School x and y are in a comepetition. School x has 8 more points than school y and 3 times more points as school y . How many po
1 answer:
Answer: School Y has 4 points and School X has 12 points.
Explanation:
Let the number of points School Y has be x
Let the number of points School X has be 3x
According to question, we get
So, the number of point School Y has 4.
and number of points School X has
Hence, School Y has 4 points and School X has 12 points.
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the probability that the sample mean will be smaller than m = 22 is 0.02275.
For the given question,
A z-score measures exactly how many standard deviations a data point is above or below the mean. It allows us to calculate the probability of a score occurring within our normal distribution and enables us to compare two scores that are from different normal distributions.
Here sample size, n = 4
mean, μ = 30
standard deviation, σ = 8
The probability that the sample mean will be smaller than m = 22 is
z =
⇒ z =
⇒ z =
⇒ z =
⇒ z = -2
Refer the Z table for p value,
Thus for P(z < -2) is 0.02275.
Hence we can conclude that the probability that the sample mean will be smaller than m = 22 is 0.02275.
Learn more about probability of the sample mean here
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