A PhD student in the sociology department tries to construct a 99% confidence interval for the proportion of full-time undergraduate students who work at least 20 hours per week in their jobs. He wants the margin of error to be within 0.025 (or 2.5 percentage points). What is the minimum sample size required? You may use the worst-case estimate of p. Please show your work.
A PhD student in the sociology department tries to construct a 99% confidence interval for the proportion of full-time undergraduate students who work at least 20 hours per week in their jobs. He wants the margin of error to be within 0.025 (or 2.5 percentage points). What is the minimum sample size required? You may use the worst-case estimate of p. Please show your work.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Question
What is the minimum
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The population distribution of income is known to be right-skewed. Suppose we take a random sample of the U.S. residents and record their incomes. Which of the following
statements about the sample mean (the average income based on the sample) are true? Please select all that apply.
With a sufficiently large sample size, the sampling distribution of the sample mean resembles the shape of the population distribution.
The sampling distribution of the sample mean is less spread out when the sample size is larger.
With a sufficiently large sample size, the sampling distribution of the sample mean is approximately normal.
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A PhD student in the sociology department tries to construct a 99% confidence interval for the proportion of full-time undergraduate students who work at least 20 hours
per week in their jobs. He wants the margin of error to be within 0.025 (or 2.5 percentage points). What is the minimum sample size required? You may use the worst-case
estimate of p. Please show your work.
The sampling distribution of the sample mean is more spread out when the sample size is larger.
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Course grade and study time
A graduate teaching assistant for an introductory statistics course wanted to
investigate the relationship between a student's self-reported weekly study time
(in hours, fraction allowed) for this course and their course grade (out of 100
points). She collected information from 44 students. The data from the first 4
cases are shown in the table:
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> mod-1m (course_grade study_hours, data-StatCourse)
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