Question

Body Temperatures: Most people think that the "normal" adult body temperature is 98.6 degrees Fahrenheit. That figure, based on a 19th century study, has recently been challenged. A more recent figure is 98.1 degrees. The standard deviation appears to be around 0.6 degrees and the distribution is approximately Normal. A) Based on this model, below what body temperature are the coolest 15% of all people? degrees (Round your answer to 1 decimal place) B) Based on this model, above what body temperature are the hottest 25% of all people? degrees (Round your answer to 1 decimal place).

Answer #1

The body temperatures of adults are normally distributed with a
mean of 98.6 degrees Fahrenheit and a standard deviation of 1.2
degrees Fahrenheit. If 31 adults are randomly selected, find the
probability that their mean body temperature is greater than 99.3
degrees Fahrenheit.

The body temperatures in degrees Fahrenheit of a sample of
adults in one small town are:
96.6
99.6
97.8
99.2
97.4
98.6
98.8
Assume body temperatures of adults are normally distributed. Based
on this data, find the 95% confidence interval of the mean body
temperature of adults in the town. Enter your answer as an
open-interval (i.e., parentheses)
accurate to 1 decimal place. Assume the data is from a normally
distributed population.
95% C.I. =

The body temperatures in degrees Fahrenheit of a sample of 6
adults in one small town are:
97.9
99.6
98.6
98.5
99.5
97.7
Assume body temperatures of adults are normally distributed. Based
on this data, find the 98% confidence interval of the mean body
temperature of adults in the town. Enter your answer as an
open-interval (i.e., parentheses)
accurate to twp decimal places (because the sample data are
reported accurate to one decimal place).
98% C.I. =
Answer should be...

The body temperatures in degrees Fahrenheit of a sample of 9
adults in one small town are:
97.9
97.6
96.3
98.3
98.7
98
96.7
98.6
97.3
Assume body temperatures of adults are normally distributed. Based
on this data, find the 90% confidence interval of the mean body
temperature of adults in the town. Enter your answer as an
open-interval (i.e., parentheses)
accurate to twp decimal places (because the sample data are
reported accurate to one decimal place).
90% C.I. =...

The body temperatures in degrees Fahrenheit of a sample of
adults in one small town are:
97.8
96.6
98.7
98.6
99.3
98.3
99.4
99.8
96.3
99.9
96.9
Assume body temperatures of adults are normally distributed. Based
on this data, find the 95% confidence interval of the mean body
temperature of adults in the town. Enter your answer as an
open-interval (i.e., parentheses)
accurate to 3 decimal places. Assume the data is from a normally
distributed population.
95% C.I. = ____

The following data show the body temperatures (in degrees
Fahrenheit) from a random sample of 12 independent healthy people
in the United States.
98.5 98.2 99.1 96.6 98.1 98.7 97.5 99.0 97.4 98.3 97.8 98.2
What would be the estimate of the average body temperature of
healthy people in the United States.
Find a 95% confidence interval for the average body temperature
of healthy people in the United States.
Explain carefully the interval you found in part (b) means.

An epidemiologist wishes to check that normal body temperature
are indeed 98.6 degrees. They draw a random sample of 18
individuals and the sample mean is found to be 98.217 degrees with
a standard deviation was .684. What can the epidemiologist conclude
about body temperatures?

The body temperatures of adults are normally distributed with a
mean of 98.6 degrees and a standard deviation of 0.71 degrees. What
temperature represents the 97th percentile? Round to the nearest
hundredth.

A physician would like to test the hypothesis that the mean body
temperature (in degrees Fahrenheit) of adults is not 98.6. For the
test, they will assume the temperatures follow a normal
distribution with a standard deviation of 0.9. The physician
selects a random sample of 10 adults and finds that they have a
mean body temperature of 98.2.
A) calculate the test statistic for testing the physician's
hypothesis.
B) Determine the p- value for the test.

1. Here are the daily average body temperatures (in degrees
Fahrenheit) for 20 healthy adults:
98.74, 98.83, 96.80, 98.12, 97.89, 98.09, 97.87, 97.42, 97.30,
97.84, 100.27, 97.90, 99.64, 97.88, 98.54, 98.33, 97.87, 97.48,
98.92, 98.33
Do these data give evidence that the mean body temperature for
all healthy adults is not equal to the traditional 98.6 degrees?
State the hypotheses, find a P-value, and write a summary of your
results. Show your work.

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