In a survey conducted with 600 participants across the United States, 450 were found to have studied science in college. If we w
1 answer:
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<em>Honestly, for me, it just provides bragging rights. Also, I guess it makes you feel better about getting your rank higher. </em>(～￣▽￣)～
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正直なところ、私にとって、それは自慢する権利を提供するだけです。また、ランクを上げることで気分が良くなると思います。(～￣▽￣)～
Answer:
Ron's ERA has a z-score of -2.03.
Karla's ERA has a z-score of -1.86.
Due to the lower z-score, Ron had a better yean than Karla relative to their peers.
Step-by-step explanation:
Z-score:
In a set with mean and standard deviation
, the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this question:
Since the lower the ERA, the better the pitcher, whoever's ERA has the lower z-score had the better year relative to their peers.
Ron
ERA of 3.06, so
For the males, the mean ERA was 5.086 and the standard deviation was 0.998. This means that
So
Ron's ERA has a z-score of -2.03.
Karla
ERA of 3.28, so
For the females, the mean ERA was 4.316 and the standard deviation was 0.558. This means that
So
Karla's ERA has a z-score of -1.86.
Which player had the better year relative to their peers, Ron or Karla?
Due to the lower z-score, Ron had a better yean than Karla relative to their peers.