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Assume that you have a sample of n, =9, with the sample mean X, =50, and a sample standard deviation of S, =6, and you

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Assume that you have a sample of n, =9, with the sample mean X, =50, and a sample standard deviation of S, =6, and you have an independent sample of no = 12 from another population with a sample mean of X, = 37 and the sample standard deviation S2 = 7. Complete parts (a) through (d) below. a. What is the value of the pooled-variance tSTAT test statistic for testing Ho: H1 = H2? tSTAT = (Round to two decimal places as needed.) b. In finding the critical value, how many degrees of freedom are there? degrees of freedom (Simplify your answer.) c. Using a significance level of a = 0.1, what is the critical value for a one-tail test of the hypothesis Ho: My $ 2 against the alternative H, : #1 > 12? The critical value is. (Round to two decimal places as needed.) d. What is your statistical decision? O A. Reject Ho because the computed tSTAT test statistic is greater than the upper-tail critical value. O B. Do not reject Ho because the computed tSTAT test statistic is greater than the upper-tail critical value. O C. Do not reject Ho because the computed tSTAT test statistic is less than the upper-tail critical value. O D. Reject Ho because the computed tSTAT test statistic is less than the upper-tail critical value

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