Resources Lx Give Up? Feedback Stacked At Since obtaining measurements of the human brain is difficult with living subjects, Gladstone (1905) used cadavers to investigate if there was a relationship between a subject's head size (in cubic centimeters) and his or her brain weight (in grams). This linear regression model was fit using 50 randomly selected cadavers from Gladstone's study, where X is the predictor variable head size and Y is the predicted response variable brain weight. The standard error of the slope coefficient for this model, SEb, is 0.0233. Y = 342.0134 + 0.2585X Using this regression line, suppose Gladstone wishes to conduct a two-tailed t-test to test the hypothesis that subjects with larger head sizes will have either smaller or larger brain weights. Let a = 0.05 and assume that all of the necessary conditions are met for this linear regression model. Let f represent the slope of the population regression line. Source: R.J. Gladstone (1905). "A Study of the Relations of the Brain to to the Size of the Head", Biometrika, Vol. 4, pp 105-123 Assuming a = 0.05, use software or a t-table to determine if Gladstone should reject or fail to reject the null hypothesis from his two-tailed t-test. Select the correct statement. O Gladstone should fail to reject Ho because the t-statistic is smaller than the two-tailed critical value and P > 0.05. should fail to reject Ho because the t-statistic is larger than the two-tailed critical value and P 0.05. Gladstone should fail to reject Ho because the t-statistic is larger than the two-tailed critical value and P 0.05. Select the appropriate conclusion based on Gladstone's decision about the null hypothesis. There is sufficient evidence to conclude that there is no linear relationship between head size and brain weight. There is sufficient evidence to conclude that there is a strong, positive linear relationship between head size and brain weight. There is insufficient evidence to conclude that there is a linear relationship between head size and brain weight. There is sufficient evidence to conclude that there is a linear relationship between head size and brain weight. Incorrect