A sample of n = 4 scores is obtained from a population with μ = 70 and σ = 8.If the sample mean corresponds to a z-score of 2.00,then what is the value of the sample mean?
A)M = 86
B)M = 78
C)M = 74
D)M = 72

Question

A sample of n = 4 scores is obtained from a population with μ = 70 and σ = 8.If the sample mean corresponds to a z-score of 2.00,then what is the value of the sample mean?​
A)​M = 86
B)​M = 78
C)​M = 74
D)​M = 72

Quizplus · Accepted Answer

The formula to calculate the sample mean from a z-score is M = μ + z(σ/√n). Given μ = 70, σ = 8, n = 4, and z = 2.00, we substitute these values into the formula: M = 70 + 2(8/√4) = 70 + 2(4) = 70 + 8 = 78.

A Sample of N = 4 Scores Is Obtained from a Population