Advertisements by Sylph Fitness Center claim that completing its course will result in losing weight. A random sample of eight recent participants showed the following weights before and after completing the course. At the .01 significance level, can we conclude the students lost weight? 

               Before     After 

Hunter       155       154 

Cashman   228       207 

Mervine      141      147

Massa        162       157 

Creola         211      196 

Peterson    164       150 

Redding      184       170 

Poust           172      165 

(a)State the null hypothesis and the alternate hypothesis. 

(b)What is the critical value of t? 

(c)What is the computed value of t? 

(d)Interpret the result. What is the p-value?

(e)What assumption needs to be made about the distribution of the differences?