Answer:
Their respective z-scores are:
Thomas : -2.15279
Karla : -1.40221
Which player had the better year relative to their peers, Terry or Karla ?
Terry had a better year because he had a lower Era and he was a better pitcher.
Step-by-step 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.
any male pitcher at his school,
For Thomas:
z = (x-μ)/σ
x = 2.85 μ = 4.893 σ = 0.949.
z = 2.85 - 4.893/0.949
z = -2.15279
For Karla
z = (x-μ)/σ
x = 2.95 μ = 4.348 σ = 0.997.
z = (2.95 - 4.348) /0
z = -1.40221
Their respective z-scores are:
Thomas : -2.15279
Karla : -1.40221
Which player had the better year relative to their peers, Terry or Karla ? (Note: In general, the lower the ERA, the better the pitcher.)
Terry had a better year because he had a lower Era and he was a better pitcher.
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