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Assume that you have a sample of n, =7, with the sample mean X, = 42, and a sample standard deviation of S, =6, and
Assume that you have a sample of n, =7, with the sample mean X, = 42, and a sample standard deviation of S, =6, and you have an independent sample of n2 = 14 from another population with a sample mean of X2 = 33 and the sample standard deviation S2 = 8. 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 = 0.05, what is the critical value for a one-tail test of the hypothesis Ho: H, $ 2 against the alternative H1 : H1 > H2? The critical value is. (Round to two decimal places as needed.) d. What is your statistical decision? O A. Do not reject Ho because the computed tSTAT test statistic is less than the upper-tail critical value. O B. Reject Ho because the computed tSTAT test statistic is less than the upper-tail critical value. O C. Reject Ho because the computed tSTAT test statistic is greater than the upper-tail critical value. O D. Do not reject Ho because the computed tSTAT test statistic is greater than the upper-tail critical value
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