Consider two circular swimming pools. Pool A has a radius of 34 feet, and Pool B has a diameter of 20.92 meters. Complete the de
1 answer:
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Answer:
n=369
Step-by-step explanation:
1) Notation and definitions
number of the selected labourers opt for a new incentive scheme.
random sample taken
estimated proportion of the selected labourers opt for a new incentive scheme.
true population proportion of the selected labourers opt for a new incentive scheme.
A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".
The margin of error is the range of values below and above the sample statistic in a confidence interval.
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 population proportion have the following distribution
2) Solution tot he problem
In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 95% of confidence, our significance level would be given by and
. And the critical value would be given by:
The margin of error for the proportion interval is given by this formula:
(a)
And on this case we have that and we are interested in order to find the value of n, if we solve n from equation (a) we got:
(b)
And replacing into equation (b) the values from part a we got:
And rounded up we have that n=369
Answer:
The rate at which the total income is increasing is$1627415600
Step-by-step explanation:
From the given data
Population in the area=P=961400
The rate of increase in population=dP/dt=9200
The Average Income=I=$30593
The rate of increase in Average Income=dI/dt=$1400
Now the total income is given as
Total Income=TI=PI
So the rate of increase of total personal income is given as
From the product rule of derivatives
Here
I is the Average Income which is given as $30593
dI/dt is the rate of increase of income which is given as $1400.
P is the population of the area which is given as 961400
dP/dt=9200 is the rate of increase of population which is given as 9200
By substituting the values,
So the rate at which the total income is increasing is$1627415600