Helen, a lab technician, randomly assigns 15 rats to receive a high protein diet and 11 rats to receive a low protein diet as part of a nutrition study. After three months, she uses a two-sample t-test at a significance level of a = 0.05 to compare the mean weight gain, in grams (g), of the rats in each group. Because the standard deviations in weight gain differ considerab across the two samples, Helen does not assume the population standard deviations are equal. Some of the results of the test are shown in the table, where N is the sample size, Mean is the sample mean, StDev is the sample standard deviation, T-Value is the t-statistic, and DF is the approximate degrees of freedom used in the test. Descriptive Statistics: Weight Gain by Diet Diet N Mean StDev High protein 15 65 g 20 g Low protein 11 60g 7 g Test T-Value DF P-value 0.8963 18 Use software to find the p-value that corresponds to the t-statistic shown in the table. Report your answer to at least thre decimal places. p-value .005 %3D

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