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3 years ago

Match each concept with its key characteristic.

Mathematics

1 answer:

Crank3 years ago

6 0

1. It is the subset of a group - Group sample.

2. It equally favors all members of a group sample - Random sample.

3. It collects data on members of a group - Survey.

4. It does not equally favor all members of a group - Biased sample.

5. It includes all members of a group - Population.

6. It analyzes data collected from a group - Mean.

I have matched all concepts in accordance with statistical use, hope it helps.

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Normal approximation to Binomial :

The normal approximation is used for binomial distribution having parameters n and p as

$\mu=np\\\\ \sigma=\sqrt{np(1-p)}$

if x is the random variable then x has $N(\mu, \sigma)$ .

Given : As part of a promotion for a new type of cracker, free trial samples are offered to shoppers in a local supermarket.

The probability that a shopper will buy a packet of crackers after tasting the free sample : p=0.20.

Different shoppers can be regarded as independent trials.

if X is the number among the next 100 shoppers who buy a packet of crackers after tasting a free sample.

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$\mu=(100)(0.20)=20\\\\ \sigma=\sqrt{20(1-0.20)}=\sqrt{16}=4$

i.e. X has approximately an N(20, 4) distribution.

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