Question
In: Statistics and Probability
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 one
decimal place.)
s =
(c) Compare the results of parts (a) and (b). In general, how does
the standard deviation change if each data value is multiplied by a
constant c?
Multiplying each data value by the same constant c results in the standard deviation being |c| times as large.Multiplying each data value by the same constant c results in the standard deviation increasing by c units. Multiplying each data value by the same constant c results in the standard deviation remaining the same.Multiplying each data value by the same constant c results in the standard deviation being |c| times smaller.
(d) You recorded the weekly distances you bicycled in miles and
computed the standard deviation to be s = 2.9 miles. Your
friend wants to know the standard deviation in kilometers. Do you
need to redo all the calculations?
YesNo
Given 1 mile ≈ 1.6 kilometers, what is the standard deviation in
kilometers? (Enter your answer to two decimal places.)
s = km
Solutions
orchestra answered 1 year 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 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 problem, we explore the effect on the mean, median, and mode of multiplying each...
In this problem, we explore the effect on the mean, median, and
mode of multiplying each data value by the same number. Consider
the following data set.
4, 4, 5, 8, 12
(a) Compute the mode, median, and mean.
mode
median
mean
(b) Multiply each data value by 6. Compute the mode, median, and
mean.
mode
median
mean
(c) Compare the results of parts (a) and (b). In general, how do
you think the mode, median, and mean are affected...
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...
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.
12, 6, 11, 10, 15
(a) Use the defining formula, the computation formula, or a
calculator to compute s. (Enter your answer to one decimal
place.)
(b) Add 3 to each data value to get the new data set 15, 9, 14, 13,
18. Compute s. (Enter your answer to one...
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...
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