What is the best way of choosing a sample to statistically represent a population? Why? What is a biased sample? How can biased sampling affect the statistical study of a population?

Search the Internet and give two or more real-world examples of biased sampling leading to unexpected or unfavorable outcomes. In each case, how could the sample have been improved to make a more accurate inference about the population?

Answer: In random sampling, the whole population should have an equal chance of being chosen.

Step-by-step explanation:

In a simple random sample, every member of the population has an equal chance of being selected.

Your sampling frame should include the whole population. To conduct this type of sampling, you can use tools like random number generators or other techniques that are based entirely on chance.

Biased sample

A sample is biased if individuals or groups from the population are not represented in the sample.

In statistics, sampling bias is a bias in which a sample is collected in such a way that some members of the intended population have a lower or higher sampling probability than others.

Affects

It affects the internal validity of an analysis by leading to inaccurate estimation of relationships between variables. It also can affect the external validity of an analysis because the results from a biased sample may not generalize to the population.

Sampling is one of the procedure to get information about population. The best way to choose a sample representing a population is simple random sampling.

We do sampling so that we don't have to work on entire population of items but only on that sample in a way that we can predict information about population.

Most of the times, it isn't possible in real world to work on entire populations. Samples come out for rescue by assumptions that they will have some properties of the population pertained in them.

Thus, the sample should be taken out such that it includes data of the population as much  as it can in unbiased way so as to imitate population. (assuming that we want the sample to contain the summary of the population).

If the sampling is done from the population randomly, without any other rule, then such sampling is called simple random sampling. Items are selected in a fixed size, all randomly.

Sampling which is done by taking the main population divided in categories(called strata), then such sampling from stratas (sub-parts of the population) is called stratified sampling.

In this type of sampling, starting of the sampling is done randomly, but then rest of the samples are collected by an order. Like for example, first point is selected randomly, then all points are selected that they are equidistant from each other in the population.

The word "convenience" summarizes this sampling. It is done in a way that those values from population are sampled which are in convenience with the researcher. Like if some random picking is to be done from beads spread on the ground, then the researcher picking those beads which are closer to him.

Convenience sampling and stratified sampling are biased, as convenience sampling is leaving a good amount of population untouched, and stratified sampling is taking about sub-parts of the population.

The systematic random sampling is not good in those cases where population doesn't contain variation equally, and we might end up doing systematic sampling in that region which is biased than other regions.

The best sampling is simple random sampling, as it is randomly picking data values from the population, so is most probable to get the properties of the population(the more you're lost, the more probable you're to get to new paths). If sample size is large enough, this sampling comes out as best sampling method, in context of summarizing the information of the population, as almost all of the properties of the population is covered by values obtained during simple random sampling.

Thus, the best way to choose a sample representing a population is simple random sampling. (assuming that we want to summarize the population).

Learn more about simple random sampling here:

https://brainly.com/question/25644040

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At midnight, the temperature in a city was 5 degrees Celsius. The temperature was dropping at a steady rate of 2 degrees Celsius per hour.
Write an inequality that represents t, the number of hours past midnight, when the temperature was colder than -4 degrees Celsius. Explain or show your reasoning.

2.
Tyler is simplifying the expression 6−2x+5+4x.

Here is his work:

6−2x+5+4x

(6−2)x+(5+4)x

4x+9x

13x

His work is incorrect. Explain the error he made.

3.
Simplify the expression 6−2x+5+4x. Hint: Your final expression shoul donly have two terms.

4.
Factor to write an equivalent expression:

36a−16

5.
Expand to write an equivalent expression:

−14(−8x+12y)

6.Diego's family car holds 14 gallons of fuel. Each day the car uses 0.6 gallons of fuel. A warning light comes on when the remaining fuel is 1.5 gallons or less.

Starting from a full tank, can Diego's family drive the car for 14 days without the warning light come on?

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A drawer contains unmatched socks. There are 7 black, 4 blue, and 5 white. What is the probability that you will select a white sock, not replace it, and then draw another white sock without looking?
0.10=10%
0.098=9.8%
0.078=7.8%
0.08.=8.3%

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What is the slope of the line that goes through the points (-3, 8) and (0, 23)?


-5

-23/8

5

31/3

Which table represents values of x and y such that y = x + 4

Find the correct plugged in formula for each figure.

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List the sample space (all the possible outcomes) for selecting a letter from the word mathematics.

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Death Valley, CA was -45 in January of 1937.Danbury, CT was -37 in February of 1943. Monticello, FL was -2 in February of 1899. East Saint Louis,IL was -36 in January of 1999.
Greenville, GA was -17 in January of 1940.
Which of these states has the lowest record temperature?

If x is 100, what is the area of the cell phone's range? (the range is a circle and the units is Feet)
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What will happen? (Newton's 1st Law Egg Drop)

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An antique collectible has a value of $235 right now. It will increase in value by 9% each year. Find the value the collectible after 16 years, A.$2115 B. $1017 C.$856 D.933

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You are playing a game using the spinner below. The game requires that you spin the spinner twice.

List the sample space (all the possible outcomes) for the two spins. Use Y for yellow, R for red, B for blue and G for green.

EXAMPLE : Y,Y

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Find the area of the shaded section only in the future below.

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One year, Regina added 5 fish to her aquarium. The next year, she added 18 more fish. Which expression can be used to find the total number of fish Regina added to her aquarium those two years? A. -18 + 5 B. 18 – 5 C. -5 – 18 D. 5 + 18.

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1.) Which of the following list of side lengths could form a triangle?

10, 12, and 25
5, 6, and 12
2, 2, and 4
4, 5, and 6

2.) Which of the following sets of measures for sides doesn't form a triangle?

7, 9, 17
14, 18, 18
8, 8, 8
3, 3, 5

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