A.(x-6, y-5). B.(x.-5, y-6) c.(x+5, y+6). D.(x+ 6, y+5)
2 answers:
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Answer:
a. z-score for the number of sags for this transformer is ≈ 1.57 . The number of sags found in this transformer is within the highest 6% of the number of sags found in the transformers.
b. z-score for the number of swells for this transformer is ≈ -3.36. The number of swells found in the transformer is extremely low and within the lowest 1%
Step-by-step explanation:
z score of sags and swells of a randomly selected transformer can be calculated using the equation
z= where
- X is the number of sags/swells found
- M is the mean number of sags/swells
- s is the standard deviation
z-score for the number of sags for this transformer is:
z= ≈ 1.57
the number of sags found in the transformer is within the highest 6% of the number of sags found in the transformers.
z-score for the number of swells for this transformer is:
z= ≈ -3.36
the number of swells found in the transformer is extremely low and within the lowest 1%
Answer:
82.31% of women have red blood cell counts in the normal range from 4.2 to 5.4 million cells per microliter
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
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 problem, we have that:
Approximately what percentage of women have red blood cell counts in the normal range from 4.2 to 5.4 million cells per microliter?
This is the pvalue of Z when X = 5.4 subtracted by the pvalue of Z when X = 4.2. So
X = 5.4
has a pvalue of 0.9842
X = 4.2
has a pvalue of 0.1611
0.9842 - 0.1611 = 0.8231
82.31% of women have red blood cell counts in the normal range from 4.2 to 5.4 million cells per microliter