Answer:
a. The sampling distribution of the sample mean will have a smaller standard deviation than the population.
c. The sampling distribution of the sample mean will be skewed right.
Step-by-step explanation:
The mean refers to the average of a set of data which is the summation of all numbers in the data set divided by the number of values in the set.
Standard deviation is a measure that shows the extent to which each numbers in the data set is different form the value of the mean of a set of data.
Skewness is the asymmetry in or the degree of variation of a specific distribution from a normal distribution of a set of data. It is usually shown by using a symmetrical bell curve, and the curve is considered to be skewed when it is shifted to the right or left.
Since a sample of 5 household will result in a mean and standard deviation of expenses which are less than $38,500 and $10,500 respectively for the population, the sampling distribution of the sample mean will have a smaller standard deviation than the population, and the sampling distribution of the sample mean will be skewed right.
<span><span><span><span><span>(5)</span><span>(<span>−3</span>)</span></span>−<span><span>(4)</span><span>(<span>−3</span>)</span></span></span>−3</span>−<span><span>(3)</span><span>(<span>−3</span>)</span></span></span><span>=<span><span><span><span>−15</span>−<span><span>(4)</span><span>(<span>−3</span>)</span></span></span>−3</span>−<span><span>(3)</span><span>(<span>−3</span>)</span></span></span></span><span>=<span><span><span><span>−15</span>−<span>(<span>−12</span>)</span></span>−3</span>−<span><span>(3)</span><span>(<span>−3</span>)</span></span></span></span><span>=<span><span><span>−3</span>−3</span>−<span><span>(3)</span><span>(<span>−3</span>)</span></span></span></span><span>=<span><span>−6</span>−<span><span>(3)</span><span>(<span>−3</span>)</span></span></span></span><span>=<span><span>−6</span>−<span>(<span>−9</span>)</span></span></span><span>=<span>3</span></span>
The answer would be negative -1.9 or if needed as a fraction, the answer would be -1 9/10
Answer: (7, 20)
Concept:
There are three general ways to solve systems of equations:
- Elimination
- Substitution
- Graphing
Since the question has specific requirements, we are going to use <u>substitution </u>to solve the equations.
Solve:
<u>Given equations</u>
y = 3x - 1
2x + 6 = y
<u>Substitute the y value since both equations has isolated [y]</u>
2x + 6 = 3x - 1
<u>Add 1 on both sides</u>
2x + 6 + 1 = 3x - 1 + 1
2x + 7 = 3x
<u>Subtract 2x on both sides</u>
2x + 7 - 2x = 3x - 2x
<u>Find the value of y</u>
y = 3x - 1
y = 3(7) - 1
y = 21 - 1
Hope this helps!! :)
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