A medical researcher claims that calcium supplements can decrease the systolic blood pressures of men. In part of the study, 10 randomly selected men are given a calcium supplement for 12 weeks. The table shows the systolic blood pressures (in millimeters of mercury) of the 10 men before and after the 12-week study. At α = 0.10, is there enough evidence to support the medical researcher’s claim?

(a) Identify the claim and state H₀ and H_a,

(b) Find the critical value(s) and identify the rejection region(s),

(c) Calculate d̅ and s_d,

(d) Find the standardized test statistic t,

(e) Decide whether to reject or fail to reject the null hypothesis,

(f) Interpret the decision in the context of the original claim. Assume the samples are random and dependent, and the populations are normally distributed. If convenient, use technology.

Patient Systolic blood pressure (before 107 110 123 129 112 Systolic blood pressure (after)100 114 105 112 115 6 7 89 10 Patient Systolic blood pressure (before 1 107 12 136 102 Systolic blood pressure (after) 116 106 102 125 104