In: Statistics and Probability
Assume that you have a sample of n 1 equals 7?, with the sample mean Upper X overbar 1 equals 42?, and a sample standard deviation of Upper S 1 equals 6 comma and you have an independent sample of n 2 equals 17 from another population with a sample mean of Upper X overbar 2 equals 32 and the sample standard deviation Upper S 2 equals 8. Complete parts? (a) through? (d). Click here for page 1 of critical values of t. LOADING...???Click here for page 2 of critical values of t. LOADING... a. What is the value of the? pooled-variance t Subscript STAT test statistic for testing Upper H 0 : mu 1 equals mu 2?? t Subscript STATequals nothing ?(Type an integer or a decimal rounded to four decimal places as? needed.) b. In finding the critical value t Subscript alpha divided by 2?, how many degrees of freedom are? there? nothing degrees of freedom c. Using a significance level of alphaequals0.01?, what is the critical value for a? one-tail test of the hypothesis Upper H 0 : mu 1 less than or equals mu 2 against the alternative Upper H 1 : mu 1 greater than mu 2 question mark The critical value is nothing. ?(Type an integer or a decimal rounded to four decimal places as? needed.) d. What is your statistical? decision? A. Do not reject Upper H 0 because the computed tSTAT test statistic is greater than the? upper-tail critical value. B. Reject Upper H 0 because the computed tSTAT test statistic is less than the? upper-tail critical value. C. Reject Upper H 0 because the computed tSTAT test statistic is greater than the? upper-tail critical value. D. Do not reject Upper H 0 because the computed tSTAT test statistic is less than the? upper-tail critical value.