Test the claim about the difference between two population means ₁ and ₂ at the level of significance a. Assume the samples are random and independent, and the populations are normally distributed. Claim: ₁ μ₂a=0.01. Assume o #02 Sample statistics: x₁=2406, s₁ = 178, n₁ = 14 and X₂=2291, s₂=52, n₂ = 9 Identify the null and alternative hypotheses. Choose the correct answer below. OA. Ho: H₁ H₂ Ha: H₁ H2 OC. Ho: H₁ H₂ H₂: H1> H2 OE. Ho H₁ H₂ Ha: H1 H2 Find the standardized test statistic t t = (Round to two decimal places as needed.). Find the P-value. OB. Ho: ₁ ₂ Ha: H₁ 24₂ OD. Ho: H₁ H₂ H₂: #1 = H₂ OF. Ho: ₁₂ На 11 2 P= (Round to three decimal places as needed.) Decide whether to reject or fail to reject the null hypothesis and interpret the decision in the context of the original claim. Ho There enough evidence at the 1% level of significance to reject the claim.

Test the claim about the population​ mean, μ​, at the given level of significance using the given sample statistics.   ​Claim: μ=40​; α=0.07​; σ=3.78. Sample​ statistics: x=38.2​, n=53 Identify the null and alternative hypotheses. Choose the correct answer below.     A. H0​: μ<40 Ha​: μ=40   B. H0​: μ=40 Ha​: μ≠40   C. H0​: μ=40 Ha​: μ>40   D. H0​: μ>40 Ha​: μ=40   E. H0​: μ≠40 Ha​: μ=40   F. H0​: μ=40 Ha​: μ<

Use a t-test to test the claim about the population mean u at the given level of significance a using the given sample statistics. Assume the population is normally distributed. Claim: µ = 52,500; a = 0.05 Sample statistics: x= 53,637, s= 2400, n = 18 Click the icon to view the t-distribution table. What are the null and alternative hypotheses? Choose the correct answer below. Ο Α. Hρ μ= 52,500 Hai µ#52,500 B. Ho: µ+ 52,500 Hai µ = 52,500 O C. H μ 52,500 Ha: µ 52,500 What is the value of the standardized test statistic? The standardized test statistic is |. (Round to two decimal places as needed.) What is(are) the critical value(s)? The critical value(s) is(are) (Round to three decimal places as needed. Use a comma to separate answers as needed.) Decide whether to reject or fail to reject the null hypothesis. O A. Reject Ho. There is enough evidence to reject the claim. O B. Fail to reject Ho. There is enough evidence to reject the claim. Click to select your answer(s).

Test the claim about the population​ mean, μ​,at the given level of significance using the given sample statistics. Claim: μ=30​ α=0.06​ σ=3.64 Sample​ statistics: x=28.8​, n=80

Test the claim about the population​ mean, μ​, at the given level of significance using the given sample statistics.   ​Claim: μ=50​; α=0.09​; σ=3.33. Sample​ statistics: x=48.2​, n=67       Identify the null and alternative hypotheses. Choose the correct answer below.     A. H0​: μ=50 Ha​: μ≠50 Your answer is correct.   B. H0​: μ=50 Ha​: μ<50   C. H0​: μ≠50 Ha​: μ=50   D. H0​: μ>50 Ha​: μ=50   E. H0​: μ=50 Ha​: μ>50   F. H0​: μ<50 Ha​: μ=50 Calculate the standardized test statistic.   The standardized test statistic is enter your response here. ​(Round to two decimal places as​ needed.)

Test the claim about the population​ mean, μ​,at the given level of significance using the given sample statistics. ​Claim: μ=50​; α=0.08​; σ=3.95. Sample​ statistics: x=49.7​, n=67 a. Identify the null and alternative hypotheses b. Calculate the standardized test statistic. c. Determine the critical​ value(s). d. Determine the outcome and conclusion of the test.

Test the claim about the population​ mean,μ​,at the given level of significance using the given sample statistics. ​Claim: μ≠6000​ α=0.07​ σ=330 Sample​ statistics: x=5600​ n=32

Test the claim about the population​ mean, μ​, at the given level of significance using the given sample statistics. ​Claim: μ≠6000​; α=0.08​; σ=391. Sample​ statistics: x=5900​, n=49   Determine the outcome and conclusion of the test. Choose from the following. A. Reject H0. At the 8​% significance​ level, there is enough evidence to support the claim. B. Fail to reject H0. At the 8​% significance​ level, there is not enough evidence to support the claim. C. Fail to reject H0. At the 8​% significance​ level, there is not enough evidence to reject the claim. D. Reject H0. At the 8​% significance​ level, there is enough evidence to reject the claim.

Test the claim about the difference between two population means µ₁ and µ₂ at the level of significance a. Assume the samples are random and independent, and the populations are normally distributed. Claim: μ₁ μ₂; α=0.10. Assume o² #02 Sample statistics: x₁=2404, s₁ = 177, n₁ = 15 and x₂ = 2299, s₂ = 54, n₂ = 10 Identify the null and alternative hypotheses. Choose the correct answer below. A. Ho: ₁ = ₂ Hai Mi#H2 C. Ho: H₁ H₂ Hai HSM2 E. Ho: H₁ H₂ Ha: ₁ = ₂ Find the standardized test statistic t. t= (Round to two decimal places as needed.) Find the P-value. P= (Round to three decimal places as needed.) Decide whether to reject or fail to reject the null hypothesis and interpret the decision in the context of the original claim. Ho. There enough evidence at the 10% level of significance to reject the claim. B. Ho: H₁ H₂ Ha: ₁ H2

Test the claim about the difference between two population means u, and H2 at the level of significance a. Assume the samples are random and independent, and the populations are normally distributed. Claim: u, = H2; a=0.10. Assume o? =o? Sample statistics: x1 = 33.1, s, = 3.5, n, = 14 and X2 = 35.8, s2 = 2.2, n2 = 19 Identify the null and alternative hypotheses. Choose the correct answer below. O A. Ho: H12 H2 O B. Ho: H1 H H: H1 H2 O C. Ho: H1 Hz Ha: H1 SH2 Find the standardized test statistic t. (Round to two decimal places as needed.) Find the P-value. P= (Round to three decimal places as needed.) Decide whether to reject or fail to reject the null hypothesis and interpret the decision in the context of the original claim. O Time Remaining