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As adults, our body temperatures are nomally distributed with a mean of 98.6 degreees F and a standard deviation of 0.73 degrees F. Sometimes our
As adults, our body temperatures are nomally distributed with a mean of 98.6 degreees F and a standard deviation of 0.73 degrees F. Sometimes our bodies increase in temperature and we say we have a fever. Other times our body temperatures might drop to a place of hypothermia. Extreme fluctuations in either direction might be signals that we need to seek medical help. With this in mind answer the following questions. | ||||
(a) | Describe the graph of this distribution by telling the shape, naming the value at the peak, and giving the horizontal scale values three standard deviations to the left and three standard deviations to the right of the mean. (If you can do so, produce an electronic sketch of the graph to the right.) | |||
shape: | ||||
peak: | ||||
left scale: | ||||
right scale: | ||||
(b) | Find the z-score for a temperature of 97.6F. Then find the z-score for one for a z-score of 100.2 F. | |||
(c) | If x represents a possible normal body temperature, find P(x > 100.1). | |||
(d) | Find P(98 | |||
(e) | What is the minimum normal body temperature to be in the top 5% of all normal body temperatures? | |||
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