Answer:
24
Step-by-step explanation:
I think there the same for each but I hope I helped
Answer:
The 95% confidence interval estimate for the true proportion of adults residents of this city who have cell phones is (0.81, 0.874).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of
, and a confidence level of
, we have the following confidence interval of proportions.
![\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}](https://tex.z-dn.net/?f=%5Cpi%20%5Cpm%20z%5Csqrt%7B%5Cfrac%7B%5Cpi%281-%5Cpi%29%7D%7Bn%7D%7D)
In which
z is the zscore that has a pvalue of
.
For this problem, we have that:
![n = 500, \pi = \frac{421}{500} = 0.842](https://tex.z-dn.net/?f=n%20%3D%20500%2C%20%5Cpi%20%3D%20%5Cfrac%7B421%7D%7B500%7D%20%3D%200.842)
95% confidence level
So
, z is the value of Z that has a pvalue of
, so
.
The lower limit of this interval is:
![\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.842 - 1.96\sqrt{\frac{0.842*0.158}{500}} = 0.81](https://tex.z-dn.net/?f=%5Cpi%20-%20z%5Csqrt%7B%5Cfrac%7B%5Cpi%281-%5Cpi%29%7D%7Bn%7D%7D%20%3D%200.842%20-%201.96%5Csqrt%7B%5Cfrac%7B0.842%2A0.158%7D%7B500%7D%7D%20%3D%200.81)
The upper limit of this interval is:
![\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.842 + 1.96\sqrt{\frac{0.842*0.158}{500}} = 0.874](https://tex.z-dn.net/?f=%5Cpi%20%2B%20z%5Csqrt%7B%5Cfrac%7B%5Cpi%281-%5Cpi%29%7D%7Bn%7D%7D%20%3D%200.842%20%2B%201.96%5Csqrt%7B%5Cfrac%7B0.842%2A0.158%7D%7B500%7D%7D%20%3D%200.874)
The 95% confidence interval estimate for the true proportion of adults residents of this city who have cell phones is (0.81, 0.874).
Answer:
Tyler is right
Step-by-step explanation:
Given that:
Lenght of wooden plank used = 3.5 feets
Placement of tick marks = 1 1/3 inches apart
Number of tick marks placed = 20
Recall:
1 foot = 12 inches
Hence, length of wooden post in inches :
3.5 * 12 = 42 inches on length
Total length covered by the ticks placed :
1 1/3 inches * Number of ticks placed
1. 333 * 20 = 26.6667 inches
Unmarked length = length of post - length covered by tickmark
Unmarked length = (42 - 26.6666) inches
Unmarked length = 15.3333 inches.
Hence,
Within 15 - 16 inches are yet to be marked.
I think it would take an average of both the numbers so first find the average of 60 and 90 by adding and dividing by two. You will get 75 seconds. That is the answer
1. 24÷12 =$2 $2 is the answer
2. $140÷$20=7 $270÷$45=6. Elisa and the reason is <---- the working out