1. Calculate the \(z\) -score for each score within the following sample distribution:

Perceived efficacy rating of problem-solving mediation for a sample of research participants \((n=18)\).

Perceived efficacy rating \(=\{82,74,86,91,70,85,81,77,61,96,68,76,79,83,93,88,84,89\}\)

#2) In reflection of the initial sample of perceived efficacy ratings for problem-solving mediation, calculate the efficacy rating that would have a \(z\) -score at the following levels:

Round your final answer to the nearest whole perceived efficacy rating.

1. \(Z=+1.43\)
2. \(Z=+0.56\)
3. \(Z=-3.79\)
4. \(Z=0.00\)
5. \(Z=-1.98\)

#3) In reflection of the initial sample of perceived efficacy ratings for problem-solving mediation, calculate the area under the curve in accord with the following:

1. Efficacy Rating: Less than 64
2. Efficacy Rating: Between 61 and 96
3. Efficacy Rating: Between 55 and 74
4. Efficacy Rating: Greater than 76
5. Efficacy Rating: Between 94 and 100

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