**Exploring the Effect on Standard Deviation**In this problem, we will explore the effect on the standard deviation of multiplying each data value in a data set by the same constant. Consider the data set 5, 13, 6, 12, 14.**(a)** Use the defining formula, the computation formula, or a calculator to compute \( s \). (Round your answer to one decimal place.)\[ s = 7.6 \]**(b)** Multiply each data value by 8 to obtain the new data set 40, 104, 48, 96, 112. 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 \( c \)?- \( \bigcirc \) Multiplying each data value by the same constant \( c \) results in the standard deviation being \(|c|\) times smaller.- \( \bigcirc \) Multiplying each data value by the same constant \( c \) results in the standard deviation increasing by \( c \) units.- \( \bigcirc \) Multiplying each data value by the same constant \( c \) results in the standard deviation remaining the same.- \( \bigcirc \) Multiplying each data value by the same constant \( c \) results in the standard deviation being \(|c|\) times as large.**(d)** You recorded the weekly distances you bicycled in miles and computed the standard deviation to be \( s = 3.3 \) miles. Your friend wants to know the standard deviation in kilometers. Do you need to redo all the calculations?- \( \bigcirc \) Yes- \( \bigcirc \) NoGiven \( 1 \text{ mile} \approx 1.6 \text{ kilometers} \), what is the standard deviation in kilometers? (Enter your answer to two decimal places.)\[ s = \text{_____} \text{ km} \]**Need Help?**- Read It- Watch It

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Description: **Exploring the Effect on Standard Deviation**In this problem, we will explore the effect on the standard deviation of multiplying each data value in a data set by the same constant. Consider the data set 5, 13, 6, 12, 14.**(a)** Use the defining fo

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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 5, 13, 6, 12, 14. (a) Use the defining formula, the computation formula, or a calculator to compute s. (Round your answer to one decimal place.) S = 7.6 (b) Multiply each data value by 8 to obtain the new data set 40, 104, 48, 96, 112. 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 smaller. 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. OMultiplying each data value by the same constant c results in the standard deviation being |c| times as large.

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 5, 13, 6, 12, 14. (a) Use the defining formula, the computation formula, or a calculator to compute s. (Round your answer to one decimal place.) S = 7.6 (b) Multiply each data value by 8 to obtain the new data set 40, 104, 48, 96, 112. 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 smaller. 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. OMultiplying each data value by the same constant c results in the standard deviation being |c| times as large.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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