If X and Y Are Independent Random Variables Then the Standard

question 51

Multiple Choice

If X and Y are independent random variables then the standard deviation of the random variable X - Y is given by which of the following expressions?

• A)SD(
• X)- SD(
• D)Var(
• X)+ Var(
• E)SD(
• X)+ SD(

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Definitions:

SSE

Sum of Squared Errors, a measure used in statistics to quantify the discrepancy between the data and an estimation model.

SST

In statistics, SST stands for Total Sum of Squares, which is a measure of the total variance in a dataset, representing the sum of squared differences from the mean.

One-Way ANOVA

A statistical test that assesses whether there are any statistically significant differences between the means of three or more independent (unrelated) groups.

F Statistic

A ratio used in the analysis of variance (ANOVA) to determine whether the means of several groups are equal.