Assume that you have a sample of n₁ =9, with the sample mean X₁ = 48, and a sample standard deviation of S₁ = 4, and you

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Assume That You Have A Sample Of N 9 With The Sample Mean X 48 And A Sample Standard Deviation Of S 4 And You 1 (26.36 KiB) Viewed 29 times

Assume that you have a sample of n₁ =9, with the sample mean X₁ = 48, and a sample standard deviation of S₁ = 4, and you have an independent sample of n₂ = 13 from another population with a sample mean of X₂=31 and the sample standard deviation S₂ = 6. Complete parts (a) through (d) below. a. What is the value of the pooled-variance tSTAT test statistic for testing Ho: #₁ = H₂? ISTAT = (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 = 0.25, what is the critical value for a one-tail test of the hypothesis Ho: ₁ μ₂ against the alternative H₁: H1 > H₂? S 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 ISTAT test statistic is greater than the upper-tail critical value. O B. Do not reject Ho because the computed ISTAT test statistic is less than the upper-tail critical value. O C. Reject Ho because the computed ISTAT test statistic is greater than the upper-tail critical value. O D. Reject Ho because the computed tSTAT test statistic is less than the upper-tail critical value.