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Minitab procedures - z and t-distributions

# Minitab procedures - z and t-distributions - The Standard...

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The Standard Normal Distribution 1. Finding the area to the left of a specified z-score Find the area to the left of z = 1.645 (1) Choose Calc > Probability Distributions > Normal… (2) Click in the Cumulative Probability circle (3) Check to see that 0 is in the Mean: text box (4) Check to see that 1 is in the Standard deviation: text box (5) Click in the circle next to Input constant: and type 1.645 in the text box (6) Click OK 2. Finding z α Find the value of z 0.025 (1) Choose Calc > Probability Distributions > Normal… (2) Click in the Inverse Cumulative Probability circle (3) Check to see that 0 is in the Mean: text box (4) Check to see that 1 is in the Standard deviation: text box (5) Click in the circle next to Input constant: and type 0.975 in the text box (6) Click OK Exercises (a) P(Z < 1.32) = (b) P(Z > -1.15) = (c) P( 1.28 < Z < 1.64) = (d) Z 0.15 = (e) Z 0.05 = Answer: (a) 0.9066, (b) 0.8749 (c) 0.04977 (= 0.949497 – 0.899727) (d) +1.0364, (e) +1.6449 The t-distributions 1. Finding the area to the left of a specified t-score Find the area to the left of t = 1.645 with df=14 (1) Choose Calc > Probability Distributions > t… (7) Click in the

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