Gordon read a total of 35 pages, so if there is p pages read per day and 10 days you'd have something that looks like this: 35 = 10p.
Answer:
a. CI=[128.79,146.41]
b. CI=[122.81,152.39]
c. As the confidence level increases, the interval becomes wider.
Step-by-step explanation:
a. -Given the sample mean is 137.6 and the standard deviation is 20.60.
-The confidence intervals can be constructed using the formula;
where:
is the sample standard deviation
is the s value of the desired confidence interval
we then calculate our confidence interval as:
![\bar X\pm z\frac{s}{\sqrt{n}}\\\\=137.60\pm z_{0.05/2}\times\frac{20.60}{\sqrt{21}}\\\\=137.60\pm1.960\times \frac{20.60}{\sqrt{21}}\\\\=137.60\pm8.8108\\\\\\=[128.789,146.411]](https://tex.z-dn.net/?f=%5Cbar%20X%5Cpm%20z%5Cfrac%7Bs%7D%7B%5Csqrt%7Bn%7D%7D%5C%5C%5C%5C%3D137.60%5Cpm%20z_%7B0.05%2F2%7D%5Ctimes%5Cfrac%7B20.60%7D%7B%5Csqrt%7B21%7D%7D%5C%5C%5C%5C%3D137.60%5Cpm1.960%5Ctimes%20%5Cfrac%7B20.60%7D%7B%5Csqrt%7B21%7D%7D%5C%5C%5C%5C%3D137.60%5Cpm8.8108%5C%5C%5C%5C%5C%5C%3D%5B128.789%2C146.411%5D)
Hence, the 95% confidence interval is between 128.79 and 146.41
b. -Given the sample mean is 137.6 and the standard deviation is 20.60.
-The confidence intervals can be constructed using the formula in a above;
![\bar X\pm z\frac{s}{\sqrt{n}}\\\\=137.60\pm z_{0.01/2}\times\frac{20.60}{\sqrt{21}}\\\\=137.60\pm3.291\times \frac{20.60}{\sqrt{21}}\\\\=137.60\pm 14.7940\\\\\\=[122.806,152.394]](https://tex.z-dn.net/?f=%5Cbar%20X%5Cpm%20z%5Cfrac%7Bs%7D%7B%5Csqrt%7Bn%7D%7D%5C%5C%5C%5C%3D137.60%5Cpm%20z_%7B0.01%2F2%7D%5Ctimes%5Cfrac%7B20.60%7D%7B%5Csqrt%7B21%7D%7D%5C%5C%5C%5C%3D137.60%5Cpm3.291%5Ctimes%20%5Cfrac%7B20.60%7D%7B%5Csqrt%7B21%7D%7D%5C%5C%5C%5C%3D137.60%5Cpm%2014.7940%5C%5C%5C%5C%5C%5C%3D%5B122.806%2C152.394%5D)
Hence, the variable's 99% confidence interval is between 122.81 and 152.39
c. -Increasing the confidence has an increasing effect on the margin of error.
-Since, the sample size is particularly small, a wider confidence interval is necessary to increase the margin of error.
-The 99% Confidence interval is the most appropriate to use in such a case.
Step-by-step explanation:
I don't know what this is asking so ill tell you any way i can think of.
1. 89 + 10 = 99
2. 99 - 10 = 89
3. What is 10 more than 99? We are looking for a new number which is 10 more than 99. We will get the new number by adding 10 to 99. We write it down as: 99+10=109 And finally the solution for: What number is 10 more than 99? is 109
4. 10 mehr als eine Zahl ist 99.
First of all, anything to the power of 0 is 0. And second, 0 to the power of anything is 0. Therefore, the answer is 0..
The distance of the coin from the base of building is 37.3 m.
<h3>What is
angle of depression?</h3>
An angle of depression is stated to be formed by a horizontal line and the line that connects an item and the observer's eye. It is mostly used to determine the distance between the two objects when we are aware of the angles and height of an object above the ground.
Following is a list of the fundamental trigonometric ratio formulae, and both have the same formula for the angle of depression:
sin x = hypotenuse/perpendicular
base/hypotenuse = cos x
tan x = base/perpendicular
Let x serve as a representation of the distance from the coin to the building's base. When we use the necessary trigonometric function, we get:
Tan θ = perpendicular/base
Tan 15 = 10/x
0.2680 = 10/x
x = 10/0.2680
x = 37.3134
x = 37.3 m
The distance of the coin from the base of the building is 37.3 m.
To know more about angle of depression, visit:
brainly.com/question/21629652
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