G 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-bar sLC 32 47.3 28.3LF 33 19.3 25.8Is there a difference in the TMDS at week 52? Test the null hypothesis that the dieters' average mood in the two groups is the same. Use a significance level of 0.05.