Are low-fat diets orlow-carbdiets more effective for weight loss? A sample of82 subjects went on alow-carbohydratediet for six months. At the end of that time, the sample mean weight loss was3.2 kilograms with a sample standard deviation of7.24 kilograms. A second sample of81 subjects went on a low-fat diet. Their sample mean weight loss was5.0 kilograms with a standard deviation of7.62 kilograms. Can you conclude that the mean weight loss of subjects having low-carb diets is less than the mean weight loss of subjects having low-fat diets? Let1 denote the mean weight loss on thelow-carbdiet and2 denote the mean weight loss on thelow-fatdiet. Use the=0.1 level and the critical valuemethod.

Find the critical value(s). Round the answer to three decimal places. If there is more than one critical value, seperate them with commas.

Compute the test statistic. Round the answer to three decimalplaces.