The systolic blood pressure (given in millimeters) of males has an approximately normal distribution with mean μ = 135 and standard deviation σ = 12.
(a) Calculate the z-scores for the male systolic blood pressures 130 and 140 millimeters. (Round your answers to two decimal places.)
130 mm | z | = | |
140 mm | z | = |
(b) If a male friend of yours said he thought his systolic blood
pressure was 2.5 standard deviations below the mean, but that he
believed his blood pressure was between 130 and 140 millimeters,
what would you say to him? (Enter your numerical answer to the
nearest whole number.)
He is (correct, incorrect) because 2.5 standard deviations below the mean would give him a blood pressure reading of millimeters, which is ---( below, above) in the range of 130 to 140 millimeters.
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