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Sample Statistics Population Parameters u - population mean u = EX x - sample mean X = N s - sample stadard deviation o - population stadard deviation E(x-2)2 E(X-H) 2 S = 0 = n-1 N x - X Z score z= Z Score : Z = X-H S Data Value x = (zxs) +x Data Value: X = (z x o) + u Sample variance: $2 - E(x-2) 2 Population variance : 02 _ EX-M)= n-1 N Coefficient of Variation: Coefficient of Variation: CV = = X 100% CV = - X 100% General Addition Rule: P(A or B) = P(A) + P(B) - P(A and B) P(A or B) = P(A) + P(B) if events A and B are mutually exclusive Complement Rule: P(A) = 1- P(AC) Conditional probability: P(B/ A) _ P(A and B) P(A) (Probability of B given A) General Multiplication Rule: P(A and B) = P(A) x P(B/A) Independence: Events A and B are independent if P(B/ A) - P(B) P(A and B) = P(A) x P(B) if A and B are independent eventsAnswer True or False 1) According to the empirical rule (68 - 95 - 99.7 rule), about 95% of data will be found in the interval three standard deviation lower and three standard deviation higher than the mean, True or False? 2) A student's mark on a test has a z score of z = -0.85 with an area of 0.3023 between the mean and z = -0.85. This can be interpreted to mean that about 30.23% of the data in the distribution are in the area between the mean and 0.85 standard deviations above the mean. True or False? 3) A low standard deviation can be interpreted to mean that the data points are close to the mean while a high standard deviation means that the data points are spread out over a large range of value, True or False? 4) z = 1.45 can be interpreted to mean that a given value x is 1.45 standard deviations lower than the mean, True or False? 5) Probability of an event = Number of ways an event can occur Number of possible outcomes . True or False?Question 4 (2 points) ) Listen Find the area Z 2 2. 26 (Sketch the diagram of the area on the normal distribution)Question 3 (2 points) Listen Find the area 0. 96