"What i v nighest level of education you've completed?" and "If you're employed full-time, how many hours do you spend working at your job during a typical week?" In a recent year, 1125 respondents answered both questions. The summary statistics are given in the chart below. (The sample data consist of the times, in hours per week, that were given by the respondents.) Sample Sample Sample size Groups mean variance Less than h.s. 257 43.1 110.1 High school 292 44.2 84.9 Bachelor's 294 42.7 105.8 Graduate 282 43.6 100.8 Send data to calculator Send data to Excel To decide if there are any differences in the mean hours per week worked by these different groups, we can perform a one-way, independent-samples ANOVA test. Such a test uses the following statistic. Variation between the samples F = Variation within the samples For the data from the survey, F -1.22. (a) Give the p-value corresponding to this value of the F statistic. Round your answer to at least three decimal places. (b) From the survey data, can we conclude that at least one of the groups differs significantly from the others in mean hours worked in a typical week? Use the 0.01 level of significance. O Yes O No

"What i v nighest level of education you've completed?" and "If you're employed full-time, how many hours do you spend working at your job during a typical week?" In a recent year, 1125 respondents answered both questions. The summary statistics are given in the chart below. (The sample data consist of the times, in hours per week, that were given by the respondents.) Sample Sample Sample size Groups mean variance Less than h.s. 257 43.1 110.1 High school 292 44.2 84.9 Bachelor's 294 42.7 105.8 Graduate 282 43.6 100.8 Send data to calculator Send data to Excel To decide if there are any differences in the mean hours per week worked by these different groups, we can perform a one-way, independent-samples ANOVA test. Such a test uses the following statistic. Variation between the samples F = Variation within the samples For the data from the survey, F -1.22. (a) Give the p-value corresponding to this value of the F statistic. Round your answer to at least three decimal places. (b) From the survey data, can we conclude that at least one of the groups differs significantly from the others in mean hours worked in a typical week? Use the 0.01 level of significance. O Yes O No

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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Concept explainers

Correlation

Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.

Linear Correlation

A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related.

Regression Analysis

Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.

Question

"What i
v nighest level of education you've completed?" and "If you're employed full-time, how many hours do you spend working at your job during a typical
week?"
In a recent year, 1125 respondents answered both questions. The summary statistics are given in the chart below. (The sample data consist of the times, in
hours per week, that were given by the respondents.)
Sample Sample Sample
size
Groups
mean
variance
Less than h.s.
257
43.1
110.1
High school
292
44.2
84.9
Bachelor's
294
42.7
105.8
Graduate
282
43.6
100.8
Send data to calculator
Send data to Excel
To decide if there are any differences in the mean hours per week worked by these different groups, we can perform a one-way, independent-samples ANOVA
test. Such a test uses the following statistic.
Variation between the samples
F =
Variation within the samples
For the data from the survey, F - 1.22.
(a) Give the p-value corresponding to this value of the
F statistic. Round your answer to at least three
decimal places.
(b) From the survey data, can we conclude that at
least one of the groups differs significantly from
the others in mean hours worked in a typical
week? Use the 0.01 level of significance.
O Yes
O No

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