1 look up obtained value in z tableC.1.27: area between mean and z 3979 = 39.79%1.27: area bevond z= XXXXXXXXXX%decision - probability of someone with IQ at least XXXXXXXXXX2. Now, what is the...


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Z-score practice problems:<br>A new Georgia HS aptitude test has scores are normally distributed with a mean of 100 and a standard deviation of 15.<br>Let's use the normal curve to determine the probability of randomly selecting someone from the population with a<br>score as high or higher than a certain amount.<br>1. EXAMPLE: You are a school school psychologist who wants to know the probability of selecting a student from<br>the general population who has a score of at least 119 (Le, 119 or higher).<br>Steps:<br>convert IQ score to Z score (z- X - mean)/std dev)<br>-119-100/15 - 19/15 -z score of + 1.27<br>sketch out what you're looking for -><br>look up obtained value in z table<br>C.<br>1.27: area between mean and z 3979 = 39.79%<br>1.27: area bevond z=0.1020 - 10.20%<br>decision - probability of someone with IQ at least 119 .1020<br>2. Now, what is the probability of selecting a student with a score of 85 or higher?<br>d.<br>a. Convert<br>b. Sketch<br>C.<br>Look up<br>d. Decision<br>3. Now, what is the probability of selecting a student with a score between 20 and 110?<br>a. Convert<br>b. Sketch<br>e Look up<br>d. Decision<br>4. Now, there is a new collegiate scholarship that requires a test score in the top 7%. The school psychologist<br>wants to determine what the cut-off score is for nominating students. What is the (minimum) cut off score for<br>the top 7% of students (hint: sort of a backwards problem -- instead of solving for z, solve for X)?<br>a. Convert<br>b. Sketch<br>C. Look up<br>d. Decision<br>

Extracted text: Z-score practice problems: A new Georgia HS aptitude test has scores are normally distributed with a mean of 100 and a standard deviation of 15. Let's use the normal curve to determine the probability of randomly selecting someone from the population with a score as high or higher than a certain amount. 1. EXAMPLE: You are a school school psychologist who wants to know the probability of selecting a student from the general population who has a score of at least 119 (Le, 119 or higher). Steps: convert IQ score to Z score (z- X - mean)/std dev) -119-100/15 - 19/15 -z score of + 1.27 sketch out what you're looking for -> look up obtained value in z table C. 1.27: area between mean and z 3979 = 39.79% 1.27: area bevond z=0.1020 - 10.20% decision - probability of someone with IQ at least 119 .1020 2. Now, what is the probability of selecting a student with a score of 85 or higher? d. a. Convert b. Sketch C. Look up d. Decision 3. Now, what is the probability of selecting a student with a score between 20 and 110? a. Convert b. Sketch e Look up d. Decision 4. Now, there is a new collegiate scholarship that requires a test score in the top 7%. The school psychologist wants to determine what the cut-off score is for nominating students. What is the (minimum) cut off score for the top 7% of students (hint: sort of a backwards problem -- instead of solving for z, solve for X)? a. Convert b. Sketch C. Look up d. Decision
Jun 09, 2022
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