Answer: 0.0944
Step-by-step explanation:
Given : Sample size of cars : n= 150, sample size is greater than 30 , so we use z-test.
Number of cars tested do have faulty catalytic converters =42
Then the proportion of cars have faulty catalytic converters : ![\hat{p}=\dfrac{42}{150}=0.28](https://tex.z-dn.net/?f=%5Chat%7Bp%7D%3D%5Cdfrac%7B42%7D%7B150%7D%3D0.28)
Critical value of z for 99% confidence level : ![z_{\alpha/2}=2.576](https://tex.z-dn.net/?f=z_%7B%5Calpha%2F2%7D%3D2.576)
Formula for Margin of error :
![E=z_{\alpha/2}\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}](https://tex.z-dn.net/?f=E%3Dz_%7B%5Calpha%2F2%7D%5Csqrt%7B%5Cdfrac%7B%5Chat%7Bp%7D%281-%5Chat%7Bp%7D%29%7D%7Bn%7D%7D)
![E=(2.576)\sqrt{\dfrac{0.28(1-0.28)}{150}}\\\\=0.0944377199216\approx0.0944\ \text{Rounded to four decimal places}](https://tex.z-dn.net/?f=E%3D%282.576%29%5Csqrt%7B%5Cdfrac%7B0.28%281-0.28%29%7D%7B150%7D%7D%5C%5C%5C%5C%3D0.0944377199216%5Capprox0.0944%5C%20%5Ctext%7BRounded%20to%20four%20decimal%20places%7D)
Hence, the required margin of error = ![0.0944](https://tex.z-dn.net/?f=0.0944)
Since the problem is given all the total walking distance, the first thing we are going to do is find the total distance in the map:
![Diastance_{map}=3+4+2+1](https://tex.z-dn.net/?f=Diastance_%7Bmap%7D%3D3%2B4%2B2%2B1)
![Distance_{map}=10](https://tex.z-dn.net/?f=Distance_%7Bmap%7D%3D10)
Now that we have the distance in the map, we can establish a ratio between the walking distance and the distance in the map:
![\frac{5miles}{10inches} = 0.5 \frac{mile}{inch}](https://tex.z-dn.net/?f=%20%5Cfrac%7B5miles%7D%7B10inches%7D%20%3D%200.5%20%5Cfrac%7Bmile%7D%7Binch%7D%20)
We can conclude that each inch the map represents 0.5 miles of walking distance.
Answer:
In an experiment of flipping two coins, there are four possible outcomes.
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
The Coriolis effect bends them. Because the Coriolis effect is an effect of north and south winds.