5.48 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 (1) HS (2) Jr Coll (3) Bachelor's (4) Graduate (5) Total Mean 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 n 121 546 97 253 155 1172 (a) Write hypotheses for evaluating whether the average number of hours worked varies across the five groups. ( )Ho: μ1 = μ2 = μ3 = μ4 = μ5 Ha: μ1 ≠ μ2 ≠ μ3 ≠ μ4 ≠ μ5 ( )Ho: μ1 = μ2 = μ3 = μ4 = μ5 Ha: At least one pair of means is the same ( )Ho: μ1 = μ2 = μ3 = μ4 = μ5 Ha: At least one of the means is different ( )Ho: μ1 = μ2 = μ3 = μ4 = μ5 = μ6 Ha: At least one of the means is different (b) Below is part of the output associated with this test. Fill in the empty cells (please be accurate to two decimal places). Df Sum Sq Mean Sq F value Pr(>F) degree _____ _ 501.54 _ 0.0682 residuals _ 267382 _ __ _ Total _ _ (c) What is the value of the test statistic associated with this ANOVA test? _____________

Algebra: Structure And Method, Book 1

(REV)00th Edition

ISBN:9780395977224

Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Chapter12: Quadratic Functions

Section12.6: Solving Problems Involving Quadratic Equations

Problem 1.1E

See similar textbooks

Related questions

Concept explainers

Question

5.48 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 (1)	HS (2)	Jr Coll (3)	Bachelor's (4)	Graduate (5)	Total
Mean	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
n	121	546	97	253	155	1172

(a) Write hypotheses for evaluating whether the average number of hours worked varies across the five groups.

( )Ho: μ₁ = μ₂ = μ₃ = μ₄ = μ₅
Ha: μ₁ ≠ μ₂ ≠ μ₃ ≠ μ₄ ≠ μ₅
( )Ho: μ₁ = μ₂ = μ₃ = μ₄ = μ₅
Ha: At least one pair of means is the same
( )Ho: μ₁ = μ₂ = μ₃ = μ₄ = μ₅
Ha: At least one of the means is different
( )Ho: μ₁ = μ₂ = μ₃ = μ₄ = μ₅ = μ₆
Ha: At least one of the means is different

(b) Below is part of the output associated with this test. Fill in the empty cells (please be accurate to two decimal places).

	Df	Sum Sq	Mean Sq	F value	Pr(>F)
degree	_________	_________	501.54	_________	0.0682
residuals	_________	267382	_______	________	_________
Total	________	________	________	_________	_________

(c) What is the value of the test statistic associated with this ANOVA test? _________________
(please round to two decimal places)

80
60
40
20
Less than HS
HS
Jr Coll
Bachelor's
Graduate
00
HI
Hours worked per week

Expert Solution

Trending now

This is a popular solution!

Step by step

Solved in 3 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Point Estimation, Limit Theorems, Approximations, and Bounds$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.

Similar questions