Answer:
a)The average salary, then, for accountants in Canada is $2352
b) The standard deviation of the salary, then, for accountants in Portugal is $388.2
Explanation:
The formula for calculating a z-score is is z = (x-μ)/σ,
where:
x is the raw score
μ is the population mean
σ is the population standard deviation.
a) Suppose you are told that an accountant in Canada who makes $2,646.00 has a z-score of +0.50 relative to other accountants in Canada and that the standard deviation of the salary of accountants in Canada is $588.00. The average salary, then, for accountants in Canada is _____.
z = (x-μ)/σ
z = 0.50, x =$2,646.00 μ = ?? σ = $588
Hence,
0.50 = 2,646 - μ/588
0.50 × 588 = 2,646 - μ
294 = 2,646 - μ
μ = 2,646 - 294
μ = $2352
Therefore, the average salary, then, for accountants in Canada is $2352
b) Suppose you are also told that an accountant in Portugal who makes $2, 329.40 has a z-score of +2.00 relative to other accountants in Portugal and that the mean of the salary of accountants in Portugal is $1, 553. The standard deviation of the salary, then, for accountants in Portugal is _____ .
z = (x-μ)/σ
z = 2, x = $2,329.40 μ =$1,553 σ = ?
2 = ($2,329.40 - $1,553)/σ
2σ = $2,329.40 - $1,553
σ = $2,329.40 - $1,553/2
σ = $776.4 /2
σ = $388.2
Therefore, the standard deviation of the salary, then, for accountants in Portugal is $388.2