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victus00 [196]
3 years ago
8

The central limit theorem states that sampling distributions are always the same shape as the population distribution from whenc

e the data came. True or False
Mathematics
1 answer:
sergejj [24]3 years ago
3 0

Explanation:

The sample mean is not always equal to the population mean but if we take more and more number of samples from the population then the mean of the sample would become equal to the population mean.

The Central Limit Theorem states that we can have a normal distribution of sample means even if the original population doesn't follow normal distribution, But we have to take a lot of samples.

Suppose a population doesn't follow normal distribution and is very skewed then we can still have sampling distribution that is completely normal if we take a lot of samples.

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Distribute and simplify the following:<br><br>3 ( x + 4) + 2 ( 5 - x)​
lesya [120]

Step-by-step explanation:

Given

3 ( x + 4) + 2 ( 5 - x)

= 3x + 12 + 10 - 2x

= x + 22

Hope it will help :)❤

4 0
2 years ago
Alma is offered a job as a receptionist in a medical office. She will be paid $19.20 per hour for 37 hours per week. The office
dalvyx [7]

Answer: I believe the answer would be $42,890.80 is the total annual(yearly value) of Almas job.

Step-by-step explanation: First you need to figure out that $19.20 x 37= $710.40(hourly wage per week). Then, you need to figure out that $710.40 x 52 = $36,940.80(the weekly wage x the 52 weeks in the year). Next, add the yearly medical coverage. $5,500 + $36,940.80 = $42,440.80. Now, you know that 1/2 of the dental is going to be $350 and 1/2 of the life insurance is going to be $100. Add those to your previous balance. $42,440.80 + 350 + 100 = 42,890.80.

7 0
3 years ago
2 2<br>3<br>5 x 5 xt<br>(.2x50x+²<br>2​
geniusboy [140]

Answer:

330

Step-by-step explanation:

5 0
3 years ago
100 POINTS FOR WHOEVER ANSWER THIS QUESTION FULLY!!!
natulia [17]

Answer:

  • Yes, diagonals bisect each other

Step-by-step explanation:

<em>See attached</em>

Plot the points on the coordinate plane

Visually, it is seen that the diagonals bisect each other.

We can prove this by calculating midpoints of AC and BD

<u>Midpoint of AC has coordinates of:</u>

  • x = (1 - 1)/2 = 0
  • y = (4 - 4)/2 = 0

<u>Midpoint of BD has coordinates of:</u>

  • x = (4 - 4)/2 = 0
  • y = (-1 + 1)/2 = 0

As per calculations the origin is the bisector of the diagonals.

7 0
3 years ago
Blood pressure values are often reported to the nearest 5 mmHg (100, 105, 110, etc.). The actual blood pressure values for nine
Paladinen [302]

Answer:

a) 117.4

b) 117.9

c) Option A)  When there is rounding or grouping, the median can be highly sensitive to small change

Step-by-step explanation:

We are given the following data set in the question:

108.6, 117.4, 128.4, 120.0, 103.7, 112.0, 98.3, 121.5, 123.2

Median:\\\text{If n is odd, then}\\\\Median = \displaystyle\frac{n+1}{2}th ~term \\\\\text{If n is even, then}\\\\Median = \displaystyle\frac{\frac{n}{2}th~term + (\frac{n}{2}+1)th~term}{2}

n = 9

a) Median of the reported blood pressure values

Sorted Values: 98.3, 103.7, 108.6, 112.0, 117.4, 120.0, 121.5, 123.2, 128.4

Median =

\dfrac{9 + 1}{2}^{th}\text{ term} = 5^{th}\text{ term} = 117.4

b) New median of the reported values

Data: 108.6, 117.9, 128.4, 120.0, 103.7, 112.0, 98.3, 121.5, 123.2

Sorted Values: 98.3, 103.7, 108.6, 112.0, 117.9, 120.0, 121.5, 123.2, 128.4

New Median =

\dfrac{9 + 1}{2}^{th}\text{ term} = 5^{th}\text{ term} = 117.9

c) Since median is a position based descriptive statistics, a small change in values can bring a change in the median value as the order of the data may change.

Option A)  When there is rounding or grouping, the median can be highly sensitive to small change

7 0
3 years ago
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