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 40.85 40.45 15.51 15.17 Mean 38.67 39.6 41.39 42.55 SD 15.81 14.97 18.1 13.62 n 121 546 97 253 155 1,172 80 60 40 20 Less than HS HS Jr Cll Bachelor's Graduate Hours worked per week
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 two parameters.
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 or measure of central tendency is a central or typical value for a probability distribution.
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 comparison between two scores that belong to different normal distributions.
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?
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