Question

Suppose that human body temperature are normally distributed with a mean of 98.2 degrees F and a standard deviation of 0.62 degrees F.

1. Physicians want to select the lowest body temperature considered to be a fever and decide that only 5% of the population should exceed the temperature. What values should they use for this temperature?

2. Suppose that one individual is selected at random. Find the probability that their temperature will exceed 100 degrees F.

3. Suppose that 4 individuals are selected at random. Find the probability that the sample mean will exceed 98.7 degrees F

Answer #1

Assume that human body temperatures are normally distributed
with a mean of 98.18 degrees Upper F and a standard deviation of
0.62 degrees Upper F. a. A hospital uses 100.6 degrees Upper F as
the lowest temperature considered to be a fever. What percentage of
normal and healthy persons would be considered to have a fever?
Does this percentage suggest that a cutoff of 100.6 degrees Upper F
is appropriate? b. Physicians want to select a minimum temperature
for requiring...

Assume that human body temperatures are normally distributed
with a mean of 98.19 degrees Upper F and a standard deviation of
0.64 degrees Upper F.
a. A hospital uses 100.6 degrees Upper F as the lowest
temperature considered to be a fever. What percentage of normal and
healthy persons would be considered to have a fever? Does this
percentage suggest that a cutoff of 100.6 degrees Upper F is
appropriate?
b. Physicians want to select a minimum temperature for requiring...

Assume that human body temperatures are normally distributed
with a mean of 98.20℉ with a standard deviation of 0.62℉.
a. A body temperature of 100.4℉ or above is considered to be a
fever. What percentage of people would be expected to have a
fever?
b. What percentage of people are expected to have a temperature
below 98.7℉?
c. Physicians want to select a minimum temperature for requiring
further medical tests. What should the temperature be, if we want
only 2.0%...

Assume that human body temperatures are normally distributed
with a mean of
98.22°F
and a standard deviation of
0.64°F.
a. A hospital uses
100.6°F
as the lowest temperature considered to be a fever. What
percentage of normal and healthy persons would be considered to
have a fever? Does this percentage suggest that a cutoff of
100.6°F
is appropriate?
b. Physicians want to select a minimum temperature for requiring
further medical tests. What should that temperature be, if we want
only...

Assume that the population of human body temperatures has a
mean of 98.6 degrees F, as is commonly believed. Also assume that
the population has a standard deviation of 0.62 degrees F.
If a sample size of n=106 is randomly selected, find the
probability of getting a mean of 98.2 degrees F or lower. (Verify
that the central limit theorem applies if you are using it.)
A study was done with this sample size of 106 randomly selected
adults and...

Healthy people have body temperatures that are normally
distributed with a mean of 98.20∘F and a standard deviation of
0.62∘F
(a) If a healthy person is randomly selected, what is the
probability that he or she has a temperature above 98.7∘F?
answer:
(b) A hospital wants to select a minimum temperature for
requiring further medical tests. What should that temperature be,
if we want only 1.5 % of healthy people to exceed it? answer:
NormalDistribution

Healty people have body temperatures that are normally
distributed with a mean of 98.20 °F and a standard deviation of
0.62 °F .
(a) If a healthy person is randomly selected, what is the
probability that he or she has a temperature above 98.8 °F ?
answer:
(b) A hospital wants to select a minimum temperature for
requiring further medical tests. What should that temperature be,
if we want only 2.5 % of healty people to exceed it?

2. The human body temperature has an average of 98.6° F and
standard deviation of 0.62° F. [10pts] a. State the Central Limit
Theorem. b. Find the probability that 1 randomly selected person
has less than 98.2° F. c. If 106 people are randomly selected, find
the probability that the average temperature for the sample is
98.2° F or lower. d. Given the results, what can you conclude about
this event?

Average temperature of a dog is 37°C, or 98.6°F. A Researcher
reported that it was 98.2°F, with a standard deviation of 0.7°F.
Assume that the body temperatures in degrees F are normally
distributed. If the researchers’ statistics for the mean and
standard deviation are correct:
i) Calculate the probability the average body temperature of
these four dogs is less than 98.5°F. Suppose that a vet nurse takes
the body temperature of 10 dogs, none with illness or disease that
will...

10. A sample of 106 body temperatures with a mean of 98.2 F and
a standard deviation of 0.62 F is given. At a 0.05 significance
level, test the claim that the mean body temperature of the
population is equal to 98.6 F. Assume normality.
a)
b)
c)
d)
e)

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