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There has been an increasing emphasis in recent years to make sure that young women are given the same opportunities to develop their mathematical skills as males in U.S. educational systems. The following table provides the average SAT scores for male and female students over the past 35 years. Plot the four separate time series.

Gender/Type Year
1967 1970 1975 1980 1985 1990 1993 1994 1995 1996 2000 2001 2002
Male/Verbal 540 536 515 506 514 505 504 501 505 507 507 509 507
Female/Verbal 545 538 509 498 503 496 497 497 502 503 504 502 502
Male/Math 535 531 518 515 522 521 524 523 525 527 533 533 534
Female/Math 495 493 479 473 480 483 484 487 490 492 498 498 500

a. Plot the four separate time series and describe any trends in the separate time series.

b. Do the trends appear to imply a narrowing in the differences between male and female math scores?

c. Do the trends appear to imply a narrowing in the differences between male and female verbal scores?

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