Question

In: Statistics and Probability

Researchers were interested in comparing the long-term psychological effects of being on a high-carbohydrate, low-fat (LF)...

Researchers were interested in comparing the long-term psychological effects of being on a high-carbohydrate, low-fat (LF) diet versus a high-fat, low-carbohydrate (LC) diet. A total of 106 overweight and obese participants were randomly assigned to one of these two energy-restricted diets. At 52 weeks, 32 LC dieters and 33 LF dieters remained. Mood was assessed using a total mood disturbance score (TMDS), where a lower score is associated with a less negative mood. A summary of these results follows.

Group

n

x

s

LC 32 47.4 28.3
LF 33 19.2 25.7

Report the test statistic with the degrees of freedom and the P-value. (Round your value for t to three decimal places, your degrees of freedom to the nearest whole number, and your P-value to four decimal places.)

Solutions

Expert Solution

Answer: Researchers were interested in comparing the long-term psychological effects of being on a high-carbohydrate, low-fat (LF) diet versus a high-fat, low-carbohydrate (LC) diet.

Group

n

x

s

LC 32 47.4 28.3
LF 33 19.2 25.7


Solution :

Conclusion:

Since P-value (0.0001) < α (0.05) significance level.

Reject the null hypothesis Ho. There is sufficient evidence to conclude that effect of low fat diet and low carbohydrate diet is different.


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