Question

**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
degrees F. Use a .05 significance level to test the claim that the
mean body temperature of the population is equal to 98.6 degrees F,
as is commonly believed. **

**3. Page 452 #3. When planning for construction of a
parkway, engineers must consider the weights of cars to be sure
that the road surface is strong enough. A simple random sample of
32 cars yields a mean of 3605.3 lb and a standard deviation of
501.7 lb. Use a .01 significance level to test the claim that the
mean weight of cars is less than 3700lb. **

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:

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)

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...

A
simple random sample of 55 adults’ measurements of their red blood
cell count (in cells per microliter) is obtained. For the sample
the mean is 5.28 and its standard deviation is 0.55. (i) Use a .01
significance level to test the claim that the sample is from a
population with mean less than 5.37. (ii) Use a confidence interval
to test the same claim.

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...

A simple random sample of 50 adults is obtained, and each
person’s height is measured.The sample mean is 68 inches. The
population standard deviation for heights is 2.35. •
Use a 0.01 significance level to test the claim that the sample
is from a population with a mean equal to 73, against the
alternative hypothesis that the mean height is less than 73.
(ASSUME Normal). If Z0.01=−2.32 and Z0.005=−2.57 are numbers s.t.
P(Z < Z0.01) = 0.01 and P(Z <...

A simple random sample of 50 adults is obtained, and each
person’s height is measured.The sample mean is 68 inches. The
population standard deviation for heights is 2.35.
Use a 0.01 significance level to test the claim that the sample
is from a population with a mean equal to 73, against the
alternative hypothesis that the mean height is less than 73.
(ASSUME Normal). (5 points)If z0.01=−2.32 and z0.005=−2.57 are
numbers s.t.P(Z < z0.01) = 0.01 andP(Z < z0.005) =...

A simple random sample of 100 adults is obtained, and each
person’s red blood cell count (in cells per microliter) is
measured. The sample mean is 5.20 and the sample standard deviation
is 0.50. Use a 0.01 significance level to test the claim that the
sample is from a population with a mean less than 5.3, the
calculated value of t-test statistic is (Given that H0:
µ = 5.3, Ha:µ < 5.3)
1) -20.0
2) -2.0
3) 2.0
4) 20.0

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...

Researchers collected a simple random sample of the times that
80 college students required to earn their bachelor’s degrees. The
sample has a mean of 4.8 years and a standard deviation of 1.2
years. Use a 10% significance level to test the claim that the mean
time for all college students is less than 5 years.

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