Homework 5 - Spring 2024-1

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Temple University *

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0825

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Sociology

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Apr 3, 2024

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docx

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Uploaded by BrigadierIron95145

Prof. Tesfai Spring 2024 Sociology 0825 Assignment 5 Due 3-25-24 by 11:59pm All assignments must be turned in on Canvas 1. Below is the absolute frequency distribution of self-rated health from the General Social Survey Self Rated Health f Probability Distribution Excellent 21,349 0.49 Good 13,571 0.31 Fair 8,725 0.20 Poor 2,146 0.05 a. Find the probability of each outcome (rounded to two decimal places) (2 points) b. What is the probability that someone is NOT in excellent health (1 point) 0.561 c. The probability that someone is in fair OR poor health (1 point) the probability that someone is in fair or poor health is 0.250. 2. According to the U.S. Census Bureau (2009 ACS Study) the average time that people spend commuting to work each day is  = 42 minutes, with a population level standard deviation of 57 minutes. Assuming that commuting time is normally distributed, answer the following questions: Mean – 42 minutes Standard deviation – 57 minutes Commuting time – 15 mins a. What is the probability that a randomly selected person spends less than 15 minutes commuting? (4 points) -0.4737 b. How likely is it that someone spends 30 minutes or more commuting to work? ( 3 points) 0.5826 c. What is the inter-quartile range for commuting time? (4 points) The IQR range for commuting time is between 25 and 75 th percent d. Researchers examined a sample of 100 commuters to determine the probability that the interval would capture the true parameter in that sample. Find the 95% confidence interval for commuting time. Interpret your answer. (5 points) Using the standard deviation (57) and the mean(42) and 1.96 for Z. after plugging those numbers into the formula we should be able to get a 95% confidence level.

Prof. Tesfai Spring 2024

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