The average July rainfall in a city is 7 inches , but the actual rainfall may vary by as much as 4 inches. What is the range , i
2 answers:
Answer:
C.
Step-by-step explanation:
Let R represent range, in inches, of the possible rainfall in July.
We have been given that the average July rainfall in a city is 7 inches , but the actual rainfall may vary by as much as 4 inches.
We will use tolerance formula to solve our given problem.
Using absolute value rule , then
, we will get:
Therefore, option C represents range, in inches, of the possible rainfall in July.
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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.