Question

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 affect temperature, from random litters X = the number of dogs who may have body temperatures that exceed 98.6°F.

(ii)List the possible values of X

(iii)State the distribution of X, and the value/s of the parameter/s. Verify that the assumptions of the distribution chosen have been met.

(iv)What is the probability that at least two dogs have body temperatures that are higher than 98.6°F?

(v) What is the probability that none of the dogs have body temperatures that are higher than 98.6°F?

Answer #1

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?

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)

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...

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...

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...

In a 1868 paper, German physician Carl Wunderlich reported
based on over a million body temperature readings that the mean
body temperature for healthy adults is 98.6° F. However, it is now
commonly believed that the mean body temperature of a healthy adult
is less than what was reported in that paper. To test this
hypothesis a researcher measures the following body temperatures
from a random sample of healthy adults.
98.2, 98.5, 98.6, 98.5, 97.4, 98.3
(a)
Find the value...

The mean body temperature of pugs is supposed to be 102.4 F. A
Vet wants to prove that the temperature is actually higher. If A
sample of 64 pugs had an average temp of 103 F, with a standard
deviation of .2 F, could the vet prove their claim. Use a level of
significance of 0.05. What is the null hypothosis, alternative and
answer?

A data set includes
103
body temperatures of healthy adult humans having a mean of
98.3°F
and a standard deviation of
0.73°F.
Construct a
99%
confidence interval estimate of the mean body temperature of all
healthy humans. What does the sample suggest about the use of
98.6°F
as the mean body temperature?Click here to view a t
distribution table.
LOADING...
Click here to view page 1 of the standard normal distribution
table.
LOADING...
Click here to view page 2 of...

It is commonly believed that the mean body temperature of a
healthy adult is 98.6∘F. You are not entirely convinced. You
believe that it is not 98.6∘F. You collected data using 54 healthy
people and found that they had a mean body temperature of 98.26∘F
with a standard deviation of 1.16∘F. Use a 0.05 significance level
to test the claim that the mean body temperature of a healthy adult
is not 98.6∘F.
a) Identify the null and alternative
hypotheses?
H0:...

It is commonly believed that the mean body temperature of a
healthy adult is 98.6∘F98.6∘F. You are not entirely convinced. You
believe that it is not 98.6∘F98.6∘F. You collected data using 54
healthy people and found that they had a mean body temperature of
98.22∘F98.22∘F with a standard deviation of 1.17∘F1.17∘F. Use a
0.05 significance level to test the claim that the mean body
temperature of a healthy adult is not 98.6∘F98.6∘F.
a) Identify the null and alternative
hypotheses?
H0H0: (p...

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