Qucstion 6: Circle correct answer choice(s). (i) Let W, X and Y are random variables. Choose the correct statement(s). (iv) The average salary of all female workers at a large plant is $35,000. The...

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Extracted text: Qucstion 6: Circle correct answer choice(s). (i) Let W, X and Y are random variables. Choose the correct statement(s). (iv) The average salary of all female workers at a large plant is $35,000. The average salary of all male workers at the plant is $41,000. If there are more female workers than male (A) If Var(X) = 0.5, Var(2X) = 1 workers at the plant, then the average salary at the plant must be (B) If W = 5X then, W = 5X (A) exactly $38.000 (C) If Var(X) = 0.5, Var(2X +3) = 5 (B) smaller than $38,000 (D) If Y and W are independent, Cou(Y, W) = 0 (C) larger than $38,000 (E) If Var(X) = Var(Y), Var(X - Y) = 0 (D) larger than $41,000 (ii) Choose the correct statement (s). (E) exactly $35.000 (A) Interquantile range (IQR) can be 0. (v) A box contains 12 batteries of which 5 are still working. Anne starts picking batteries (B) We can always find the sample mean of the data set from the box plot. one at a time from the box and testing them. Find the probability that she has to pick 5 batteries in order to find one that works. (C) Mean and median are equal in the case of asymmetric data sets. (D) Variance is always larger or equal to 0. (A) 0.044 (E) mean is not sensitive to outliers in a dataset (B) 0.013 (C) 0.001 (iii) Which of the following is/are false about the standard normal distribution? (D) 0.130 (A) The standard normal curve is symmetric about 0. (E) 0.031 (B) The standard normal curve has a mean of 0 and a standard deviation of 1. (C) About 95% of its observations fall between z = -2 and z = 2. (D) The area under the standard normal curve to the left of z = 0 is negative. (E) The total area under the standard normal curve is 1.