A poll was taken of 588 residents in a county. The residents sampled were asked whether they think their local government did a
good job overall. 490 responded ""yes"". Let p denote the proportion of all residents in that county who think their local government did a good job. Construct a 95% confidence interval for p: Round off to two decimal places.
1 answer:
Answer:
[472.29, 507.71]
Step-by-step explanation:
The proportion is
490/588 = 0.8333
The mean can be estimated as
= 490
and the standard deviation can be approximated with
= 9.037
and we just need to find two values a and b such that the area under the Normal curve of mean 490 and standard deviation 9.037 between a and b equals 95% = 0.95
<h3>(See picture)</h3>With the help of a spreadsheet we can easily find these values which are
a = 472.288
b = 507.712
and the interval we are looking for, rounded to 2 decimals, is [472.29, 507.71]
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Answer: 3 million barrels
Step-by-step explanation:
Given :- Total crude oil= 60 million barrels
Quantity of gasoline = 34% of total crude oil
Quantity of diesel = 29% of total crude oil
Clearly, Quantity of gasoline is more than Quantity of diesel
difference = Quantity of gasoline-Quantity of diesel
Therefore, The production of gasoline is 3 million barrels more than diesel last year.
First thing to do is to illustrate the problem, Since it was mentioned that work was along the way to training, the order is shown in the picture. Mary's home and workplace are nearer compared to her training center. It is also mentioned that the distance between work and home, denoted as x, is 2/3 of the total distance from home to training. The total distance is (x + 2.5). Thus,
x = 2/3(x+2.5)
x = 2/3 x + 5/3
1/3 x = 5/3
x = 5 km
Thus, the distance from home to work is 5 km. This means that Mary has to walk this distance twice to return home to get her shoes. Then, she will travel again the total distance of 5+2.5 = 7.5 km to get to her training center. So,
Total distance = 2(5km) + 7.5 km
Total distance = 17.5 km
x = 2/3(x+2.5)
x = 2/3 x + 5/3
1/3 x = 5/3
x = 5 km
Thus, the distance from home to work is 5 km. This means that Mary has to walk this distance twice to return home to get her shoes. Then, she will travel again the total distance of 5+2.5 = 7.5 km to get to her training center. So,
Total distance = 2(5km) + 7.5 km
Total distance = 17.5 km
Since the Venus orbits round the sun, the sun is the center of the circular path of the revolution of the planet, Venus.
Thus, the distance of the planet, Venus fron the sun is given by the distance between the points (0, 0) and (41, 53).
Recall that the distance between two points
and 
is given by 
Thus, the distance between the points (0, 0) and (41, 53) is given by:
Given that each unit of the plane represents 1 million miles, therefore, the distance from the sun to the Venus is 67 million miles.
Thus, the distance of the planet, Venus fron the sun is given by the distance between the points (0, 0) and (41, 53).
Recall that the distance between two points
Thus, the distance between the points (0, 0) and (41, 53) is given by:
Given that each unit of the plane represents 1 million miles, therefore, the distance from the sun to the Venus is 67 million miles.