Item 14
1 answer:
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Answer:
So the answer for this case would be n=11 rounded up to the nearest integer
Step-by-step explanation:
Previous concepts
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".
represent the sample mean for the sample
population mean (variable of interest)
represent the population standard deviation
n represent the sample size
Solution to the problem
The confidence interval for the mean is given by the following formula:
(1)
The confidence interval for this case is given by: (740, 920)
We can find the estimate for the mean and we got:
and the margin of error is given by :
The margin of error is given by this formula:
(a)
And on this case we have that ME =90 and we are interested in order to find the value of n, if we solve n from equation (a) we got:
(b)
The critical value for 95% of confidence interval now can be founded using the normal distribution. And in excel we can use this formla to find it:"=-NORM.INV(0.025;0;1)", and we got , replacing into formula (b) we got:
So the answer for this case would be n=11 rounded up to the nearest integer
Let's callx = number of dimes.y = number of nickels.We must make a system of two equations with two incgonitas to solve the problem and find the solution, knowing that we have 50 coins and that between both they add $ 4.50.The result is x = 40, y = 10.I attach the solution to the problem.
