Means Known Variances Hypothesis Test Using TI-84 Practice 1For x‾1=40,σ1=8.3,n1=40,x‾2=39,σ2=5.8\overline{x}_1=40,\sigma_1=8.3,n_1=40,\overline{x}_2=39,\sigma_2=5.8, & n2=50n_2=50, perform a hypothesis test to test the claim that μ1>μ2\mu_1>\mu_2 for α=0.05\alpha=0.05.

P − v a l u e > α P-value>\alpha P − v a l u e > α ; fail to reject H 0 H_0 H 0 since there is not enough evidence to suggest μ 1 > μ 2 \mu_1>\mu_2 μ 1 > μ 2 .

Means Known Variances Hypothesis Test Using TI-84 Practice 1 For x ‾ 1 = 40 , σ 1 = 8.3 , n 1 = 40 , x ‾ 2 = 39 , σ 2 = 5.8 \overline{x}_1=40,\sigma_1=8.3,n_1=40,\overline{x}_2=39,\sigma_2=5.8 , & n 2 = 50 n_2=50 , perform a hypothesis test to test the claim that μ 1 > μ 2 \mu_1>\mu_2 for α = 0.05 \alpha=0.05 .

P − v a l u e > α P-value>\alpha P − v a l u e > α ; fail to reject H 0 H_0 H 0 since there is not enough evidence to suggest μ 1 > μ 2 \mu_1>\mu_2 μ 1 > μ 2 .

P − v a l u e < α P-value<\alpha P − v a l u e < α ; fail to reject H 0 H_0 H 0 since there is not enough evidence to suggest μ 1 > μ 2 \mu_1>\mu_2 μ 1 > μ 2 .

P − v a l u e > α P-value>\alpha P − v a l u e > α ; reject H 0 H_0 H 0 since there is enough evidence to suggest μ 1 > μ 2 \mu_1>\mu_2 μ 1 > μ 2 .

P − v a l u e < α P-value<\alpha P − v a l u e < α ; reject H 0 H_0 H 0 since there is enough evidence to suggest μ 1 > μ 2 \mu_1>\mu_2 μ 1 > μ 2 .

10. Hypothesis Testing for Two Samples

Two Means - Known Variance

Statistics

10. Hypothesis Testing for Two Samples

Two Means - Known Variance

Struggling with Statistics?

Join thousands of students who trust us to help them ace their exams!Watch the first video

Multiple Choice

Means Known Variances Hypothesis Test Using TI-84 Practice 1
For ${\overline{x}}_{1} = 40, σ_{1} = 8.3, n_{1} = 40, {\overline{x}}_{2} = 39, σ_{2} = 5.8$ , & $n sub 2 equals 50$ , perform a hypothesis test to test the claim that $mu sub 1 is greater than mu sub 2$ for $alpha equals 0.05$ .

$P-value<\alpha$ ; fail to reject $H_0$ since there is not enough evidence to suggest $\mu_1>\mu_2$ .

$P-value>\alpha$ ; reject $H_0$ since there is enough evidence to suggest $\mu_1>\mu_2$ .

$P-value<\alpha$ ; reject $H_0$ since there is enough evidence to suggest $\mu_1>\mu_2$ .

$P-value>\alpha$ ; fail to reject $H_0$ since there is not enough evidence to suggest $\mu_1>\mu_2$ .

5:05m

Watch next

Master Means Known Variances Hypothesis Test Using TI-84 with a bite sized video explanation from Patrick

Start learning

Two Means - Known Variance practice set

Problem sets built by lead tutors

Expert video explanations

Go to Practice