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LekaFEV [45]
3 years ago
6

What is the first 12 numbers in pi?

Mathematics
2 answers:
Akimi4 [234]3 years ago
8 0
3.14159265359 is the first 12 numbers in pi!
your welcome!
Arte-miy333 [17]3 years ago
5 0
The first 12 digits of pi are:
3.14193265359

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Answer:

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The heights of a random sample of 50 college students showed a mean of 174.5 centimeters and a standard deviation of 6.9 centime
Minchanka [31]

Answer:

Step-by-step explanation:

Hello!

For me, the first step to any statistics exercise is to determine what is the variable of interest and it's distribution.

In this example the variable is:

X: height of a college student. (cm)

There is no information about the variable distribution. To estimate the population mean you need a variable with at least a normal distribution since the mean is a parameter of it.

The option you have is to apply the Central Limit Theorem.

The central limit theorem states that if you have a population with probability function f(X;μ,δ²) from which a random sample of size n is selected. Then the distribution of the sample mean tends to the normal distribution with mean μ and variance δ²/n when the sample size tends to infinity.

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Thanks to this approximation you can use an approximation of the standard normal to calculate the confidence interval:

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1 - α: 0.98

⇒α: 0.02

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X[bar] ± Z_{1-\alpha /2} * \frac{S}{\sqrt{n} }

174.5 ± 2.334* \frac{6.9}{\sqrt{50} }

[172.22; 176.78]

With a confidence level of 98%, you'd expect that the true average height of college students will be contained in the interval [172.22; 176.78].

I hope it helps!

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