What is the minimum sample size required? Phd student question in middle of the page. Read care 3131234567100E8130.20000The 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 followingstatements 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.tmmandA 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 hoursper 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-caseestimate of p. Please show your work.The sampling distribution of the sample mean is more spread out when the sample size is larger.W ....F2ص3 ×B IU ACourse grade and study timeA graduate teaching assistant for an introductory statistics course wanted toinvestigate the relationship between a student's self-reported weekly study time(in hours, fraction allowed) for this course and their course grade (out of 100points). She collected information from 44 students. The data from the first 4cases are shown in the table:S DL#3E20F3****isي$4C is3RAFYF41 Home | bartlebyE 5G:11:J. %V sL03 x²x₂ ET ...G6لsYMacBook AirS44FóH&7غTBINY12ptDAdF7J!mio8 AEComplete the following R commands that produce the scatterplot with theoverlying least squares line. Reminder: R is case-sensitive. mod-1m (course_grade study_hours, data-StatCourse)MParagraphDIIFBKXSKN()9 १ O499C²

Question

What is the minimum sample size required? Phd student question in middle of the page. Read care 3131234567100E8130.20000The 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 followingstatements 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.tmmandA 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 hoursper 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-caseestimate of p. Please show your work.The sampling distribution of the sample mean is more spread out when the sample size is larger.W ....F2ص3 ×B IU ACourse grade and study timeA graduate teaching assistant for an introductory statistics course wanted toinvestigate the relationship between a student's self-reported weekly study time(in hours, fraction allowed) for this course and their course grade (out of 100points). She collected information from 44 students. The data from the first 4cases are shown in the table:S >> DL#3E20F3****isي$4C is3RAFYF41 Home | bartlebyE 5G:11:J. >%V sL03 x²x₂ ET ...G6لsYMacBook AirS44FóH&7غTBINY12ptDAdF7J!mio8 AEComplete the following R commands that produce the scatterplot with theoverlying least squares line. Reminder: R is case-sensitive.> mod-1m (course_grade study_hours, data-StatCourse)MParagraphDIIFBKXSKN()9 १ O499C²<FOIA8F10commandA| TP 1INCV.fraltF11{[أى?1optionS1 1UpdateF12;0delet

Accepted Answer

The question is about sample size estimation
Given :
Confidence level = 0.99
Margin of error ( E ) =…