If Two Random Samples of Sizes 30 and 45 Are $\bar { X } _ { 1 } - \bar { X } _ { 2 }$

question 5

True/False

If two random samples of sizes 30 and 45 are selected independently from two non-normal populations with means of 53 and 57, then the mean of the sampling distribution of the sample mean difference, $\bar { X } _ { 1 } - \bar { X } _ { 2 }$ , equals -4.

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Definitions:

Edwards Syndrome

A genetic disorder caused by the presence of all or part of an extra 18th chromosome, characterized by developmental delays, intellectual disability, and various physical abnormalities.

Down Syndrome

A genetic disorder caused by the presence of all or part of a third copy of chromosome 21, characterized by developmental delays and distinctive physical features.

Nondisjunction

An error in cell division that results in daughter cells with an incorrect number of chromosomes, leading to genetic disorders such as Down syndrome.

Chromosome 21

One of the 23 pairs of chromosomes in humans, with Down syndrome resulting from an extra copy of this chromosome.