Question
In: Statistics and Probability
1. In this exercise, we examine the effect of the value of the estimated standard deviation...
1. In this exercise, we examine the effect of the value of the
estimated standard deviation on determining the sample size
needed.
Find the sample size needed to give, with 90% confidence, a margin
of error within ±4, if the estimated standard deviation is σ˜=60.
If the estimated standard deviation is σ˜=20. If the estimated
standard deviation is σ˜=10.
| σ˜=60 : | n=? |
| σ˜=20 : | n= ? |
| σ˜=10 : |
n=? |
2. In this exercise, we examine the effect of the confidence
level on determining the sample size needed.
Find the sample size needed to give a margin of error within ±2
with 99% confidence. With 95% confidence. With 90% confidence.
Assume that we use σ˜=30 as our estimate of the standard deviation
in each case.
| 99% : | n= ? |
| 95% : | n= ? |
| 90% : | n= ? |
Solutions
orchestra answered 2 years agoRelated Solutions
In this problem, we explore the effect on the standard deviation of multiplying each data value...
In this problem, we explore the effect on the standard deviation
of multiplying each data value in a data set by the same constant.
Consider the data set 8, 7, 16, 8, 16.
(a) Use the defining formula, the computation formula, or a
calculator to compute s. (Round your answer to one decimal
place.)
s =
(b) Multiply each data value by 2 to obtain the new data set 16,
14, 32, 16, 32. Compute s. (Round your answer to...
In this problem, we explore the effect on the standard deviation of multiplying each data value...
In this problem, we explore the effect on the standard deviation
of multiplying each data value in a data set by the same constant.
Consider the data set 4, 11, 11, 11, 7.
(a) Use the defining formula, the computation formula, or a
calculator to compute s. (Round your answer to one decimal
place.)
s =
(b) Multiply each data value by 2 to obtain the new data set 8, 22,
22, 22, 14. Compute s. (Round your answer to...
In this problem, we explore the effect on the standard deviation of multiplying each data value...
In this problem, we explore the effect on the standard deviation
of multiplying each data value in a data set by the same constant.
Consider the data set 14, 16, 13, 7, 8.
(a) Use the defining formula, the computation formula, or a
calculator to compute s. (Round your answer to one decimal
place.)
s =
(b) Multiply each data value by 7 to obtain the new data set 98,
112, 91, 49, 56. Compute s. (Round your answer to...
In this problem, we explore the effect on the standard deviation of multiplying each data value...
In this problem, we explore the effect on the standard deviation
of multiplying each data value in a data set by the same constant.
Consider the data set 11, 9, 4, 6, 6. (a) Use the defining formula,
the computation formula, or a calculator to compute s. (Round your
answer to one decimal place.) s = (b) Multiply each data value by 7
to obtain the new data set 77, 63, 28, 42, 42. Compute s. (Round
your answer to...
In this exercise, we examine the effect of the margin of error on determining the sample...
In this exercise, we examine the effect of the margin of error
on determining the sample size needed.
Find the sample size needed to give, with 99% confidence, a margin
of error within ±7. Within ±3. Within ±1. Assume that we use σ˜=20
as our estimate of the standard deviation in each case. Round your
answers up to the nearest integer.
ME=7 :
n= ?
ME=3 :
n= ?
ME=1 :
n= ?
CHAPTER 2-4 Exercise 2.24 In this exercise, we examine the effect of combining investments with positively...
CHAPTER 2-4
Exercise 2.24
In this exercise, we examine the effect of combining investments
with positively correlated risks, negatively correlated risks, and
uncorrelated risks. A firm is considering a portfolio of assets.
The portfolio is comprised of two assets, which we will call ''A"
and "B." Let X denote the annual rate of return from asset
A in the following year, and let Y denote the annual rate
of return from asset B in the following year. Suppose that
E(X)...
In this problem, we explore the effect on the standard deviation of adding the same constant...
In this problem, we explore the effect on the standard
deviation of adding the same constant to each data value in a data
set. Consider the following data set.
16, 16, 13, 12, 6
(a) Use the defining formula, the computation formula, or a
calculator to compute s. (Enter your answer to one decimal
place.)
(b) Add 4 to each data value to get the new data set 20, 20,
17, 16, 10. Compute s. (Enter your answer to...
In this problem, we explore the effect on the standard deviation of adding the same constant...
In this problem, we explore the effect on the standard deviation
of adding the same constant to each data value in a data set.
Consider the following data set.
16, 12, 9, 4, 7
(a) Use the defining formula, the computation formula, or a
calculator to compute s. (Enter your answer to one decimal
place.)
(b) Add 8 to each data value to get the new data set 24, 20, 17,
12, 15. Compute s. (Enter your answer to one...
In this problem, we explore the effect on the standard deviation of adding the same constant...
In this problem, we explore the effect on the standard deviation
of adding the same constant to each data value in a data set.
Consider the following data set.
10, 16, 15, 4, 6
(a) Compute s. (Enter your answer to one decimal place.)
(b) Add 4 to each data value to get the new data set 14, 20, 19,
8, 10. Compute s. (Enter your answer to one decimal place.)
(c) Compare the results of parts (a) and (b)....
In this problem, we explore the effect on the standard deviation of adding the same constant...
In this problem, we explore the effect on the standard deviation
of adding the same constant to each data value in a data set.
Consider the following data set. 7, 13, 6, 11, 11 (a) Use the
defining formula, the computation formula, or a calculator to
compute s. (Enter your answer to one decimal place.) (b) Add 2 to
each data value to get the new data set 9, 15, 8, 13, 13. Compute
s. (Enter your answer to one...
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