Answer:
The 95% confidence interval for the population mean daily protein intake is between 69.97g and 84.03g.
Step-by-step explanation:
We have that to find our
level, that is the subtraction of 1 by the confidence interval divided by 2. So:
![\alpha = \frac{1-0.95}{2} = 0.025](https://tex.z-dn.net/?f=%5Calpha%20%3D%20%5Cfrac%7B1-0.95%7D%7B2%7D%20%3D%200.025)
Now, we have to find z in the Ztable as such z has a pvalue of
.
So it is z with a pvalue of
, so ![z = 1.96](https://tex.z-dn.net/?f=z%20%3D%201.96)
Now, find M as such
![M = z*\frac{\sigma}{\sqrt{n}}](https://tex.z-dn.net/?f=M%20%3D%20z%2A%5Cfrac%7B%5Csigma%7D%7B%5Csqrt%7Bn%7D%7D)
In which
is the standard deviation of the population and n is the size of the sample.
![M = 1.96*\frac{58.6}{\sqrt{267}} = 7.03](https://tex.z-dn.net/?f=M%20%3D%201.96%2A%5Cfrac%7B58.6%7D%7B%5Csqrt%7B267%7D%7D%20%3D%207.03)
The lower end of the interval is the sample mean subtracted by M. So it is 77 - 7.03 = 69.97g.
The upper end of the interval is the sample mean added to M. So it is 77 + 7.03 = 84.03g.
The 95% confidence interval for the population mean daily protein intake is between 69.97g and 84.03g.
From the given Image :
mkl is the angel of <span>elevation from Carlos to the helicopter.</span>
The answer is C: Divide the arc's degree measure by 360°, then multiply by the circumference of the circle.
Explanation.
Let r = radius of the circle
Then the circumference is C = 2πr.
Let the degree measure of the arc be x degrees.
In radians, the angle is (x/180)π radians
The measure of the arc is
r*(x/180)π = (x/180)*πr
= (2x/360)*πr
= (x360)*2πr
= (x/360)*C
This proves the statement for the answer because
x/360 is the degree measure divided by 360,
C is the circumference.
99+8 = 107, she had $107 before buying the pie.
Answer: Yo-yo
Concept:
In order to find the Cost Per Toy, we need to do the operation Cost / Toy.
Solve:
Slinky = Cost / Toy = 9 / 5 = $1.8 per toy
Wind-up robot = Cost / Toy = 16 / 8 = $2 per toy
<u>Yo-yo = Cost / Toy = 15 / 6 = $2.5 per toy</u>
Emoji beach ball = Cost / Toy = 3 / 2 = $1.5 per toy
Hope this helps!! :)
Please let me know if you have any questions