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Maksim231197 [3]
3 years ago
8

In a study conducted in the United Kingdom about sleeping positions, 1000 adults in the UK were asked their starting position wh

en they fall asleep at night. The most common answer was the fetal position (on the side, with legs pulled up), with 41% of the participants saying they start in this position. Use a normal distribution to find a 95% confidence interval for the proportion of all UK adults who start sleep in this position. Use the fact that the standard error of the estimate is 0.016.
Mathematics
1 answer:
Lady_Fox [76]3 years ago
4 0

Answer: = ( 0.411, 0.409)

Therefore at 95% confidence interval (a,b) = (0.411, 0.409)

Step-by-step explanation:

Confidence interval can be defined as a range of values so defined that there is a specified probability that the value of a parameter lies within it.

The confidence interval of a statistical data can be written as.

x+/-zr/√n

Given that;

Mean gain x = 0.41

Standard deviation r = 0.016

Number of samples n = 1000

Confidence interval = 95%

z(at 95% confidence) = 1.96

Substituting the values we have;

0.41+/-1.96(0.016/√1000)

0.41+/-1.96(0.000506)

0.41+/-0.00099

0.41+/-0.001

= ( 0.411, 0.409)

Therefore at 95% confidence interval (a,b) = (0.411, 0.409)

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Answer:

f(x) = 3(2)^x

Step-by-step explanation:

The Table is:

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The exponential funtion has the next form:

f(x) = a(b)^x

At x = 0, f(x) = a. Then, a = 3

Isolating b from the equation:

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ln(f(x)/a) = x*ln(b)

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An exponential function and a quadratic function are graphed below. Which of the following is true of the growth rate of the fun
aleksley [76]
Given an exponential function, say f(x), such that f(0) = 1 and f(1) = 2 and a quadratic finction, say g(x), such that g(0) = 0 and g(1) = 1.

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Answer:

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Given information:

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now we calculate the probability that the average diameter of those sand dollars is more than 4.73 centimeters.

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I believe it is 12 cents
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