Match the correct definition of each term.
If a given confidence interval limits are (0.444, 0.484), then the point estimate p-hat is and the margin of error E is . (up to three decimal place, please)
One survey showed that among 785 randomly selected subjects who completed four years of college, 18.3% smoke and a 98% confidence interval for the true percentage of smokers among all people who completed four years of college is 15.1% to 21.6%. Based on the result, the smoking rate for those with four years of college appears to be substantially different than the 27% rate for the general population.
True
False
QUESTION 4
When one finds a confidence interval estimate of the population mean, it is fine to use the margin of error E= if the sample size is n=100 and the population SD, sigma is unknown.
True
False
QUESTION 5
When one finds a confidence interval estimate of the population mean, it is fine to use the margin of error E= if the sample size is n=5, the population SD, sigma is unknown, and the original population is normally distributed.
True
False
QUESTION 6
If a population appears to be very skewed with a population SD, sigma=4.2 and sample size of n=9, either the normal nor the t-distribution applies for 90% confidence interval.
True
False
QUESTION 7
Use the given data to find the minimum sample size required to estimate a population proportion or percentage:
Margin of error: 0.060
Confidence level: 99%
: unknown
QUESTION 8
Use the given data to find the minimum sample size required to estimate a population proportion or percentage:
Margin of error: 5% points
Confidence level: 95%
QUESTION 9
Use the given data to find the minimum sample size required to estimate an unknown population mean:
Margin of error: 200
Confidence level: 95%
sigma:530
QUESTION 10
Assume that we want to estimate the mean IQ score for a population. How many subjects must be randomly selected for IQ tests if we want 95% confidence that the sample mean is within 1 IQ points of the population mean? It is known that the range of the data is 58. (note: when you state the answer, increase the value of the sample size to the next larger whole number if the result does not give in a whole number.)
QUESTION 11
A drug is used to treat a disease. In a clinical test, 3.2% of 221 drug users experienced dizziness. Determine the lower limit of a 99% confidence interval estimate of the percentage of all drug users who experience dizziness. Note that unit is %. (up to two decimal place, please)
QUESTION 12
For the sample of body temperatures, we have n=95 and sample mean x-bar=98.20 F. Assume that the sample is a simple random sample and that the population standard deviation sigma is known to be 0.62 F. Using a .95 confidence level, find the margin of error E. (up to four decimal place, please)
QUESTION 13
For the sample of body temperatures, we have n=86 and sample mean x-bar=97.88 F. Assume that the sample is a simple random sample and that the population standard deviation sigma is known to be 0.62 F. Using a .95 confidence level, find the lower limit of confidence interval. (up to four decimal place, please)
QUESTION 14
For the sample of body temperatures, we have n=89 and sample mean x-bar=95.96 F. Assume that the sample is a simple random sample and that the population standard deviation sigma is known to be 0.14 F. Using a 90% confidence level, find the upper limit of confidence interval. (up to four decimal place, please)
QUESTION 15
For the sample of body temperatures, we have n=25 and sample mean x-bar=98.20 F. Assume that the sample is a simple random sample and that the population standard deviation sigma is unknown. From the data, sample standard deviation is 0.82 F. Using a .95 confidence level, find the lower limit of confidence inteval. (up to four decimal place, please)
QUESTION 16
Report the critical value to determine a 95% confidence interval for a population mean when n=15, x-bar (sample mean)=496 and sample SD (s)=108. Assume that the population has a normal distribution (up to three decimal place, please)
QUESTION 17
Report the critical value to determine a 99% confidence interval for a population mean when n=20, x-bar (sample mean)=4.4 and sample SD (s)=4.2. Assume that the population has a normal distribution (up to three decimal place, please)
s
QUESTION 18
Report the critical value to determine a 99% confidence interval for a population mean when n=20, x-bar (sample mean)=4.4 and sample SD (s)=4.2. Assume that the population has a normal distribution (up to three decimal place, please)
QUESTION 19
Find the critical values for lower and upper confidence limit for a 95% confidence interval of population variance when sample size is 16.
lower critical value =
upper critical value =
QUESTION 20
Report the lower limit of a 90% confidence interval of population standard deviation of times between uses of a TV remote control by males during commercials when n=30, x-bar=5.24 sec, and s=2.50 sec. (up to three decimal place, please)
STAT WEEK FIVE.
QUESTION 1
Match the correct definition of each term.
point
estimation
confidence
interval
confidence
level
critical value
A.
a single value used to
approximate
a population
parameter
B.
the number on the borderline separating sample
statistics that are likely to occur from those that are
unlikely to occur
C.
a range of v
alues
used to estimate the true value of a
population parameter
D.
the probability that is the proportion of times that the
confidence interval actually does contain the
population parameter, assuming that the estimation
process is repeated a large number of times
QUESTION 2
If a given
confidence interval limits are (0.444, 0.484), then the point estimate p
-
hat is
and the
margin of error E is
. (up to three decimal place, please)
QUESTION 3
One
survey
showed
that
among
785
randomly
selected
subjects
who
completed
four
years
of
college,
18.3%
smoke
and
a
98%
confidence
interval
for
the
true
percentage
of
smokers
among
all
people
who
completed
four
years
of
college
is
15.1%
to
21.6%.
Based
on
t
he
result,
the
smoking
rate
for
those
with
four
years
of
college
appears
to
be
substantially
different
than
the
27%
rate
for
the
general
population.
True
False
QUESTION 4
When one finds a confidence interval estimate of the population mean,
it is fine to use the margin of error E=
if t
he sample size is n=100 and the population SD, sigma is unknown.
True
False
QUESTION 5
When
one
finds
a
confidence
interval
estimate
of
the
population
mean,
it
is
fine
to
use
the
margin
of
error
E=
if
the
sample
size
is
n=5,
the
population
SD,
sigma
is
unknown,
and
the
original
population
is
normally
distributed.
True
False
STAT WEEK FIVE.
QUESTION 1
Match the correct definition of each term.
point
estimation
confidence
interval
confidence
level
critical value
A.
a single value used to approximate a population
parameter
B.
the number on the borderline separating sample
statistics that are likely to occur from those that are
unlikely to occur
C.
a range of values used to estimate the true value of a
population parameter
D.
the probability that is the proportion of times that the
confidence interval actually does contain the
population parameter, assuming that the estimation
process is repeated a large number of times
QUESTION 2
If a given confidence interval limits are (0.444, 0.484), then the point estimate p-hat is
and the
margin of error E is
. (up to three decimal place, please)
QUESTION 3
One survey showed that among 785 randomly selected subjects who completed four years of college, 18.3% smoke
and a 98% confidence interval for the true percentage of smokers among all people who completed four years of
college is 15.1% to 21.6%. Based on the result, the smoking rate for those with four years of college appears to be
substantially different than the 27% rate for the general population.
True
False
QUESTION 4
When one finds a confidence interval estimate of the population mean, it is fine to use the margin of error E=
if the sample size is n=100 and the population SD, sigma is unknown.
True
False
QUESTION 5
When one finds a confidence interval estimate of the population mean, it is fine to use the margin of error E=
if the sample size is n=5, the population SD, sigma is unknown, and the original population is normally
distributed.
True
False
Jambo
stat_week_five.docx
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