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QUESTION 2 A nutritionist claimed there is significant difference in the number of calories served for lunch in pediatric ward at Hospital X and Y. In order to prove the claim is true, the nutritionist collected and analyzed the data using SPSS. The output is given as follow. Assume that the data on the number of calories (kcal) are normally distributed. Group Statistics Hospital N Mean Std. Deviation Std. Error Mean Number of Calories Hospital Y 6 598.6667 53.93206 22.01767 Hospital X 8 517.3750 38.93195 13.76452Independent Samples Test Number of Calories Equal variances Equal variances assumed not assumed Levene's Test for Equality of F 083 Variances Sig. 778 t-test for Equality of Means t 3.288 3.131 df 12 8.721 Mean Difference 81.29167 81.29167 a) By using the Levene's Test for Equality of Variances, can it be concluded that the populations variances are differ? (2 marks) b) Compute the standard error difference for this study. (3 marks) c) Construct a 99% confidence interval for the above study. (3 marks) d) Based on the values in c), is the nutritionist claims' is true? Give a reason to support your answer. (1 mark)