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lora16 [44]
3 years ago
5

24 students will be divided into 4 equal-sized teams. Each student will count off, beginning with the number 1 as the first team

. If Nate is the 11th student to count off, to which team number will he be assigned?
Mathematics
1 answer:
tino4ka555 [31]3 years ago
5 0
1    2    3    4
5    6    7    8
9    10  11  12

team 3
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Answer:

Z=-2

This value means that the score of Rachel 550 it's 2 deviations below the mean of the population \mu=600

Step-by-step explanation:

1) Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

\mu=600 represent the population mean for the Graduate Record Exam (GRE)

\sigma=25 represent the population standard deviation for Graduate Record Exam (GRE)

2) Solution to the problem

Let X the random variable that represent the Graduate Record Exam (GRE) of a population, and for this case we know the distribution for X is given by:

X \sim N(600,25)  

Where \mu=600 and \sigma=25

We want to find the z score for a score of 550. And in order to do this we need to apply the formula for the z score given by:

z=\frac{x-\mu}{\sigma}

If we apply this formula to our probability we got this:

z=\frac{550-600}{25}=-2

So the answer for our case would be Z=-2

This value means that the score of Rachel 550 it's 2 deviations below the mean of the population \mu=600

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