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lawyer [7]
3 years ago
9

Graph the function y = (x – 3)2 + 2 -

Mathematics
1 answer:
STatiana [176]3 years ago
8 0

Answer:

zoom in

Step-by-step explanation:

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According to a study conducted in one​ city, 25​% of adults in the city have credit card debts of more than​ $2000. A simple ran
Anvisha [2.4K]

Answer:

The sampling distribution of \hat p is <em>N</em> (0.25, 0.0354²).

Step-by-step explanation:

According to the Central limit theorem, if from an unknown population large samples of sizes <em>n</em> > 30, are selected and the sample proportion for each sample is computed then the sampling distribution of sample proportion follows a Normal distribution.

The mean of this sampling distribution of sample proportion is:

 \mu_{\hat p}=p

The standard deviation of this sampling distribution of sample proportion is:

 \sigma_{\hat p}=\sqrt{\frac{p(1-p)}{n}}

Let <em>p</em> = proportion of adults in the city having credit card debts of more than​ $2000.

It is provided that the proportion of adults in the city having credit card debts of more than​ $2000 is, <em>p</em> = 0.25.

A random sample of size <em>n</em> = 150 is selected from the city.

Since <em>n</em> = 150 > 30 the Central limit theorem can be used to approximate the distribution of <em>p</em> by the Normal distribution.

The mean is:

\mu_{\hat p}=p=0.25

The standard deviation is:

\sigma_{\hat p}=\sqrt{\frac{p(1-p)}{n}}=\sqrt{\frac{0.25(1-0.25)}{150}}=0.0354

Thus, the sampling distribution of \hat p is <em>N</em> (0.25, 0.0354²).

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