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The China Health and Nutrition Survey aims to examine the effects of the health, nutrition, and family planning policies and programs implemented by national and local governments. It, for example, collects information on number of hours Chinese parents spend taking care of their children under age 6. The side-by-side box plots below show the distribution of this variable by educational attainment of the parent. Also provided below is the ANOVA output for comparing average hours across educational attainment categories. 150 100- 50- college lower middle school primary school technical or vocational Df Sum Sq Mean Sq F value Pr(>F) 1.26 0.2846 education 4 4142.09 1035.52 Residuals 794 653047.83 822.48 (a) Write the hypotheses for testing for a difference between the average number of hours spent on child care across educational attainment levels. O Ho: µ1 = 2 = P3 = H4 Ha: At least one of the means is different O Ho: H1 = H2 = H3 = H4 = H5 Ha: µ1 * P2 P3 H4 H5 O Ho: µ1 = H2 = 3 = H4 = P5 Ha: At least one pair of means is the same O Ho: µ1 = P2 = H3 = H4 = H5 Ha: At least one of the means is different (b) Carry out the hypothesis test: The value of the test statistic is: (please round to two decimal places) The p-value for this test is: (please round to four decimal places) Explnin th Child care hours

The China Health and Nutrition Survey aims to examine the effects of the health, nutrition, and family planning policies and programs implemented by national and local governments. It, for example, collects information on number of hours Chinese parents spend taking care of their children under age 6. The side-by-side box plots below show the distribution of this variable by educational attainment of the parent. Also provided below is the ANOVA output for comparing average hours across educational attainment categories. 150 100- 50- college lower middle school primary school technical or vocational Df Sum Sq Mean Sq F value Pr(>F) 1.26 0.2846 education 4 4142.09 1035.52 Residuals 794 653047.83 822.48 (a) Write the hypotheses for testing for a difference between the average number of hours spent on child care across educational attainment levels. O Ho: µ1 = 2 = P3 = H4 Ha: At least one of the means is different O Ho: H1 = H2 = H3 = H4 = H5 Ha: µ1 * P2 P3 H4 H5 O Ho: µ1 = H2 = 3 = H4 = P5 Ha: At least one pair of means is the same O Ho: µ1 = P2 = H3 = H4 = H5 Ha: At least one of the means is different (b) Carry out the hypothesis test: The value of the test statistic is: (please round to two decimal places) The p-value for this test is: (please round to four decimal places) Explnin th Child care hours

MATLAB: An Introduction with Applications
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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The China Health and Nutrition Survey aims to examine the effects of the health, nutrition, and family planning policies and programs implemented by national and local governments. It, for example, collects information on number of hours Chinese parents spend taking care of their children under age 6. The side-by-side box plots below show the distribution of this variable by educational attainment of the parent. Also provided below is the ANOVA output for comparing average hours across educational attainment categories. 150- 100 50- 0- college lower middle school primary school technical or vocational Df Sum Sq Mean Sq F value Pr(>F) education 4 4142.09 1035.52 1.26 0.2846 Residuals 794 653047.83 822.48 (a) Write the hypotheses for testing for a difference between the average number of hours spent on child care across educational attainment levels. O Ho: µ1 = H2 = P3 = P4 Ha: At least one of the means is different O Ho: µ1 = P2 = H3 = H4 = P5 Ha: µ1 z P2 *3H4 = H5 O Ho: µ1 = P2 = P3 = H4 = P5 Ha: At least one pair of means is the same O Ho: µ1 = P2 = P3 = H4 = 5 Ha: At least one of the means is different (b) Carry out the hypothesis test: The value of the test statistic is: (please round to two decimal places) The p-value for this test is: (please round to four decimal places) Fxnlain the conclusion of the test in the context of tho ctud Child care hours
Transcribed Image Text:The China Health and Nutrition Survey aims to examine the effects of the health, nutrition, and family planning policies and programs implemented by national and local governments. It, for example, collects information on number of hours Chinese parents spend taking care of their children under age 6. The side-by-side box plots below show the distribution of this variable by educational attainment of the parent. Also provided below is the ANOVA output for comparing average hours across educational attainment categories. 150- 100 50- 0- college lower middle school primary school technical or vocational Df Sum Sq Mean Sq F value Pr(>F) education 4 4142.09 1035.52 1.26 0.2846 Residuals 794 653047.83 822.48 (a) Write the hypotheses for testing for a difference between the average number of hours spent on child care across educational attainment levels. O Ho: µ1 = H2 = P3 = P4 Ha: At least one of the means is different O Ho: µ1 = P2 = H3 = H4 = P5 Ha: µ1 z P2 *3H4 = H5 O Ho: µ1 = P2 = P3 = H4 = P5 Ha: At least one pair of means is the same O Ho: µ1 = P2 = P3 = H4 = 5 Ha: At least one of the means is different (b) Carry out the hypothesis test: The value of the test statistic is: (please round to two decimal places) The p-value for this test is: (please round to four decimal places) Fxnlain the conclusion of the test in the context of tho ctud Child care hours
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