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{i} {ii} A dietar' supplement has been developed to help with weight loss in the population of older people orf'li years and over. A random sample of 12 people had their weights recorded before using the dietary supplement and again after they had taken the suppllnllt each day for one month. The results are given below. Let 2; = r, :|. he the weight loss for each individual in the study, which is the di'eeence between the weight before {It} and the weight after {)1}. Calculate the weight loss (2!,f = 1 12} and obtain the ve-number summary for {3!}- Checlc using the appropriate :rule for the presence orf'outliers. Draw a hoxplot using the five-number sunnnary of weight loss and comment on the shape ofthe distribution. [13] At a 5% level of signicance test whether the dietary supplement Ins produced a significant decrease in weight. Perform an appropriate test, giving full details {including hypotheses, assumptions, test statistic and rejection region, test decision and conclusion}. [\"1