Answered: 2. Work hours and education. The General Social Survey collects data on demographics, education, and work, among many other characteristics of US residents.…

MATLAB: An Introduction with Applications

6th Edition

ISBN: 9781119256830

Author: Amos Gilat

Publisher: John Wiley & Sons Inc

See similar textbooks

Concept explainers

Inverse Normal Distribution

The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of tw…

Mean, Median, Mode

It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency o…

Z-Scores

A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow compar…

Topic Video

Question

100%

Can you solve this one for me, and add all the calculation steps and interpretation. I also attached the related picture to this question. Thanks

2. Work hours and education. The General Social Survey collects data on demographics, education,
and work, among many other characteristics of US residents. Using ANOVA, we can consider
educational attainment levels for all 1,172 respondents at once. Below are the distributions of
hours worked by educational attainment and relevant summary statistics that will be helpful in
carrying out this analysis.

(a) Write hypotheses for evaluating whether the average number of hours worked varies across
the five groups.
(b) Check conditions and describe any assumptions you must make to proceed with the test.
(c) Below is part of the output associated with this test. Fill in the empty cells.
Df Sum Sq Mean Sq F-value Pr(>F)
degree XXXXX XXXXX 501.54 XXXXX 0.0682
Residuals XXXXX 267,382 XXXXX
Total XXXXX XXXXX
(d) What is the conclusion of the test?

A New tab
C Homework_8.pdf
Po 2021_Final_project.pdf
9 New tab
E Biostatistic Book.pdf
O File | C:/Users/Home/Desktop/MPH/Biostatistic%20PHWM1690L/Homeworks/Homework8/Homework_8.pdf
Sign in
Set Microsoft Edge as the default application for reading PDF files?
Set as default
(a) Write hypotheses for evaluating whether the average number of hours worked varies across
the five groups.
(b) Check conditions and describe any assumptions you must make to proceed with the test.
(c) Below is part of the output associated with this test. Fill in the empty cells.
Df
Sum Sq
Mean Sq
F-value Pr(>F)
degree
501.54
0.0682
Residuals
267,382
Total
(d) What is the conclusion of the test?
3. True/False: ANOVA, Part I. Determine if the following statements are true or false in ANOVA,
and explain your reasoning for statements you identify as false.
(a) As the number of groups increases, the modified significance level for pairwise tests increases
as well.
(b) As the total sample size increases, the degrees of freedom for the residuals increases as well.
3:18 PM
P Type here to search
4/10/2021

New tab
Po Homework_8.pdf
PDE 2021_Final_project.pdf
A New tab
Po Biostatistic Book.pdf
File | C:/Users/Home/Desktop/MPH/Biostatistic%20PHWM1690L/Homeworks/Homework8/Homework 8.pdf
Sign in
Set Microsoft Edge as the default application for reading PDF files?
Set as default
wants to try a new interiace that they think Will encourage new enrollees to compiete more surveys,
where they will randomize each enrollee to either get the new interface or the current interface.
How many new enrollees do they need for each interface to detect an effect size of 0.5 surveys per
enrollee, if the desired power level is 80%?
2. Work hours and education. The General Social Survey collects data on demographics, education,
and work, among many other characteristics of US residents. Using ANOVA, we can consider
educational attainment levels for all 1,172 respondents at once. Below are the distributions of
hours worked by educational attainment and relevant summary statistics that will be helpful in
carrying out this analysis.
Educational attainment
Less than HS
HS Jr Coll Bachelor's
Graduate Total
Мean
38.67
39.6
41.39
42.55
40.85
40.45
SD
15.81
14.97
18.1
13.62
15.51
15.17
121
546
97
253
155
1,172
80
60
40
20
Less than HS
HS
Jr Coll
Bachelor's
Graduate
1
3:16 PM
Type here to search
4/10/2021
近
Hours worked per week

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

Expert Solution