Question: Consider the following summary statistics, calculated from two independent random samples taken from normally distributed populations. Sample 1 Sample 2 c1 = 122.4 TO =

Consider the following summary statistics, calculated from two independent random samples taken from normally distributed populations. Sample 1 Sample 2 c1 = 122.4 TO = 125.9 87 = 6.79 85 = 7.97 21 = 17 ng = 20 Test the null hypothesis Ho : #1 = /2 against the alternative hypothesis HA : /1 > /2 , at the 10% level of significance. a) Calculate the pooled standard deviation, Sp Round your response to at least 3 decimal places. Number b) Calculate the test statistic for the pooled-variance t procedure. Round your response to at least 3 decimal places. Number c) What is the appropriate conclusion that can be made? O At the 10% level of significance, there is sufficient evidence to reject the null hypothesis and therefore evidence that the mean of Population 1 is greater than the mean of Population 2. O At the 10% level of significance, there is insufficient evidence to reject the null hypothesis, and therefore no significant evidence that the population means are not equal to each other
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