Step-by-step explanation:
Consider the provided information.
Part (A) We need to find the confidence coefficient.
The given value or percentage of probability is known as the confidence coefficient that the interval contains the parameter.
Hence, the confidence coefficient is 0.90
Part (B) Practical interpretation of both of the 99% confidence intervals.
It means that there is 99% confident that the mean of population HRV for officers diagnosed hypertension which lies between 6.9 and 122.9
There is 99% confident that the mean of population HRV for officers those are not hypertensive which lies between 144.2 and 184.9.
Part (C)
If you are saying 99% confident that means the 99% of the similarly generated confidence intervals will contain the true value of the population mean in repeated sampling.
Part (D)
If We want to reduce the width of each confidence interval, you need to use smaller confidence coefficient.
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Start off with: 5 1/6 - 1 5/9
turn it into an entire fraction: 31/6 - 14/9
make a common denominator (which is 18): 93/18 - 28/18 = 93 - 28 = 65/18
65/18 + 7 2/3 is the new equation
7 2/3 = 23/3
23/3 = 138/18
65/18 + 138/18 = 203/18
Simplify: 203/18 = 11 5/18
Answer: 11 5/18
Answer:
x = -3
Step-by-step explanation:
36(x + 4) = 36
Divide both sides by 36
x + 4 = 1
Subtraact 4 from both sides
x = -3
Answer: Area of ΔABC is 2.25x the area of ΔDEF.
Step-by-step explanation: Because equilateral triangle has 3 equal sides, area is calculated as

with a as side of the triangle.
Triangle ABC is 20% bigger than the original, which means its side (a₁) measures, compared to the original:
a₁ = 1.2a
Then, its area is


Triangle DEF is 20% smaller than the original, which means its side is:
a₂ = 0.8a
So, area is


Now, comparing areas:

2.25
<u>The area of ΔABC is </u><u>2.25x</u><u> greater than the area of ΔDEF.</u>