A sample of students is taken from the school's A honor roll. The school
1 answer:
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Answer:
If the weight is higher than 5.8886 gr would be considered significantly high
If the weight is lower than 5.6121 gr would be considered significantly low
Step-by-step explanation:
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".
Solution to the problem
Let X the random variable that represent the weights of a population, and for this case we know the distribution for X is given by:
Where and
And the best way to solve this problem is using the normal standard distribution and the z score given by:
For the case when z =-2 we can do this:
And if we solve for X we got:
And for the other case when Z=2 we have:
And if we solve for X we got:
If the weight is higher than 5.8886 gr would be considered significantly high
If the weight is lower than 5.6121 gr would be considered significantly low
Average rate of change of the function:
Step-by-step explanation:
The average rate of change of a function f(x) can be calculated as:
where:
are the x-values of the interval taken into account to evaluate the rate of change of the function
are the values of the function at those points
In this problem, we have:
The function is , so
So, the average rate of change in this interval is:
Learn more about rates of change:
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