Question

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 mean human body temperature of the population is equal to 98.6°F as is commonly believed. What is the test statistic (rounded to the nearest hundredth)?

T-distribution or z-distribution

Answer #1

6. A sample of 200 body temperatures of adults has a mean
temperature of 98.10◦F. Suppose the population standard deviation
is 0.62◦F. Use a 0.05 significance level to test the claim that the
mean body temperature of all adults is equal to 98.6◦F as is
commonly believed. Fill in the following information as you test
the above claim: State the claim symbolically and the opposite of
the claim.
H0 :
H1 :
Teststatistic:
P-value:
Conclusion:

A random sample of 130 human body temperatures, provided in the
Journal of Statistical Education, has a mean of 98.25◦ F and a
standard deviation of 0.73◦ F. A researcher named Violet believes
that the commonly reported mean body temperature of 98.6◦ F is
incorrect. In this problem, you will conduct a hypothesis t-test to
test Violet’s claim and determine if the given data indicates that
the average human body temperature is diﬀerent from 98.6◦ F.
(a) Verify that the...

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...

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)

A sample of 100 body temperatures has a mean of 98.6
oF. Assume that population standard deviation σ is known
to be 0.5 oF. Use a 0.05 significance level to test the
claim that the mean body temperature of the population is equal to
98.5 oF, as is commonly believed. What is the value of
test statistic for this testing?
2.0
–2.0
1.0
3.0

1. Page 452 #1. A simple random sample of 1088 adults
between the ages of 18 and 44 is conducted. It is found that 261 of
the 1088 adults smoke. Use a .05 significance level to test the
claim that less than ¼ of such adults smoke.
2. Page 430 #10. A simple random sample of 106 body
temperatures has a mean of 98.2 degrees F. Assume from previous
studies that the standard deviation of all body temperatures is .62...

What is normal, when it comes to people's body
temperatures? A random sample of 130 human body temperatures had a
mean of 98.05° and a standard deviation of 0.77°. Does the data
indicate that the average body temperature for healthy humans
deviates from 98.6°, the usual average temperature cited by
physicians and others?
Test using α = 0.05.
State your conclusion.
a.
The test statistic does not lie in the rejection region so
H0 is not rejected. There is insufficient
evidence...

A researcher wishes to test the mean body temperature against
the accepted value of 98.6. If a sample of 26 subjects had an
average temperature of 98.4 with a standard deviation of 0.6, what
conclusion should be reached? Use a significant level of 0.10

A simple random sample from a population with a normal
distribution of 9999 body temperatures has x bar =98.40 F
degrees
and s =0.68 F° . Construct an 80% confidence
interval estimate of the standard deviation of body temperature of
all healthy humans.
( Can you tell me exactly how can find XL2
XR2. )

What is normal when it comes to people’s body temperatures? A
random sample of 130 human body temperatures, had a mean of 98.25
and a standard deviation of 0.73. Does the data indicate that the
average body temperature for healthy humans is different from 98.6,
the usual average temperature cited by physicians and others?
A) Write the null and alternative hypothesis.
B) What is your conclusion? Support your answer with the
appropriate statistics.

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