The following table lists the weight of individuals before and after taking a diet prescribed by a weightloss companyr for a monr: Weight-loss Data Individual Weight Before Weight After Weight Loss (lb) (lb) (lb) A 130. 3 12 1 9.3 B 127.2 116.4 10.8 C 128.5 1 18.6 9.9 D 196.0 179.9 15.1 E 138.2 130.7Ir 7.5 F 143.3 126.8 15.5 You may nd this Student's t distriJuon table useful in answering re following questions. You may assume that re differences in weight are normally distributed. a) Calculate re sample variance (5'12) of the changes in individual weights. Give your answer to 2 decimal places. b) A disgruntled customer states: "This weightloss company is a complete faroe. All the people I know who signed up experienced no changes in their weight at all. I seriously doubt this diet has any effect whatsoever. I want my moneyr back!" You plan to do a hypothesis test on this claim where the hypotheses are: Ho: the customer's claim is true and the program has no effect on weight HA: the customer's claim is not true and the program does have an effect on weight, whether it increases or decreases According to the data given, you should the null hypothesis at a condence level of 99%