Alba needed to know about how much the sum of 19.6, 23.8, and 38.4 is. She correctly rounded each of these numbers to the neares
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Answer:
Where and
We select a sample size of n =8. Since the distribution for X is normal then we know that the distribution for the sample mean is given by:
And the standard error would be:
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".
Solution to the problem
Let X the random variable that represent the compressive strength of concrete of a population, and for this case we know the distribution for X is given by:
Where and
We select a sample size of n =8. Since the distribution for X is normal then we know that the distribution for the sample mean is given by:
And the standard error would be: