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the chances of selecting Lisa and Danny If a simple random sampling method is used to obtain a sample of 2 of the finalists, is 1/15
To draw conclusions about a population utilizing statistics, simple random sampling is utilized. Because being randomized is the greatest way to lessen the impact of any confounding variables, it aids in ensuring good internal validity.
A simple random sample also has a high external validity when the sampling size is large enough since it accurately reflects the traits of the broader population.
There are a total of 15 samples and only one of the samples is where Lisa and Danny will be selected.
L,M L,B L,D L,E L,J M,B M,D
M,E M,J B,D B,E B,J D,E D,J E,J
we only have one chance where Lisa and Danny can be selected out of the total number of the samples. So it will become:
So, the chance is 1/15
Learn more about the simple random sampling method here: https://brainly.com/question/13219833
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Your Question is incomplete, but most probably the complete question was:
The finalists in an essay competition are Lisa (L), Melina (M), Ben (B), Danny (D), Eric (E), and Joan (J). Consider those finalists to be a population of interest. The possible samples (without replacement) of size 2 that can be obtained from this population of 6 finalists are as follows.
L,M - L,B - L,D - L,E - L,J - M,B - M,D
M,E - M,J - B,D - B,E - B,J - D,E - D,J - E,J
If a simple random sampling method is used to obtain a sample of 2 of the finalists, what are the chances of selecting Lisa and Danny?
a) 1/15
b) 1/6
c) 1/3
d) 2/15
