Human body temperatures are normally distributed with a mean of 98.20degreesF and a standard deviation of 0.62 degrees

Mathematics

2 answers:

garik1379 [7]3 years ago

6 0

Answer with explanation:

The formula of Z score is

$Z_{Score}=\frac{\Bar X-\mu}{\sigma}\\\\ Z_{7 \text{Percent}}$

The value of temperatures are that separates the top 7% from the bottom 93% are:⇒

98.53 < Temperature in degrees < 98.72

iogann1982 [59]3 years ago

3 0

Answer: The temperature that separates the top 7% with the bottom 93% is 99.12 degrees.

The z-score that corresponds to 93% is about 1.48. If we write the equation for the z-score, we can solve for the missing temperature.

The equation would be:
(x - 98.2) / 0.62 = 1.48
x - 98.2 = 0.9176
x = 99.12 degrees

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