A reseаrcher cоnducts аn аnalysis оf variance (ANOVA) tо determine whether there are differences in exam grades among students using three different study strategies: re-reading the textbook and class notes (n = 44), taking practice tests available through the textbook publisher's website (n = 39), or generating their own exam questions and practicing answering them (n = 39). The researcher calculates MSbetween = 225 and MSwithin = 40. The ANOVA reveals a significant treatment effect, but the researcher wants to quantify the size of the effect (eta squared). What percentage of the variance in exam scores was accounted for by the type of study strategy that students used? (Hint: Eta-squared is calculated as SSbetween/SStotal , so you will need to work backward from the MS values provided.)
A brаnch оffice оf а teleheаlth grоup associated with a large behavioral health program has one case management software platform connected to an online system and is available for 8 hours each day. Clinicians, who work throughout the valley, drive to the branch office to use the software program to document their client interactions and submit billing codes. The arrival pattern of clinicians is random (Poisson) with an average of 20 clinicians per day. The distribution of time spent by a clinician at the branch office is exponential with an average time of 20 minutes. The director of behavioral health services is concerned that the length of time many of the clinicians must wait to use the case management software at the branch office (there is only 1 terminal) is long. The branch manager has received complaints from clinicians about the length of time many of them wait to use the software. The manager has asked for your help in determining if it would be best to purchase more access terminals for clinicians to use. The manager states that they do not want the clinicians to wait longer than 25 minutes to use the software. Answer the questions below to determine what the manager should do. a. What is the current utilization rate of the software? Please round your answer to 3 decimal places (#.###) (2pts) [PartA] b. On average, how long does a clinician spend at the branch office? Please express your numerical answer with units (e.g., 1 hour, 2 days, etc.) (2pts) [PartB] c. On average, how many clinicians wait in the queue and for how long? Please round both answers to 3 decimal places (#.### clinitians, #.### hours) (6pts) [PartC1-NumberOfClinitians] [PartC2-LengthInQueue] d. If you purchased a second terminal, what would be the new utilization rate and wait time at the branch office? Please round both answers to 3 decimal places (#.###, #.### hours) (6pts) [PartD1-NewUtilRate] [PartD2-NewWaitTime] e. Would you recommend adding terminals, yes or no, and why? If yes, how many? (Hint: Compare the scenarios of without extra terminals vs with extra terminals). Please indicate yes/no/maybe here and discuss why and if yes, how many on your scratch paper. (3pts) [PartE] f. Consider the scenario where the telehealth group incurs a cost for each clinician that waits to use the terminal. Given that clinicians are highly compensated, the penalty cost is $10 per hour per clinician. Additionally, you know that a new terminal will cost $100,000 to implement and $65,000 per year in operating costs (the salary of the additional technician needed to maintain it). Conduct a cost benefit analysis to determine if adding a second terminal is cost effective. Knowing what you do about how the additional terminal reduces the clinicians’ waiting time, would you still recommend the additional terminal given what you found the cost to be? (HINT: compare the hourly costs in the 2 scenarios – With 1 terminal & With 2 terminals). Please indicate yes/no/maybe here and discuss why and show your analysis on your scrap paper. (6pts) [PartF]