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Assume that you have a sample of n = 8, with the sample mean X = 49, and a sample standard deviation of S
Assume that you have a sample of n = 8, with the sample mean X = 49, and a sample standard deviation of S = 6, and you have an independent sample of n = 16 from another population with a sample mean of X2 = 36 and the sample standard deviation S = 7. Complete parts (a) through (d) below. a. What is the value of the pooled-variance tSTAT test statistic for testing Ho H =H2? STAT (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: HS H against the alternative H: H > H2? The critical value is (Round to two decimal places as needed.) d. What is your statistical decision? A. Do not reject Ho because the computed tSTAT test statistic is less than the upper-tail critical value. B. Do not reject Ho because the computed tSTAT test statistic is greater than the upper-tail critical value. OC. Reject Ho because the computed tSTAT test statistic is greater than the upper-tail critical value. D. Reject Ho because the computed tSTAT test statistic is less than the upper-tail critical value.
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