Question

Question 1.

Which of the following is the CORRECT interpretation of a 95% confidence interval?

a) There is a 95% probability that the interval contains the population value

b) There is a 95% chance that the true population value is inside the interval

c) if we sampled from a population repeatedly and created confidence intervals, 95% of those confidence intervals would contain the population mean

d) We are 95% sure of the sample statistic

Question 2.

What is the mean of the sampling distribution?

a) the mean of all the possible sample means

b) the mean of all of the observations in the population

c) the mean of all of the observations in the sample

d) 1

Question 3.

Which of the following is **NOT** a correct
interpretation of the standard error of a mean?

a) the square root of the variance of x_bar

b) the spread of observations in a sample

c) The standard deviation of the sampling distribution

d) The difference between our sample mean and the mean of the sampling distribution

Answer #1

1 - Which of the following statements is true regarding a 95%
confidence interval? Assume numerous large samples are taken from
the population.
a. In 95% of all samples, the sample proportion will fall within 2
standard deviations of the mean, which is the true proportion for
the population.
b. In 95% of all samples, the true proportion will fall within 2
standard deviations of the sample proportion.
c. If we add and subtract 2 standard deviations to/from the sample...

Please criticize the following statement regarding the
interpretation of a confidence interval:
Results for a 95% Confidence Interval for estimating the
population mean: 74.1< Mean< 83.1
" After looking at the above results we can conclude that there
is a 95% chance that the confidence interval contains the true mean
of the population"
Is the above statement correct? Why? If it is not correct how
can we re-state the conclusion in order to interpret correctly the
above confidence interval?

11. The correct interpretation of 95% confidence is (Circle
one):
a) We can be 95% confident that the interval includes the sample
mean.
b) 95% of all possible population means will be included in the
interval.
c) 95% of the possible sample means will be included in this
interval.
d) The method used to get the interval, when used over and over,
produces intervals which include the true population mean 95% of
the time.
12. Suppose a two-sided (or two-tailed)...

1.The weight of potato chip bags marketed as 16-ounce bags
follows a distribution that has a mean of 17.0 ounces and a
standard deviation of 1.0 ounces. Suppose a sample of 100 of these
bags of potato chips has been randomly sampled.
The mean weight of the 100 bags would be considered a
____________________ and the mean weight of all bags would be
considered a __________________.
statistic; statistic
parameter; parameter
parameter; statistic
statistic; parameter
2. Suppose we repeatedly sampled from...

A 99% confidence interval estimate of the population mean ? can
be interpreted to mean:
a) if all possible sample are taken and confidence intervals
created, 99% of them would include the true population mean
somewhere within their interval.
b) we have 99% confidence that we have selected a sample whose
interval does include the population mean.
c) we estimate that the population mean falls between the lower
and upper confidence limits, and this type of estimator is correct
99%...

Use the standard normal distribution or the t-distribution to
construct a
95%
confidence interval for the population mean. Justify your
decision. If neither distribution can be used, explain why.
Interpret the results. In a random sample of
fortyone
people, the mean body mass index (BMI) was
27.7
and the standard deviation was
6.24
Which distribution should be used to construct the confidence
interval? Choose the correct answer below.
(Use a t-distribution because the sample is random n>=30, and
o is...

According to a union agreement, the mean income for all
senior-level assembly-line workers in a large company equals $490
per week. A representative of a women's group decides to analyze
whether the mean income for female employees matches this norm. For
a random sample of nine female employees, using software, she
obtains a 95% confidence interval of (464 ,498 ).
Explain what is wrong with each of the following interpretations
of this interval. Complete parts a through d
below.a. We...

Construct a 95% confidence interval for the population
mean,Assume the population has a normal distribution, A random
sample of 16 fluorescent light bulbs has a mean life of 645 hours
with a standard devastion of 31 hours.
From the above question calculate the 99% confidence interval
for n = 16.
then, Letting n= 100, calculate the 95% and 99% confidence
intervals
(a) What happend to the interval width from 95% to 99%
(b) what happend to the interval width from...

We use the t distribution to construct a confidence
interval for the population mean when the underlying population
standard deviation is not known. Under the assumption that the
population is normally distributed, find
t??2,df for the following scenarios. Use Table
2. (Round your answers to 3 decimal places.)
t?/2,df
a. A 95% confidence
level and a sample of 8 observations.
b. A 90% confidence
level and a sample of 8 observations.
c. A 95% confidence
level and a...

When constructing a confidence interval estimate for a
population mean (when the standard deviation of the population is
known), what is the calculation that has to be made to obtain the
error margin? A. You multiply the number of standard deviations by
the standard deviation of the sampling distribution of sample
means. B. You subtract the sample mean from the population mean and
then divide by the standard deviation of the population. C. You
divide the standard deviation of the...

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