in a sample of n=10 selected from a left​-skewed ​population, X=63 and S=24​, would you use the t test to test the null hypothesis H0: μ=61​?       Question content area bottom Part 1 Choose the correct answer below.     A. ​Yes, you would use the t test because the sample size is less than 30 and this population size allows for the Central Limit Theorem to take effect.   B. No​, you would not use the t test because the sample size is less than 30 and the population is left-skewed.   C. ​No, you would not use the t test because the sample size is at least 30 and the population is left​-skewed.   D. Yes​, you would use the t test because the sample size is at least 30 and this population size allows for the Central Limit Theorem to take effect.

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Consider the following hypothesis test. Ho : H1 – H2 = 0 H, : 41 – 42 + 0 The following results are from independent samples taken from two populations. Sample 1 Sample 2 n1 = 35 n2 = 40 T1 = 13.6 T2 = 10.1 81 = 5.5 82 = 8.2 a. What is the value of the test statistic (to 2 decimals)? b. What is the degrees of freedom for the t distribution (round the answer to the previous whole number)?

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: ₁₂; a=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 Ha: H1 H2 OE. Ho: H₁ H₂ Ha: H1 H2 Find the standardized test statistic t t= (Round to two decimal places as needed.). OB. Ho: H₁ H₂ Ha: H₁ 24₂ OD. Ho: ₁₂ Ha: H1 H₂ OF. Ho: H₁ H₂ H₂: H₁ H₂ Find the P-value. P=0 (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.