mmHg and a standard deviation of 12.8 mmHg. Find the two blood pressures having these properties: the mean is midway between them and 90% of all blood pressures are between them. (Hint: the area between the two values is 0.9. Since they are symmetrical on either side of the mean, that leaves an area of 0.1 divided by 2 = 0.05 in the tails of the distribution.)

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Solve the problem.
The systolic blood pressures of the patients at a hospital are normally distributed with a mean of 138
mmHg and a standard deviation of 12.8 mmHg. Find the two blood pressures having these
properties: the mean is midway between them and 90 % of all blood pressures are between them.
(Hint: the area between the two values is 0.9. Since they are symmetrical on either side of the mean,
that leaves an area of 0.1 divided by 2 = 0.05 in the tails of the distribution.)
ο οο
126.5 mm Hg, 149.5 mm Hg
116.9
mm Hg, 159.1 mm Hg
117.9
mm Hg, 160.1 mm Hg
O.121.6 mm Hg, 154.4 mm Hg
Transcribed Image Text:Solve the problem. The systolic blood pressures of the patients at a hospital are normally distributed with a mean of 138 mmHg and a standard deviation of 12.8 mmHg. Find the two blood pressures having these properties: the mean is midway between them and 90 % of all blood pressures are between them. (Hint: the area between the two values is 0.9. Since they are symmetrical on either side of the mean, that leaves an area of 0.1 divided by 2 = 0.05 in the tails of the distribution.) ο οο 126.5 mm Hg, 149.5 mm Hg 116.9 mm Hg, 159.1 mm Hg 117.9 mm Hg, 160.1 mm Hg O.121.6 mm Hg, 154.4 mm Hg
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