PLEASE HELP ill give BRAINLIST
1 answer:
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Answer:
i)
And replacing we got:
ii)
Step-by-step explanation:
Notation and definitions
number of people that claimed always buckle up.
random sample taken
estimated proportion of people that claimed always buckle up
true population proportion of people that claimed always buckle up
A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".
The margin of error is the range of values below and above the sample statistic in a confidence interval.
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The population proportion have the following distribution
Solution to the problem
Part i
In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 95% of confidence, our significance level would be given by and
. And the critical value would be given by:
The confidence interval for the mean is given by the following formula:
The margin of error is given by:
And replacing we got:
Part ii
And the confidence interval would be given by:
Answer:
Step-by-step explanation:
The total surface area simply consists of three rectangles and two triangles. To find the total surface of the figure, find the sum of each of the shapes that make up the outside of the figure:
2 triangles: 2 x 1/2 x 6 x 8 = 48 ft^2
First rectangle: 6 x 12 = 72 ft^2
Second rectangle: 8 x 12 = 96 ft^2
Third rectangle: 10 x 12 = 120 ft^2
*Note: One of the dimensions is in yards, so make sure to convert it to ft (1 yd = 3ft)
Thus, the total surface area of the figure is 48+72+96+120 = 336 ft^2.