A teacher was interested in finding out whether a special study program would increase the scores of students on a national exam. Fourteen students were selected and paired according to IQ and scholastic performance. One student from each pair was randomly selected to participate in the special program, with the other student participating in the standard program. Both programs ended at the same time. Shortly thereafter, the students took the national exam. The results were as follows:

Special program

66

82

96

72

78

82

67

Standard program

60

79

92

73

75

80

69

Descriptive statistics for two-sample test

Variable N Mean StDev

Special Program 7 77.571 10.454

Standard Program 7 75.429 9.947

Descriptive statistics for paired test

Variable N Mean StDev

Special - Standard 7 2.14 2.79

1. What what is the appropriatechoice of H_a?
2. what is the value of test statistic? Round your answer to two decimal places.
3. what is the rejection region?
4. what is your conclusion?