ≈ −1.491, fail to reject H₀

2.

Find the critical value and the test statistic for the indicated hypothesis test, then use these values to make a conclusion about the null hypothesis

Test at the significance level α = 2.5% the hypothesis H₀: μ ≥ 4.13, given a sample with n = 25 and  = 3.89, if population σ = 0.6

Select one:

t_cr = −2.060; statistic t = −2.00; reject the null hypothesis

t_cr = 2.064; statistic t = 2.00; fail to reject the null hypothesis

z_cr = −1.96; statistic z = −2.00; reject the null hypothesis

z_cr = −2.24; statistic z = −2.00; fail to reject the null hypothesis

Answer 1