Question

A diet center claims that it has the most effective weight loss program in the region. Its advertisements say, “Participants in our program lose more than 2 pounds within a month.” Six clients of this program are weighed on the first day of the diet and then one month later. Let the difference be defined as Weight on First Day of Diet minus Weight One Month Later. (You may find it useful to reference the appropriate table: z table or t table)

Client	Weight on First Day of Diet	Weight One Month Later
1	167	175
2	218	198
3	187	186
4	205	194
5	162	153
6	131	136
What is the test stat?

Answer 1

Here the hypothesis under consideration is :

or in other words   

notation holds usual meaning .

Test statistic :

where

  

Here , n = 6 . `

we calculate , the mean and sd using calculator :

x1   x2   d
167   175   -8
218   198   20
187   186   1
205   194   11
162   153   9
131   136   -5

So, test statisctic :