The Institute of Educational Sciences published the following results of the Trends in International Math and Science Study. Suppose independent random samples of student’s scores are drawn from each population and assume the populations are normally distributed. USA n1 = 74 x̅1= 538 s1 = 80 Hong Kong n2 = 82 x̅2 = 575 s2 = 70 1) At a level of significance α = .01 can we conclude that students in the USA had a lower population mean score than students in Hong Kong? Support your answer by performing a hypothesis test. 2) Construct a 95% confidence interval for the difference in population means of the test scores. Does your interval support one country did better? Explain.
#1-2: The Institute of Educational Sciences published the following results of the Trends in International Math
and Science Study. Suppose independent random samples of student’s scores are drawn from each
population and assume the populations are
USA n1 = 74 x̅1= 538 s1 = 80
Hong Kong n2 = 82 x̅2 = 575 s2 = 70
1) At a level of significance α = .01 can we conclude that students in the USA had a lower population mean
score than students in Hong Kong? Support your answer by performing a hypothesis test.
2) Construct a 95% confidence interval for the difference in population means of the test scores. Does your
interval support one country did better? Explain.
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