Answer:
[$489.83, $883.67]
Step-by-step explanation:
The 98% confidence interval is given by the interval
![\bf [\bar x-t\frac{s}{\sqrt n}, \bar x+t\frac{s}{\sqrt n}]](https://tex.z-dn.net/?f=%5Cbf%20%20%5B%5Cbar%20x-t%5Cfrac%7Bs%7D%7B%5Csqrt%20n%7D%2C%20%5Cbar%20x%2Bt%5Cfrac%7Bs%7D%7B%5Csqrt%20n%7D%5D)
where
=686.75 is the sample mean
s = 256.20 is the sample standard deviation
n = 15 is the sample size
t is the 2% critical value for the Student's t-distribution with 14 degrees of freedom (sample size -1), this is a value such that the area under the Student's t curve outside the interval [-t, t] is 2%=0.02.
We are using the t-distribution for it is the approximation to the Normal distribution for small samples (n<30).
Either by using a table or the computer, we find
t = 2.9768
In Excel we use the function
<em>TINV(0.01,14)
</em>
In OpenOffice Calc
<em>TINV(0.01;14)
</em>
and our 98% confidence interval is
![\bf [686.75-2.9768*\frac{256.20}{\sqrt{15}}, 686.75+2.9768*\frac{256.20}{\sqrt{15}}]=\boxed{[\$489.83,\$883.67]}](https://tex.z-dn.net/?f=%5Cbf%20%20%5B686.75-2.9768%2A%5Cfrac%7B256.20%7D%7B%5Csqrt%7B15%7D%7D%2C%20686.75%2B2.9768%2A%5Cfrac%7B256.20%7D%7B%5Csqrt%7B15%7D%7D%5D%3D%5Cboxed%7B%5B%5C%24489.83%2C%5C%24883.67%5D%7D)
Carlita was either sipping the hot chocolate while she was out, or else
approximating the numbers. The exact number she reported is not
possible. To see why, I'll do it strictly by the math:
Robins = 5 times
Cardinals = 1 time
Total birds = 6 times
6 times = 25 birds
Divide each side by 6 : 1 time = 25/6 = 4-1/6 birds
Robins = 5 times = 20-5/6 of them
Cardinals = 1 time = 4-1/6 of them
Total: (20-5/6) + (4-1/6) = 25 birds.
How many more robins than cardinals = (20-5/6) - (4-1/6) = 16-2/3 more.
The math works out fine. But if the numbers she reported are true,
then some of what she saw was partial birds ... legs, or feathers,
things like that. Eeeew. I don't want to talk about it.
Answer:
10-(4×6×-4)
10+96
=106
Step-by-step explanation:
hope it helps
Answer:
0.4375
Step-by-step explanation:
if F=ma that to find the acceleration then use the formula a = F/m which gives you 0.4375
<h2><u><em>
**Please rate 5 give thanks and vote brainliest**</em></u></h2>
Answer:
(8,6)
Step-by-step explanation:
y=x3/4
y=8(3/4)
y=24/4
y=6
when you input 8 for x, you get 6 for y.
