A researcher wants to know

wandering (i.e., the tendency for your mind to drift away from the present moment) varies depending on the type of task people are completing. The researcher recruits 12 total participants and randomly assigns each of them to either work on a math problem, read a book, or perform a physical activity for an hour. There ended up being four different participants in each condition. The researcher then asks the participants to report the number of minutes that they spent mindwandering during the activity. The average amount of mind-wandering that occurred amongst the four participants in each condition are reported in the table below: Math Problem Reading Physical Activity 35 18 7 27 22 9 21 16 14 13 20 14 MMath = 24.00 MReading= 19.00 MPhysical = 11.00 Using the appropriate hypothesis test and following the steps of hypothesis testing, see what the researcher should conclude about the effect of type of activity on mind-wandering. Which of the following are the test's assumptions? Choose all that app_ly_. C] The cases in the sample are independent of each other. C] The variances across all conditions are equal. C] The dependent variable is normally distributed. C] The sample was randomly drawn from the population. State whether you decide to reject, or fail to reject, the null hypothesis, and choose the correct explanation for why you made that decision. 0 Reject the null hypothesis; the probability ofobtaining this sample mean difference when the null hypothesis is true is less than 5% (p .05) O Fail to reject the null hypothesis; the probability of obtaining this sample mean difference when the null hypothesis is true is greater than 5% (p > .05) O Fail to reject the null hypothesis; the probability of obtaining this sample mean difference when the null hypothesis is true is less than 5% (p