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Researchers measured the free calcium concentration in blood platelets of 12 people with normal blood pressure and 25 people with high blood pressure. The results

Researchers measured the free calcium concentration in blood platelets of 12 people with normal blood pressure and 25 people with high blood pressure. The results are given in the table.

Normal

High

95

124

108

136

123

133

115

132

80

123

130

147

110

136

98

152

108

122

107

179

97

201

106

124

189

176

129

143

165

153

142

120

133

178

182

183

140

a. Test the hypothesis that the population variances for platelet calcium are equal for normal and high blood pressure. Use a critical value and alpha= 0.05. (State the null and the alternative hypothesis, determine a critical value, present a test statistic, and provide a p-value and your decision.)

b. Using your conclusion in part a, perform an appropriate test to determine whether platelet calcium means are significantly greater in the high blood pressure group than in the normal blood pressure group. Use alpha = 0.05.(State the null and the alternative hypothesis, determine a critical value, present a test statistic, and provide a p-value and your decision.)

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