Helen, a lab technician, randomly assigns 15 rats to receive a high protein diet

Question

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 -005 to compare the mean weight gain, in grams (g), of the rats in each group. Because the standard deviations in weight gain differ considerably 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 proteirn Low protein 15 75 g 11 64g 10 g 26 g Test T-Value 1.3328 DF 12 P-value Scroll I Ise software to find the n-value that corresnonds to the t-statistic shown in the table, Report vour arswer tw at east three

Explanation / Answer

Since nothing is mentioned about the hypothesis, then we should use a 2 tail hypothesis. i.e

H0: µ1 = µ2

Ha: µ1 µ2

The p value (2 tail) for t = 1.3328, df = 12 is 0.207

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