(Solved): Given that many more people are working from home, an independent research agency, reSEARCH, is inv ...
Given that many more people are working from home, an independent research agency, reSEARCH, is investigating how that affects the number of hours worked each day. Another factor of interest is whether or not each participant has children since their presence in a home could also affect the amount of time spent working. reSEARCH conducted a two-factor, independent-measures study investigating the average number of hours worked each week based on work location (from home or at work) and the presence of children in the home (children or no children). The results are summarized in the table below. Using a significance level of
a=0.05, conduct a two-factor ANOVA F test by filling in the missing information below and answering all of the questions. Express any numerical answers rounded to two decimal places. Be sure to use unrounded values within all calculations (even those that have already been expressed as a rounded number). Main Effect A: Work Location Hypotheses:
H_(0):\mu _(A_(F\Pi ))=\mu _(A_(AW))
H_(1):\mu _(A_(III ))!=\mu _(A_(AII ))Test Statistic:
◻Critical Value:
F_(crit _(()()A))=Decision: O reject the null hypothesis fail to reject the null hypothesis Main Effect B: Children in the Home Hypotheses:
H_(0):\mu _(B_(1))=\mu _(B_(C))=\mu _(B_(N))
H_(1):\mu _(B_(1))=\mu _(B_(C))!=\mu _(B_(NC))Test Statistic:
F_(stat_(\Delta ,))=Critical Value
F_(crit _(()()D))=Decision: O reject the null hypothesis fail to reject the null hypothesis Interaction Hypotheses:
H_(0): there is no interaction between work location and presence of children
H_(1): there is interaction between work location and presence of children Test Statistic
F_(stat_(A\times A))=Critical Value Decision: O reject the null hypothesis fail to reject the null hypothesis Overall Conclusion What can you conclude based on the above results?
