Lily has two times as much money invested in 8% stocks as she has in bonds paying 6%. How much she has invested in stocks if he
1 answer:
Answer:
$2960
Step-by-step explanation:
Lily has two times as much money invested in 8% stocks,
As she has in bonds paying 6%
Let the money invested in 8% stocks be 2x dollars,
The money in bonds paying 6% is then x dollars.
So, $2x() + $x(
) = $325.6
$0.16x + $0.06x = $325.6
$0.22x = $325.6
x = $1480
The money she has invested in stocks is 2x = 2 × $1480 = $2960
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Answer:
So on this case the 95% confidence interval would be given by (315839.52;324416.48)
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
population mean (variable of interest)
represent the population standard deviation
n=529 represent the sample size
Solution to the problem
The confidence interval for the mean is given by the following formula:
(1)
Since the Confidence is 0.95 or 95%, the value of and
, and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-NORM.INV(0.025,0,1)".And we see that
Now we have everything in order to replace into formula (1):
So on this case the 95% confidence interval would be given by (315839.52;324416.48)