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Contact [7]
3 years ago
5

In this sampling method we believe there are significant differences between groups comprising the population. Here we assign th

e population into groups and then try to replicate those percentages present in the population in our sample. As a result we randomly select people out of each group to try and get a representative sample from each of the groups of interest. Which sampling method is this?
Mathematics
1 answer:
cestrela7 [59]3 years ago
6 0

Answer:

Proportionate Stratified Random Sampling.

Step-by-step explanation:

Sampling is the process of selecting a small group representative of population.

Stratified Random Sampling is used when population is too heterogeneous, ie too dissimilar. This method includes dividing population into various dissimilar groups [stratas] , similar within themselves. Then, sample is taken from each strata (group), making it good representative of population variety.

If sampling structure is such that - sample units are selected from each strata, in proportion to the strata's presence in population - It is called Proportionate Stratified Random Sampling.

Eg : Dividing population in gender (men, women, other) stratas & taking sample from each strata - in proportion to particular gender in population

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Nicholas sent a chain letter to his friends, asking them to forward the letter to more friends. Every 121212 weeks, the number o
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Answer:

Since the question is incomplete, see below for a fully understanding of this kind of questions.

Explanation:

The question is incomplete but you can set some assumptions and determine the function that model the situation.

The relevant data of the text are:

  • Every 12 weeks, the number of people who receive the email increases by and additional 99%

From that you can:

  • determine the growing factor
  • determine the function P, which depends of the amount of time t (weeks) and models the function
<h2 /><h2>Solution</h2>

You can build a table or write a sequence to help you to figure out what is going on:

First, you need to know the number of friens to whom NIcholas initially sent the chain letter. You must assume a number. Assuming Nicholas initially sent the chain letter to 10 frirends, this would be the table:

t (weeks)       P(t)

0                    10

12                   10 + 99% of 10 = 10 + 0.99× 10 = 10 (1.99)

24                   10(1.99)(1.99) = 10 (1.99)²   ↔ two times 12 weeks

36                   10(1.99)³                             ↔ three times 12 weeks

This is every 12 weeks the number of people who recieve the email is multiplied by 1.99.

That means that the grow factor is 1.99 every 12 weeks, and the power of the exponential function is the number of 12 weeks elapsed, which is t divided by 12: t/12

           P(t)=10(1.99)^{(t/12)}

It is important that you realize that t/12 means the number of times that 12 weeks elapse.

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