In: Statistics and Probability
The management of a Health Club claims that its members lose an average of 10 pounds or more within the first month after joining the club. A consumer agency that wanted to check this claim took a random sample of 36 members of this health club and found that they lost an average of 9.2 pounds within the first month of membership with a standard deviation of 2.4 pounds. At the 10% significant level, can the consumer agency conclude that the Club is telling the truth?