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steposvetlana [31]
3 years ago
7

In statistics, what term means "a numerical range around a sample mean accompanied with a statement of how confident one is that

the true population mean lies within the interval?
Mathematics
1 answer:
Alex Ar [27]3 years ago
3 0

Answer:

Confidence Interval for the mean

Step-by-step explanation:

Confidence interval is made using the observations of a <em>sample</em> of data obtained from a population, so it is constructed in such a way, that, with a certain <em>level of confidence </em>(this is the statement mentioned in the question), that is, one could have a percentage of probability that the interval, or range around the value obtained, frequently 95%, contains the true value of a population parameter (in this case, the population mean).  

It is one way to extract information from a population using a sample of it. This kind of information is what inference statistic is always looking for.

An <u>approximation</u> about how to construct this interval or range:

  1. Select a random sample.
  2. For the specific case of a <em>mean</em>, you need to calculate the mean of the <em>sample </em>(sample mean), and, if standard deviation is unknown or not mentioned, also calculate the sample standard deviation.
  3. With this information, and acknowledged that these values follows a standard normal distribution (a normal distribution with mean 0 and a standard deviation of 1), represented by random variable Z, one can use all this information to calculate a <em>confidence interval for the mean</em>, with a certain confidence previously choosen (for example, 95%), that the population mean must be in this interval or <em>range around this sample mean.</em>

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Mars2501 [29]

a. What is the cost expression for the newspaper? 


The cost would be the sum of fixed cost and the variable cost. The fixed cost is 70 while the variable cost is 0.40 x, where x stands for the number of copies made. That is:

Cost = 70 + 0.40 x            

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b. What is the revenue expression for the newspaper? 

The revenue would simply be the product of selling price and number of copies sold or made, that is:

Revenue = 0.50 x


c. Put the cost and revenue expressions into an inequality that would represent a successful newspaper. 


To have a successful newspaper, the difference of revenue and cost must be greater than 0, that is:

Revenue – Cost > 0

0.50 x – (70 + 0.40 x) > 0


d. How many copies should be sold to make a profit? Show all work! An answer with no work will receive 0 points. 

From the above equation, we solve for x.

0.50 x – (70 + 0.40 x) > 0

0.50 x – 70 – 0.40 x > 0

0.10 x > 70

x > 700

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e. Now go back to your answer for d. On every line of your solution write what property of math you would use to justify the transformation that occurred. 

 

0.50 x – (70 + 0.40 x) > 0                Distribution property

0.50 x – 70 – 0.40 x > 0                    Addition property

0.10 x > 70                                           Addition property

x > 700                                                  Division property

4 0
3 years ago
What is 13.8924439894 rounded to the nearest tenth
gogolik [260]
1st decimal place=tenth
2nd=hundreth

to round, you look at the place after it
so 13.8924439894 to tenth
look untill hundreth
13.89
if hundreth<u>></u>5, round tenth up
if hundreth place<5 leave tenth as is

13.89
9<u>></u>5
round up
8+1=9
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Answer:

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Step-by-step explanation:

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Answer:

4.5 ft

Step-by-step explanation:

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