Question

- Describe the type of analysis that would be performed in each situation, selecting from the options below. Using complete sentences, explain your reasoning.

Types of analysis: Confidence interval for a population proportion

Confidence interval for a population mean (z-interval)

Confidence interval for a population mean (t-interval)

One-sample z-test for population proportion

One-sample z-test for population mean

One-sample t-test for population mean

- A company claims that “Nine out of 10 customers would recommend us to a friend”. A researcher thinks this number sounds high, so she surveys a random sample of customers from the previous 18 months.

- A gardener has recently moved to Oregon and wants to know what the average weekly rainfall is before deciding whether or not to install an irrigation system. He measures the amount of rainfall each week using a rain gauge.

- There is some debate regarding whether 98.6 °F should be considered the normal body temperature for a healthy adult. A recent research study found the mean body temperature of a sample of healthy adults to be 98.2 °F.

Answer #1

**i)**

**One-sample z-test for the population
proportion**. because recommending a friend is a qualitative
variable. So, we calculate the proportion in this case.

**ii)**

**Confidence interval for a population mean
(z-interval).** when n is large

**Confidence interval for a population mean
(t-interval)** when n is small

Because he wants to know the average rainfall and he is not claiming any mean value. That's why the confidence interval.

**iii)**

**One-sample z-test for population mean.** when n
is large

**One-sample t-test for population mean.** when n
is small

he wants to test for mean and he is claiming a value 98.6 for which he will test the hypothesis.

Researchers performed a study to address the question of whether
the mean body temperature of humans is 98.6 degrees °F.
Among other data, the researchers obtained the body
temperatures of 40 healthy humans, as provided in the accompanying
data table. 97.9, 97.5, 99.0, 98.1, 98.7, 98.8, 97.6, 98.5, 98.5,
98.8, 98.0, 98.2, 97.9, 98.0, 96.8, 97.4, 98.1, 98.0, 98.0, 98.7,
98.6, 98.8, 98.1, 97.0, 97.1, 97.2, 98.3, 97.7, 99.2, 97.8, 97.6,
97.8, 97.3, 98.0, 98.6, 98.5, 98.2, 97.0, 98.4, 98.8....

A data set includes 103 body temperatures of healthy adult
humans for which x overbarequals98.9degreesF and s equals 0.67
degrees Upper F. Complete parts (a) and (b) below.
A. What is the best point estimate of the mean body
temperature of all healthy humans?
B. Using the sample statistics, construct a 99% confidence
interval estimate of the mean body temperature of all healthy
humans. Do the confidence interval limits contain 98.6
degrees°F?
What does the sample suggest about the use...

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...

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...

A data set includes:
104 body temperatures of healthy adult humans having a mean
of
98.798.7 degrees°F
and a standard deviation of
0.660.66 degrees°F.
Construct a 9999% confidence interval estimate of the mean body
temperature of all healthy humans. What does the sample suggest
about the use of
98.6 degrees°F as the mean body temperature?
What is the confidence interval estimate of the population mean
μ?
(Round to three decimal places as needed.)

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...

Question 4:
An article in Wikipedia claims that the mean body
temperature of adults is less than 98.6° F. This goes against
everything you’ve ever been taught, so you gather 565 healthy
adults and observe a mean body temperature of 98.2°F, with the
sample standard deviation of 2.6°F. Test the article’s claim at a
5% level of significance.
If the problem is a confidence interval:
Show whether the criteria for approximate normality are
met. (1 point)
Summarize the sample statistics....

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...

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. 98.0, 98.3, 98.5, 98.5,
97.3, 98.4
(a) Find the value...

A data set includes 109 body temperatures of healthy adult
humans for which x overbarequals98.2degreesF and s equals 0.62
degrees Upper F. Complete parts (a) and (b) below. Click here to
view a t distribution table. Click here to view page 1 of the
standard normal distribution table. . Click here to view page 2 of
the standard normal distribution table. a. What is the best point
estimate of the mean body temperature of all healthy humans? The
best point...

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