i
collect a random sample of size n from a population anf from the
data collected...
i
collect a random sample of size n from a population anf from the
data collected compute a 95% confidence interval for the mean oc
the population. Which of the following would produce a new
confidence interval with smaller width (narrower interval) based on
these same data?
A) Use a larger condice level
B) Use a smaller confidence level
C) Use the same confidence level, but compute the interval n
times. Approximately 5% of these intervals will be larger
D) Nothing can guarantee absolutely thatvyou will get a
smaller interval. one can only say the chance of obtaining a
smaller interval in 0.05
Solutions
Expert Solution
Option - B) Use a smaller confidence level.
Because as the confidence level decreases, the margin of error
also decreases and the confidence interval becomes narrower.
I collect a random sample of size n from a population and from
the data collected, I compute a 95% confidence interval for the
mean of the population. Which of the following would produce a new
confidence interval with larger width (larger margin of error)
based on these same data? Circle your answer(s)
Use a smaller confidence level.
Use a larger confidence level.
Use the same confidence level but compute the interval n
times.
Suppose you know the length of...
A random sample of size n = 100 is taken from a population of
size N = 600 with a population proportion of p =0.46. Is it
necessary to apply the finite population correction factor?
Calculate the expected value and standard error of the sample
proportion. What is the probability that the sample mean is less
than .40?
A random sample of size n = 69 is taken from a
population of size N = 971 with a population proportion
p = 0.68.
a-1. Is it necessary to apply the finite
population correction factor?
Yes or no?
a-2. Calculate the expected value and the
standard error of the sample proportion. (Round "expected
value" to 2 decimal places and "standard error" to 4 decimal
places.)
Expected Value-
Standard Error-
b. What is the probability that the sample
proportion is...
A random sample of size n = 71 is taken from a population of
size N = 639 with a population proportion p = 0.73.
a-1. Is it necessary to apply the finite
population correction factor?
a-2. Calculate the expected value and the
standard error of the sample proportion. (Round "expected
value" to 2 decimal places and "standard error" to 4 decimal
places.)
b. What is the probability that the sample
proportion is less than 0.66? (Round “z” value to...
A random sample of size n = 152 is taken from a
population of size N = 3,300 with mean μ = −71
and variance σ2 = 112. [You may find it
useful to reference the z table.]
a-1. Is it necessary to apply the finite
population correction factor?
Yes
No
a-2. Calculate the expected value and the standard
error of the sample mean. (Negative values should be
indicated by a minus sign. Round "standard error" to 2
decimal places.)...
A random sample of size n = 472 is taken from a population of
size N = 9,700 with mean μ = −63 and variance σ2 = 176. [You may
find it useful to reference the z table.]
A-1
Is it necessary to apply the finite population correction
factor?
Yes
No
a-2. Calculate the expected value and the
standard error of the sample mean. (Negative values should
be indicated by a minus sign. Round "standard error" to 2
decimal places.)...
A random sample of size n = 225 is taken from a
population with a population proportion P = 0.55.
[You may find it useful to reference the z
table.]
a. Calculate the expected value and the
standard error for the sampling distribution of the sample
proportion. (Round "expected value" to 2 decimal places and
"standard error" to 4 decimal places.)
b. What is the probability that the sample
proportion is between 0.50 and 0.60? (Round “z”
value to 2...
A random sample of size n = 130 is taken from a
population with a population proportion p = 0.58.
(You may find it useful to reference the z
table.)
a. Calculate the expected value and the
standard error for the sampling distribution of the sample
proportion. (Round "expected value" to 2 decimal places and
"standard error" to 4 decimal places.)
b. What is the probability that the sample
proportion is between 0.50 and 0.70? (Round “z”
value to 2...
Simple random sampling uses a sample of size n from a population
of size N to obtain data that can be used to make inferences about
the characteristics of a population. Suppose that, from a
population of 52 bank accounts, we want to take a random sample of
four accounts in order to learn about the population. How many
different random samples of four accounts are possible?
A random sample of size n
is taken from a normally distributed population with a population
standard deviation (σ ) of 11.6. The sample mean (x) is 44.6.
Construct a 99% confidence interval about µ with a sample size of
26.