A cognitive psychologist believes that a particular drug improves short term memory. And experiment is conducted in which he randomly selected participants are then tested for retention 15 minutes after the memorization. The number of words correctly recalled by each participant is as follows eight, nine, 10, six, eight, seven, nine, seven, seven. Over the past few years, the psychologist has collected a lot of data using this task with similar participants and the average word correctly recall was six words and the standard deviation is to. Answer the below questions using a=0.05 tail.

A researcher gathered a sample of participants who volunteered for a studying of phobias. She measured anxiety level of participants as they viewed photos of spiders and again when they viewed puppies. Which statistical test is appropriate for this study and why?

What is the name of the test used?

Department of Education was analysing the average mathematics test score in the schools in Victoria. It noticed that there were dramatic differences in scores among the schools. In the attempt to improve the scores of all the schools, department attempted to determine the factors that account for the differences. Accordingly, they took a random sample of 40 schools across the state and for each determined the mean test score last year, the percentage of teachers in the schools who have at least one university degree in mathematics, the mean age and the mean annual income of the mathematics teachers. The following is regression output from Excel.               SUMMARY OUTPUT                     Regression Statistics         Multiple R 0.597512         R Square 0.357021         Adjusted R Square 0.303439         Standard Error 7.724526         Observations 40                     ANOVA             df SS MS F Significance F…