Question

1)
Use the given degree of confidence and the sample data to construct
a confidence interval for the proportion of population p.

Of 276 randomly selected employees of a company, 10.87% of
them travel by carpooling. Build a 90% confidence interval for the
actual percentage of all company employees who share the
trip.

Select one:

A. 6.04% <p <15.7%

B. 7.79% <p <14.0%

C. 6.50% <p <15.2%

D. 7.20% <p <14.5%

2) True or False: If we are interested in estimating the
population mean based on a sample from a population for which we
know neither the mean nor the standard deviation, the critical
value will be a t value from the t-distribution.

Answer #1

Use the given degree of confidence and sample data to construct
a confidence interval for the population mean µ. 31 packages are
randomly selected from packages received by a parcel service. The
sample has a mean weight of 15.7 pounds and a standard deviation of
1.7 pounds. What is the 95 percent confidence interval for the true
mean weight, µ, of all packages received by the parcel service?
(15.2, 16.2) (14.9, 16.5) (15.0, 16.4) (15.1, 16.3)

Use the given degree of confidence and sample data to construct
a confidence interval for the population mean μ. Assume that the
population has a normal distribution. Thirty randomly selected
students took the calculus final. If the sample mean was 90 and the
standard deviation s = 6.7, construct a 99% confidence interval for
the mean score of all students

Use the given degree of confidence and sample data to construct
a confidence interval for the population mean μ. Assume that the
population has a normal distribution. Thirty randomly selected
students took the calculus final. If the sample mean was 95 and the
standard deviation was 6.6, construct a 99% confidence interval
for the mean score of all students.
A.92.95 <μ <97.05
B.92.03 <μ <97.97
C.91.69 <μ <98.31
D.91.68 <μ <98.32

Use the given degree of confidence and sample data to construct
a confidence interval for the population proportion p.
nequals=130, xequals=69; 90% confidence

Use
the given degree of confidence and sample data to construct a
confidence interval for the population proportion p. 2) n = 125, x
= 72; 90% confidence

Use the given degree of confidence and sample data to find a
confidence interval for the population standard deviation σ. Assume
that the population has a normal distribution. Round the confidence
interval limits to one more decimal place than is used for the
original set of data.
The amounts (in ounces) of juice in eight randomly selected
juice bottles are:
15.9 15.2 15.3 15.2
15.3 15.8 15.1 15.2
Find a 98% confidence interval for the population standard
deviation σ.
Group...

Use the given degree of confidence and sample data to construct
a confidence interval for the population mean μ. Assume that the
population has a normal distribution.
n = 30, = 84.2, s = 18.4, 90% confidence

Use given degree of confidence and sample data to construct a
confidence interval for the population mean. Assume that the
population has a normal distribution. N=30, sample mean =84.6,
s=10.5%, 90% confidence

Use the given degree of confidence and sample data to
construct a confidence interval for the population mean μ. Assume
that the population has a normal distribution.
A sociologist develops a test to measure attitudes towards public
transportation, and 27 randomly selected subjects are given the
test. Their mean score is x ¯ = 76.2 and their standard deviation
is s = 21.4. Construct the 95% confidence interval for the mean
score of all such subjects.

Use the given degree of confidence and sample data to construct
a confidence interval for the population mean. Assume that the
population has a normal distribution n=96 x=87.1 standard
deviation=6.2; 99% confidence

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