From the Data Bank, select a random sample of at least 30 individuals, and test one or more of the following hypotheses by using the z test. Use α = 0.05.

a. For serum cholesterol, H₀ : µ = 220 milligram percent (mg%). Use σ = 5.
b. For systolic pressure, H₀ : µ = 120 millimeters of mercury (mm Hg). Use σ= 13.
c. For IQ, H₀ : µ = 100. Use σ= 15.
d. For sodium level, H₀ : µ = 140 milliequivalents per liter (mEq/l). Use σ= 6.

Data from data bank appendix B

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Data Bank 88888 ID number 03 Age 05 19 06 56 65 36 43 47 48 25 07 08 09 10 11 12 13 14 63 01 27 2 1 193 126 118 136 F 02 18 1 0 1 145 210 120 105 137 M S 32 2 0 0 118 196 128 115 135 F M 24 2 0 1 162 208 129 108 142 M M 1 2 0 106 188 119 106 133 F S 1 0 0 143 206 136 111 138 F W 1 2 0 160 240 131 99 140 M W 2 1 0 215 215 163 106 151 M D 1 0 1 127 201 132 111 134 F M 1 1 132 215 138 109 135 F D 1 2 196 199 148 115 146 M D 2 3 109 210 115 114 141 F S 1 0 170 101 152 F D 0 3 187 109 144 M M 37 Educational level Smoking status Exercise 1 3 2 0 2 Weight Serum cholesterol 1 120 Systolic pressure Sodium 242 149 193 142 Gender Marital status