Answer:
$1.07
Explanation:
The marginal cost measures the change in total cost of adding on more worker divided by the change in product for this additional worker (marginal product of labor). When adding one more worker, costs will increase by $80 (wage rate), while product will increase by 75. Therefore, the marginal cost is:
The marginal cost is $1.07.
Answer:
a)
And we can use excel or the normal standard table to find this probability:
b)
And we can use excel or the normal standard table to find this probability:
c)
And we can use excel or the normal standard table to find this probability:
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".
Part a
Let X the random variable that represent the scores for critical reading of a population, and for this case we know the distribution for X is given by:
Where and
We select a sample of size n=90, since the distribution for X is normal then the distribution for the sample size is also normal
And for this case we want this probability:
And for this case we can use the z score given by:
And if we use this formula we got:
And we can use excel or the normal standard table to find this probability:
Part b
Let X the random variable that represent the scores for Math of a population, and for this case we know the distribution for X is given by:
Where and
We select a sample of size n=90, since the distribution for X is normal then the distribution for the sample size is also normal
And for this case we want this probability:
And for this case we can use the z score given by:
And if we use this formula we got:
And we can use excel or the normal standard table to find this probability:
Part c
Let X the random variable that represent the scores for Writing of a population, and for this case we know the distribution for X is given by:
Where and
We select a sample of size n=100, since the distribution for X is normal then the distribution for the sample size is also normal
And for this case we want this probability:
And for this case we can use the z score given by:
And if we use this formula we got:
And we can use excel or the normal standard table to find this probability: