To test the effectiveness of a three-month yoga regimen, the resting heart rate of eight randomly selected subjects was measured before and after.Here is the data:

Before

After

Person 1

81

80

Person 2

75

69

Person 3

72

69

Person 4

98

93

Person 5

63

66

Person 6

58

55

Person 7

77

72

Person 8

68

61

Assume that the population of differences is normal.Test the claim that, on average, the resting heart rate of a person is lower after a three month yoga regimen.

1. State the null and alternative hypothesis.
2. State the P-value.
3. State your conclusion.