QUESTION 3
A sample mean, sample size, and population standard deviation are given. Use the one-mean z-test to perform the required hypothesis test at the given significance level. Use the critical-value approach.
x̄ = 20.5, n = 11, ̃ = 7.1, H0: ̃ = 18.7; Ha: ̃ ≠ 18.7, ̃ = 0.01
z = -0.84; critical value = 2.575; do not reject H0
z = 0.84; critical value = 2.575; do not reject H0
z = 0.84; critical value = 1.96; do not reject H0
z = 0.84; critical value = 2.575; reject H0
QUESTION 4
A sample mean, sample size, and population standard deviation are given. Use the one-mean z-test to perform the required hypothesis test at the given significance level. Use the critical-value approach.
x̄ = 51, n = 36, ̃ = 3.6, H0: ̃ = 50; Ha: ̃ > 50, ̃ = 0.01
z = 1.67; critical value = 2.33; reject H0
z = 1.67; critical value = 2.33; do not reject H0
z = 1.67; critical value = 1.33; reject H0
z = 0.28; critical value = 2.33; do not reject H0