Question: in the american population people that partake in a two...

In the American population, people that partake in a two year Atkins diet program lose an average 7kg (σ = 1.15).

 

A group of Harvard scientists have developed a more aggressive Atkins+ diet that they believe will be a more effective weight loss solution.

 

They randomly select 54 students to participate in a two year study and observe that the recruited participants lost on average 7.4 kilos while on Atkins+.

 

1. What proportion of sample means is above the Harvard students?
2. Would you recommend the Atkins+ diet to a friend? Why?