Homework 5 1) Find the area of the normal curve to the left of the following standard deviations. You shouldn’t have to look them up, use the definition of standard deviation (slide 37 of the lecture...

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Homework 5 1) Find the area of the normal curve to the left of the following standard deviations. You shouldn’t have to look them up, use the definition of standard deviation (slide 37 of the lecture notes. a. 3 below the mean b. 2 below the mean c. 1 below the mean d. The mean e. 1 above the mean f. 2 above the mean g. 3 above the mean 2) Consider the distribution N(10,2) (a normal distribution with a mean of 10 and a standard deviation of 2). Calculate the following. a. The z-score and percentile of a data point at 10 b. The z-score and percentile of a data point at 10.5 c. The z-score and percentile of a data point at 9.5 d. The value of a piece of data at the 50th percentile e. The value of a piece of data at the 30th percentile f. The value of a piece of data at the 70th percentile 3) Calculate the mean and sample standard deviation of the following data set: {1,3,7,6,3,10,12,15,2}