Using the information below, conduct a hypothesis test using the 4-step approach: H0: μ1 - μ2 = 0 Ha: μ1 - μ2 < 0 α = 0.01 Sample 1: n1 = 8 x1 = 24.56 s^2 1 = 12.4 Sample 2: n2 = 11 x2 = 26.42 s^2 2 = 15.8 Step 1 - State the hypothesis (already done for you...see above). Will this be a one-tailed or a two-tailed test? Step 2 - Set the criteria for a decision. What is your df? Step 3 - Compute the test statistic. Step 4 - Make a decision.
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H0: μ = 36 Ha: μ ≠ 36 n = 51 α = 0.01 x = 38.4 s = 5.93 Step 1 – State the hypothesis (already done for you…see above). Will this be a one-tailed or a two-tailed test? Step 2 – Set the criteria for a decision. Will this be a z-test or a t-test? Step 3 – Compute the test statistic. Step 4 – Make a decision.
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Consider the following hypothesis test. Ho: μ 1 - μ 2 = 0 Ha: μ 1 - μ 2 ≠ 0 The following results are from independent samples taken from two populations. Sample 1 Sample 2 n 1 = 35 n 2 = 40 x̄ 1 = 13.6 x̄ 2 = 10.1 s 1 = 5.1 s 2 = 8.5 a. What is the value of the test statistic (to 2 decimals)? 2.12 b. What is the degrees of freedom for the t distribution? (Round down your answer to the whole number) 73 c. What is the p-value? Use z-table. The area in the upper tail is Select ; two-tailed p-value is between between .02 and .05 . d. At α = .05, what is your conclusion? p-value is equal to 0.05, reject Ho
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Consider the following hypothesis statement using α = 0.05 and data from two independent samples: H0 μ1 - μ2 ≤ 0.5 vs Ha μ1 - μ2 > 0.5 x̄1 = 9.6, s1 = 1.25 and n1 = 26 x̄2 = 8.6, s2 = 4.25 and n2 = 31 Assume the samples are independent and normally distributed with unequal variance. Calculate the test statistic, p-value and state the conclusions Use 3 decimal places and DF = 36.
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