Question

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?

Answer #1

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...

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...

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)

It’s commonly known that the average human body temperature is
98.6 degrees F, right? A group of scientists used smartphones to
measure the body temperature of many people using their wearables
(Apple Watches, Fitbits, etc) and compared the average body
temperature of their sample to the expected population mean of
98.6.
a) Define the null and make a decision about it by doing the
following: Using words and specific values (not something
like “μ1 = μ2”), report the specific null...

(a) Assume that the population of human body temperatures has a
mean of 98∘F as is commonly believed. Also assume that
the population standard deviation is 0.62∘F. If a sample of 100
people are randomly selected, find the probability of getting a
sample mean of 98.2∘F or higher? (3pts)
(b) The state of New South Wales has an unemployment rate of 5%.
The state conducts monthly surveys in order to track the
unemployment rate. In a recent month, a random sample...

John wishes to study the mean human body temperature. John
organizes a simple random sample which allows him to measure the
human body temperature of 45 people at school. His calculations
show that his sample has a mean human body temperature of 98.40°F
and a standard deviation of 0.62°F. Prior studies indicate that
human body temperatures are normally distributed with a standard
deviation of 0.50°F. Use the p-value method and a 2% significance
level to test the claim that the...

1. A human being (with body temperature 98.6◦) gets into a
jacuzzi at 7 pm with water temperature 105◦. Fifteen minutes later,
the body temperature of this human has risen to 100.2◦. If a
temperature of 102.3 can be fatal, by what time should this person
exit the jacuzzi?
2. A big pot of soup at 210◦is put into the walk in freezer
which is 10◦. After one hour, the soup is only 110◦. What will the
temperature be after...

It has long been stated that the mean temperature of humans is
98.6 degrees F. However, two researchers currently involved in the
subject thought that the mean temperature of humans is less than
98.6 degrees F. They measured the temperatures of 61 healthy adults
1 to 4 times daily for 3 days, obtaining 275 measurements. The
sample data resulted in a sample mean of 98.2 degrees F and a
sample standard deviation of 1.1 degrees F. Use the P-value
approach...

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?

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 6 minutes ago

asked 21 minutes ago

asked 24 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 2 hours ago