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1. Summary statistics of the scores in an exam are given below: Variable N Mean StDev Q1 Median Q3 Score 200 68 8.181 63.745 68.490

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1. Summary statistics of the scores in an exam are given below: Variable N Mean StDev Q1 Median Q3 Score 200 68 8.181 63.745 68.490 74.069 What will be the mean, standard deviation and IQR of the scores, if we transform these scores by multiplying each score by 1.1 and then adding 5 (i.e if we apply the transformation me = 1.1 x Xom + 5). Show your work clearly. 2. A mail carrier covers his or her route in a time that has a normal distribution with mean 380 minutes and standard deviation 16 minutes. What proportion of the time does the mail carrier cover the route: (a) in less than 330 minutes? (b) in between 330 and 370 minutes? Show your calculations in each case

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