342.857 to the nearest hundredth
1 answer:
You might be interested in
Answer:
Let X the random variable that represent the heights of a population, and for this case we know the distribution for X is given by:
Where and
Since the disgtribution for X is normal then the distribution for the sample mean is given by:
We can find the probability of interest we got:
And using the complement rule and a calculator, excel or the normal standard table we got this:
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 heights of a population, and for this case we know the distribution for X is given by:
Where and
Since the disgtribution for X is normal then the distribution for the sample mean is given by:
We can find the probability of interest we got:
And using the complement rule and a calculator, excel or the normal standard table we got this: