About 96.63% of the area under the curve of the standard normal distribution is between z = − 2.124 and z = 2.124 (or within 2.124 standard deviations of the mean).
What is the standard normal distribution?
A continuous probability distribution for a real-valued random variable is called a normal distribution or a Gaussian distribution in statistics. Graphs make it simple to identify the following key traits of normal distributions: The mode, median, and mean are all equal. About the mean, the distribution is symmetric; half of the values are below and half are above the mean. Two numbers, the mean and the standard deviation, can be used to describe the distribution.
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Between z = 2.124 and z = 2.124, approximately 96.63% of the standard normal distribution's area under the curve is located (or within 2.124 standard deviations of the mean).
What is the standard normal distribution?
In statistics, a normal distribution or a Gaussian distribution is a continuous probability distribution for a real-valued random variable. Using graphs, it is simple to spot the following essential characteristics of normal distributions: The mean, median, and mode all have the same values. The distribution is symmetric with respect to the mean; half of the values are below and half are above the mean. The distribution can be described using two numbers: the mean and the standard deviation.
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Create all of the possible arrays for modeling a rectangular quilt with
the 24 paper squares. Write an equation to accompany each array.
You can use the attached pre-made quilt squares by cutting and
pasting them, or you can draw the arrays with your own designs on a
separate sheet of paper?
An equation to accompany each array is as follows;
(r³ - 3) × 1 = 24, (r² + 3) × 2 = 24, (r² - 1 ) × 3 = 24, (r² - 3 ) × 4 = 24, (r) × 8 = 24, (r - 1 ) × 12 = 24, and (r - 2) × 12 = 24 where, r = 3.
How to model a rectangular array?The rectangular array will be considered as rows.
Now, when we take the first side as the length represented by L and the second side as the width represented by W.
Area of a rectangle is given by the formula;
Area = length * width
Area = L * W
We are modeling a rectangular quilt with the 24 paper squares and as such the total area of the quilt is 24 squares which means;
24 × 1 = 24
All squares are arranged in a single row;
(r³ - 3) × 1 = 24
12 × 2 = 24
12 squares arranged in 2 rows.
(r² + 3) × 2 = 24
8 × 3 = 24
8 squares arranged in 3 rows.
(r² - 1 ) × 3 = 24
6 × 4 = 24
6 squares arranged in 4 rows.
(r² - 3 ) × 4 = 24
3 × 8 = 24
3 squares arranged in 8 rows.
(r) × 8 = 24
2 × 12 = 24
2 squares arranged in 12 rows.
(r - 1 ) × 12 = 24
1 × 24 = 24
1 square arranged in 24 rows.
(r - 2) × 12 = 24
In all of the above r = 3.
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Normal distribution with mean 3.8 and standard deviation 0.4 Sample size 16. What is the standard deviation of the sampling distribution of the sample mean length?
The standard deviation of the sampling distribution of the sample mean length is of:
s = 0.1.
How to obtain the standard deviation of the sample mean?According to the Central Limit Theorem, the sampling distribution of sample means of size n, from a normally distributed population in which the mean and the standard deviation are known, has these following features:
Shape: Approximately Normal.Mean: Same as population mean.Standard deviation: standard deviation of the population divided by the sample size.In the context of this problem, the values of the parameters are given as follows:
Standard deviation of the population: 0.4.Sample size: 16.The square root of the sample size is of:
4.
Hence the standard deviation of the sampling distribution of the sample mean length is of:
0.4/4 = 0.1.
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Question 6 of 20
Signs of test.
include insomnia, headaches, and panic.
OA. exhilaration
O B. anxiety
O C. depression
OD. fatigue
Answer:
B. Anxiety
Explanation:
Explain the difference between personal traits and interpersonal skills.
Answer:
Although both sets of qualities are necessary to succeed, a personal trait is a part of your character, analogous to your attitude and how you see and interact with the world at large. Interpersonal skills are the behaviors and tools that you actually use to deal with other people.
Explanation:
what are the conditions to obtain internally valid causal estimates from a randomized evaluation?*
Internal validity examines if the planning, carrying out, and analysis of the study yield objective solutions to the research objectives.
What is internal validity?Internal validity is defined as the level of assurance that the causal link you are evaluating is not affected by additional variables or circumstances. As a result of ignoring confounding factors, high internal validity enables the researcher to select one explanation over another with sufficient confidence.
When three conditions are met the "cause" precedes the "effect" in time, the "cause" and the "effect" tend to occur together, and a valid causal inference may be drawn. There aren't any logical alternatives to the observed covariation.
Thus, internal validity tests whether the study's planning, execution, and analysis provide unbiased answers to the research objectives.
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How does good health contribute to career success?
Answer: Good physical health not only keeps diseases at bay, but also improves brain function, energy levels, self-confidence, and innovation. All of these open the door to success and assist you in achieving your life objectives.
Answer:
you live healthier and longer
Explanation:
6. Hair grows at an average rate of 0.5 inches per
month. Courtney refused to cut her hair from the
time she was 8 years old until she was 20 years
old. If Courtney's hair grew at the average rate,
approximately how many inches did her hair grow
during the time she refused to cut her hair?
F. 4
G. 6
H. 14
J. 72
K. 78
Answer:
96 inches
Explanation:
20 - 8 = 16 years of growth
16 x 12 = 192 months
192 x 0.5 inches = 96 inches