A=p(1+i/m)^mn
Interest earned
I=A-p
A=980×(1+0.08÷4)^(4×5)
A=1,456.23
I=1,456.23−980
I=476.23
A=7,200×(1+0.04)^(8)
A=9,853.69
I=9,853.69−7,200
I=2,653.69
A=15,520×(1+0.06÷2)^(2×4)
A=19,660.27
I=19,660.27−15,520
I=4,140.27
Answer:
a)
And we can conclude that we are 95% confident that the true mean of Co2 level is between 608.29 and 700.03 ppm
b)
Step-by-step explanation:
Part a
The confidence interval for the mean is given by the following formula:
(1)
In order to calculate the critical value
we need to find first the degrees of freedom, given by:
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: "=-T.INV(0.025,51)".And we see that
Replacing we got:
And we can conclude that we are 95% confident that the true mean of Co2 level is between 608.29 and 700.03 ppm
Part b
The margin of error is given by :
(a)
The desired margin of error is ME =50/2=25 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
, and we use an estimator of the population variance the value of 175 replacing into formula (b) we got:
Answer:
z4/x3y2
Step-by-step explanation:
apply the product to a power rule
power rule
negative exponents