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Two Sample Test Equal Variance The next six questions refer to the following scenario: A random sample of 25 students were asked to self-identify as "statistics-lovers" or statistics-adorers." 16 students self-identified as "lovers" and 9 students as "adorers." Below table summarizes the mean of a statistics test and standard deviation that was given after the self-identification. Test the following hypothesis at alpha -5% (0.05). HO: Mean Statistics Lovers " Mean Statistics Adorers HA: Mean Statistics Lovers . Mean Statistics Adorers You can assume equal variance. Statistics |Statistics Lovers Adorers 16 mean 90 92 Variance 161 Question 31 (1 point) Listen What is the pooled variance? 6.148 6.348 6.548 6.748 Question 32 (1 point) Listen How many degrees of freedom do you have? 017 19 21 23 Question 33 (1 point) Listen What is the standard error of the sampling distribution? 1.00 1.05 1.10 1.15 Question 34 (1 point) Listen What is the absolute critical value at which you reject the null hypothesis? tcritical " 2.960 2.690 2.069 2.906 Question 35 (1 point) Listen What is your test statistic? trash () 1 590 1 509 1.905 1.059