Answer:
(a) The Chicago Cubs broke the Curse of the Billy Goat by winning the World Series in 2016. Find and interpret the z-score for the Chicago Cubs, who had 103 wins in 2016.
Z score = 2.05607
Interpreting the z score, since the z score is positive, this means, the data point is to the right of the mean.
(b) The Chicago White Sox had a z-score of 20.28. Find the number of wins for the Chicago White Sox for 2016.
= 298 wins
Step-by-step explanation:
In 2016, the mean number of wins for teams in Major League Baseball was 81 wins with a standard deviation of 10.7 wins.
(a) The Chicago Cubs broke the Curse of the Billy Goat by winning the World Series in 2016. Find and interpret the z-score for the Chicago Cubs, who had 103 wins in 2016.
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.
x = 103 wins, μ = 81 wins, σ = 10.7
z = 103 - 81/10.7
z = 2.05607
Interpreting the z score, since the z score is positive, this means, the data point is to the right of the mean.
(b) The Chicago White Sox had a z-score of 20.28. Find the number of wins for the Chicago White Sox for 2016.
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.
From the above question, we are asked to find the number of wins, this means we should find the raw score = x
z = 20.28, x = ? μ = 81 , σ = 10.7
Hence,
20.28 = x - 81/10.7
Cross Multiply
20.28 × 10.7 = x - 81
216.996 = x - 81
x = 216.996 + 81
x = 297.996
x is approximately 298 wins
Therefore, the number of wins for the Chicago White Sox for 2016 is approximately 298 wins
.