ExamView+-+Psych+270+Exam+2+Fall+2018

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Nov 24, 2024

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1 Name: ________________________ Class: ___________________ Date: __________ Exam 2 Please show all of your work!! Short Answer 1. For a population with  = 40 and  = 8, find the z-score corresponding to each of the following X values: (a) X=42, Z=__0.25__ (c) X=36, Z=__-0.5____ (b) X=52, Z=__1.5__ (d) X=32, Z=__-1____ Using ? = 𝑋−𝜇 𝜎 a. ? = 42−40 8 = 0.25 b. ? = 52−40 8 = 1.5 c. ? = 36−40 8 = -0.5 d. ? = 32−40 8 = -1 __________________________Show your Work___________________________

Name: ________________________ ID: A 2 2. For a sample with M = 38 and s = 12, find the X value that corresponds to each of the following z-scores: (a) Z= –0.25, X=__35___ (c) Z= 0.50, X=__44___ (b)Z= –1.50, X=__20___ (d) Z=2.00, X=__62___ Using ? = 𝑋−𝑀 𝑠 𝑋 = ?𝑠 + 𝑀 a. 𝑋 = (−0.25 ∗ 12) + 38 X= 35 b. 𝑋 = (−1.5 ∗ 12) + 38 X= 20 c. 𝑋 = (0.5 ∗ 12) + 38 X= 44 d. 𝑋 = (2 ∗ 12) + 38 X= 62

Name: ________________________ ID: A 3 __________________________Show your Work___________________________ 3. Use the following Population Scores to answer questions 1-5 below. Individuals A B C D E F G H I J Score 12 12 7 10 9 12 13 8 9 8 ____Calculate the z-score for the following X scores: (a) X=12, Z=__1___. (c) X=7, Z=_-1.5___. (b) X=10, Z=___0__. (d) X=8, Z=__-1___. 𝑀??𝑛 (𝜇) = 12+12+7+10+9+12+13+8+9+8 10 = 10

Name: ________________________ ID: A 4 Variance ( 𝜎 2 ) = ∑(𝑋−𝜇) 2 𝑛 = (12−10) 2 +(12−10) 2 +(7−10) 2 +⋯……..+(8−10) 2 10 = 40 10 = 4 𝜎 = √4 = 2

Name: ________________________ ID: A 5 Using ? = 𝑋−𝜇 𝜎 a. ? = 12−10 2 = 1 b. ? = 10−10 2 = 0 c. ? = 7−10 2 = −1.5 d. ? = 8−10 2 = −1

Name: ________________________ ID: A 6

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