Answer:
The margin of error for a 95% confidence interval estimate for the population mean using the Student's t-distribution is of 6.22 ounces.
Step-by-step explanation:
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 23 - 1 = 22
95% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 22 degrees of freedom(y-axis) and a confidence level of 
. So we have T = 2.0739
The margin of error is:
M = T*s
In which s is the standard deviation of the sample.
In this question:
s = 3.
Then
M = 2.0739*3 = 6.22
The margin of error for a 95% confidence interval estimate for the population mean using the Student's t-distribution is of 6.22 ounces.
9514 1404 393
Answer:
(d) 2/3(11)
Step-by-step explanation:
The height of the cylinder is h=2r, so the volume of the cylinder in terms of radius is ...
V = πr^2·h = πr^2·(2r) = 2πr^3
The volume of the sphere is given by the formula ...
V = (4/3)πr^3
So, the ratio of the sphere volume to the cylinder volume is ...
sphere volume / cylinder volume = ((4/3)πr^3)/(2πr^3) = (4/3)/2 = 2/3
That is, the sphere volume is ...
sphere volume = (2/3) × (cylinder volume)
V = (2/3)(11)
Step-by-step explanation:
Midpoint of Hypotenuse
= [(0 + n)/2, (n + 0)/2]
= (n/2, n/2) or (0.5n, 0.5n).
Answer:
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$535,528.03
Since the semiannual withdrawals will be made for 35 years, the annuity will have two payments per year.
You may use a financial calculator to calculate the balance that will match the present value of your annuity distributions when you retire. The following are the inputs:
N = 35*2 = 70 semi-annual withdrawals total time
I/Y = 4.5 percent /2 = 2.25 percent semi-annual interest rate
FV = 0 (future value) (use 0 in annuity if not given)
PMT = 15,265; semi-annual payment
Enter the functions to find PV: CPT PV = 535,528.026
As a result, the person will need $535,528.03 in cash.
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