2. Consider a dataset {x}=1 with mean and standard deviation s. Assume that two datasets, {y}_₁ and {z;}?_₁, are created, defined by yi = ½ − 4xį and zi = 2xi + x. (a) Find the mean y of the dataset {y;}?_1 in terms of ☎ and så. (b) Find the mean z of the dataset {z;}_1 in terms of ☎ and sø. (c) Find the standard deviation s₁, of the dataset {y;}?, in terms of and st. 1

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 93E
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Hello, could I please get a solution for A through D

=
=1
2. Consider a dataset {x;}_₁ with mean and standard deviation s. Assume that two new
datasets, {y}_1 and {z}_₁, are created, defined by Yi - 4x, and z₁ = : 2x₁ + x.
(a) Find the mean y of the dataset {y}_1 in terms of ☎ and sx.
(b) Find the mean z of the dataset {z;}_₁ in terms of ã and så.
(c) Find the standard deviation sy of the dataset {y}_1 in terms of ☎ and sø.
(d) Find the standard deviation sz of the dataset {z}_₁ in terms of and sx.
Transcribed Image Text:= =1 2. Consider a dataset {x;}_₁ with mean and standard deviation s. Assume that two new datasets, {y}_1 and {z}_₁, are created, defined by Yi - 4x, and z₁ = : 2x₁ + x. (a) Find the mean y of the dataset {y}_1 in terms of ☎ and sx. (b) Find the mean z of the dataset {z;}_₁ in terms of ã and så. (c) Find the standard deviation sy of the dataset {y}_1 in terms of ☎ and sø. (d) Find the standard deviation sz of the dataset {z}_₁ in terms of and sx.
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Note: Hi, there! "Since you have posted a question with multiple-subparts, we are answering first three subparts for you as per our q&a guidelines. Kindly repost the question and specify part(d) to solve"


Given that the data set xii=1n with mean x¯ and standard deviation sx.

The data set yii=1n is defined as yi=13-4xi.

The data set zii=1n is defined as zi=2xi+x¯

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