Question

A physician claims that a person's diastolic blood pressure can be lowered if, instead of taking a drug, the person meditates each evening. Ten subjects are randomly selected and pretested. Their blood pressures, measured in millimeters of mercury, are listed below. The 10 patients are instructed in basic meditation and told to practice it each evening for one month. At the end of the month, their blood pressures are taken again. The data are listed below. Test the physician's claim. Use α = 0.01.

85. 96. 92. 83. 80. 91. 79 98. 93. 96

82. 90. 92. 75. 74. 80. 82. 88. 89. 80

Find the difference by subtracting in the order: Before - After

Find the difference by subtracting in the order: Before - After

State the null and alternative hypotheses.

H₀: μ_d = 0
H_A: μ_d ≠ 0

H₀: μ_d = 0
H_A: μ_d > 0

H₀: μ_d ≠ 0
H_A: μ_d = 0

H₀: μ_d < 0
H_A: μ_d > 0

test stat

p-val

Answer 1

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The hypothesis being tested is:

H0: µd = 0

Ha: µd > 0

The output is:

89.300mean Before

83.200mean After

6.100mean difference (Before - After)

5.527std. dev.

1.748std. error

10n

9df

3.250critical t

3.490t

.0034p-value (one-tailed, upper)

The test statistic is 3.490.

The critical value is 3.250.

Since 3.490 > 3.250, we can reject the null hypothesis.

Therefore, we have sufficient evidence to conclude that a person's diastolic blood pressure can be lowered if the person meditates each evening.