Question

Are low-fat diets or low-carb diets more effective for weight loss? A simple random sample of 85 adults went on a low-carbohydrate diet for 6 months. At the end of that time, the average weight loss was 4.8 kilograms with a standard deviation 6.04 kilograms. A second simple random sample of 77 adults went on a low-fat diet. Their average weightloss was 4 kilograms with a standard deviation of 5.08 kilograms. Can you conclude that the true mean weightloss differs between the two diets? Use a 10% significance to decide. Group 1: Low-Carb Group 2: Low-Fat Round to the fourth Select the correct alternative sign: μ 1 μ 2 Test Statistic: p-value: Decision Rule: Did Significance Happen? There enough evidence to conclude

Answer 1

here, we will do independent 2 sample t test.( i have not assumed equal variance)

Group 1: Low-Carb Group

Group 2: Low-Fat group

hypothesis:-

given data are:-

.the test statistic be:-

the degrees of freedom be:-

p value = 0.3616

[ using p value calculator for t = 0.915,  df = 159,two tailed test]

decision:-

p value = 0.3616 > 0.10(alpha)

so, we fail to reject the null hypothesis.

i.e no significance is happened.

conclusion:-

there is no significant evidence to conclude that the true mean weight loss differs between the two diets at 10% significance

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