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QUESTION 4 A company claims that its 12-week special exercise program significantly reduces weight. A random sample of eleven women engaged in the program. The data were collected and analyzed using SPSS. The results are as follow. Assume that the weights are normally distributed. Paired Samples Test Pair 1 Before - After Paired Differences Mean 19.81818 Std. Deviation 4.68654 df Z Sig. (2-tailed) 000 a) Find the value of Z. (1 mark) b) Construct a 90% confidence interval for the mean. (3 marks) c) Based on the values obtained in b), can it be concluded that the special exercise program reduces their weight? Give a reason to support your answer. (1 mark)

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