-Supply Missing Statements and Missing Reasons for the Following Proof

question 1

Essay

-Supply missing statements and missing reasons for the following proof.
Given: ; V is the midpoint of and W is the midpoint of .
Prove: S1. R1.
S2. and R2. Definition of midpoint
S3. and R3.
S4. R4. Substitution Property of Equality
S5. R5.
S6. R6.

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Definitions:

Standard Deviation

A measure of the amount of variation or dispersion of a set of values, indicating how spread out the values in a data set are.

Normal Distribution

A continuous probability distribution that is symmetrical around the mean, showing that data close to the mean are more frequent in occurrence than data far from the mean.

T Statistic

The t statistic is a value used in statistical analysis to determine the significance of the difference between two sample means, relative to the sample variability.

Preliminary Analysis

An initial examination of data to check for possible errors, understand basic trends and assumptions, and determine the most appropriate statistical tests.