The College Board, administrator of the SAT test for college entrants, has made several changes to..

The College Board, administrator of the SAT test for college
entrants, has made several changes to the test in recent years. One recent
change occurred between years 2005 and 2006. In a press release, the College
Board announced SAT scores for students in the class of 2005, the last to take
the former version of the SAT featuring math and verbal sections. The board
indicated that for the class of 2005, the average SAT math scores continued
their strong upward trend, increasing from 518 in 2004 to 520 in 2005, 14
points higher than 10 years ago and an all-time high. The file titled
MathSAT contains the math SAT scores for the interval 1967 to 2005.

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a. Produce a time-series plot for the combined gender math
SAT scores for the period 1980 to 2005. Indicate the time-series components
that exist in the data.

b. Conduct a test of hypothesis to determine if the average
SAT math scores of students continued to increase in the period indicated in
part a. Use a significance level of 0.10 and the test statistic approach.

c. Produce a forecast for the average SAT math scores for
2010.

 d. Beginning with the March 12, 2005, administration of the
exam, the SAT Reasoning Test, was modified and lengthened. How does this affect
the forecast produced in part c? What statistical concept is exhibited by
producing the forecast in part c?

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