MA207 Final Exam - Takehome Portion
For each of the problems below, use the technology guide to perform a statistical analysis.
You should justify your choice of method, including any assumptions made in the use of the method.
You should indicate whether a two-tailed, left-tailed, or right-tailed analysis is appropriate,
and, in hypothesis testing problems, state the null and alternative hypotheses.
If the problem does not specify a level of significance, you should choose one.
Problem 1
SAT English Test scores from a sample of 120 students in an inner city school district average 492, while 114 scores from a suburban district averaged 504. If the test is standardized to have a mean of 500 and a standard deviation of 100, does this indicate a significant difference in scores for the two districts?
Problem 2
Prior to enactment of antiterror legislation published data on graduate mathematics programs indicates that on average 36.1 applications from foreign students are received each year. Three years after the enactment of the legislation, a sample of 94 graduate programs shows an average of 23.1 foreign applicants with a standard deviation of 10.8. Does this data support the claim that that the number of foreign applicants is the same as before the legislation was enacted?
Problem 3
In a large city emergency medical services records indicate that 81% of patients transported to emergency rooms have health insurance. In a sample of 160 patients transported to a particular hospital, 118 were found to have health insurance. EMS claims that they do not consider insurance when deciding which emergency room they will transport a patient to. Does this data support their claim?