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In: Statistics and Probability

A researcher is interested in determining whether the illumination level in a room affects how quickly...

A researcher is interested in determining whether the illumination level in a room affects how quickly clients can be put into a trance. The time (in seconds) it took for five clients to go into a trance when it was done in a room that was lit with low light was measured, as was the time it took for the same clients to go into a trance in a brightly lit room. The theory being tested does not predict which light condition will lead to going into a trance more quickly. The data are given below:

SSD=?

est. σ2D=?

est. σD=?

est. σMD=?

Estimate the effect size of the independent variable?

Low Light Bright Light
45 49
15 13
75 82
30 30
57 60

I need to find:

SSD (sum of squares difference), σ2D (Variance difference), σMD, and the effect size of the independent variable

Please help and will like your solution, thank you.

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