Homework Assignment #3

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School

University of Texas, Dallas *

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MISC

Subject

Statistics

Date

Feb 20, 2024

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docx

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1

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Homework Assignment 3 Instructions: Solve the following questions by hand. Do not use any statistical program. Show your work. Use standard notations and statistical symbols. Upload the assignment on e-learning where you should see a submission link under “Assignments” folder. Submissions can be made either as a single word doc or a pdf. Three attempts are allowed until the due date. The due date for this assignment is Friday 02/02/24, 6pm . Late assignments will not be accepted. If you have any questions, please contact Maitreyee: maitreyee.kulkarni@utdallas.edu . Q1. In a population of N = 10 scores obtained for a discrete variable for which 0 is not a possible score, the smallest score is X = 8 and the largest is X = 20. What is the range for this population? [1 point] Q2.   What is the value of SS (sum of squared deviations) for the following population? Population: 1, 1, 1, 5 [1 point] Q3. A population has SS = 100 and σ 2 = 5. How many scores are in the population? [1 point] Q4. Compute the variance and standard deviation for the following population. Scores: 1, 4, 5, 2, 5, 7 [2 points] Q5. For the following sample of scores that represent a continuous variable, calculate the range and interquartile range. Then, compute the SS, variance, and standard deviation. Scores: 7, 9, 1, 3 [5 points] Q.6 For a population with µ = 84 and σ = 4, what is the z-score corresponding to X = 80? [1 point] Q7. Consider a population that has a score of X = 15 associated with a z-score of +1.50. What does this z- score indicate about the location of X = 15? Answer briefly in one line. [1 point] Q8. On an exam with µ = 52, a person scores X = 56. Which value for the standard deviation would give this person the highest position in the class distribution? [1 point] Q9. A researcher is interested in examining whether self-affirming oneself leads to decreased anxiety in response to threatening information. The researcher conducts a research study in which an individual is self-affirmed prior to receiving threatening information. Researchers know that, on average, individuals tend to have anxiety levels of µ = 10 with a standard deviation of σ = 2 when presented with this threatening information. If a self-affirmed individual has an anxiety level of X = 5 following the threatening message, it is reasonable to conclude that self-affirmation ______. Answer briefly in one line [2 points]
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