Over the last 20 years, the number of students who hold a jobwhile attending university fulltime has increased. Workresponsibilities may ‘compete’ for time and energy with courseresponsibilities, and consequently, may affect student academicsuccess. An educational researcher is interested in determiningwhether student employment influences academic success. Theresearch has obtained a relevant sample of university students, andhas determined the following information for eachstudent: their employment status (specifically, the typical number ofhours worked per week during the school term) their course grades for the most recent school term(specifically, their mean grade (%) across all their courses duringthe school term).

In our lecture on Planning Ahead: Sampling variability,you were introduced to a set of five (5) questions that can be usedto help decide upon a relevant statistical inference procedure.

1. Identify each of the five (5) questions andanswer each question based on the scenariodescribed above.
2. Based on your answers to part a, identify which of theinference procedures covered in class is most appropriate toanalyse the researcher’s data?
3. Assume the researchers for the above scenario have obtainedrelevant simple random sample(s). Identify (byname) the sampling distribution that underlies the statisticalinference procedure named in part b. Then, give theformulae for the mean and standard deviation for thesampling distribution you have identified.

my answer to a is:

1. The first question is “what is your analysis goal?”. Theanalysis goal based on the scenario above is to determine ifstudent employment has an influence on their academic success. Thesecond question is “how many ‘samples’ or groups are youcomparing?”. Based on the scenario above, the researcher iscomparing a single sample of university students and each studentin the sample is surveyed. The third question is “are you ‘samples’independent or paired?”. In this scenario, the sample isindependent as the data is obtained from each student each case isunrelated to the other. The fourth question is “what type of dataare you collecting? Quantitative or categorical?”. Based on thescenario above, the data being collected quantitative. Both theemployment status and their course grades produce a numerical valueto describe the dat The last question is “what parameters are ofinterest?”. In the above scenario, the parameters of interest arethe hours worked per week and the mean of the student’s coursegrades.