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Gwar [14]
3 years ago
12

What if the sample size used was some unspecified value larger than 30. Describe how this change in sample size would have affec

ted the following, if at all: The standard deviation of the distribution for the sample mean rent price for a one-bedroom apartment in this large city would ___________.
Mathematics
1 answer:
arlik [135]3 years ago
6 0

Answer:

Option D is correct.

Decreases.

You might be interested in
A door delivery florist wishes to estimate the proportion of people in his city that will purchase his flowers. Suppose the true
kvv77 [185]

Answer:

99.74% probability that the sample proportion will be less than 0.1

Step-by-step explanation:

I am going to use the binomial approximation to the normal to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

E(X) = np

The standard deviation of the binomial distribution is:

\sqrt{V(X)} = \sqrt{np(1-p)}

Normal probability distribution

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

When we are approximating a binomial distribution to a normal one, we have that \mu = E(X), \sigma = \sqrt{V(X)}.

In this problem, we have that:

n = 276, p = 0.06

So

\mu = E(X) = np = 276*0.06 = 16.56

\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{276*0.06*0.94} = 3.9454

What is the probability that the sample proportion will be less than 0.1

This is the pvalue of Z when X = 0.1*276 = 27.6. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{27.6 - 16.56}{3.9454}

Z = 2.8

Z = 2.8 has a pvalue of 0.9974

99.74% probability that the sample proportion will be less than 0.1

5 0
3 years ago
In which number does the digit 4 have a value that is \dfrac{1}{10} 10 1 ​ start fraction, 1, divided by, 10, end fraction times
MrRissso [65]

Answer:

The digit 4 should be in the thousand position in the number sought;

Examples  

9.30<u>4</u>,

9.00<u>4</u>

Step-by-step explanation:

Here, we are required to consider decimal places of numbers

The digit 4 in the number 3.8463 is in the hundredth position

That is 0.04

We are asked to look for the number with a digit 4 that has the same value as \frac{1}{10} \times the digit 4 in 3.8463

That is

\frac{1}{10}  \times 0.04 = 0.004

Therefore, the digit 4 in the number sought should be in the thousandth position, that is 0.004

Example includes 9.304 or 9.004.

4 0
3 years ago
When Factor what is the least common factor of 4 and 5
Rashid [163]
The answer is 20



Hope this helps!


4 0
3 years ago
¯¯¯ , BD¯¯¯¯¯ , and CD¯¯¯¯¯ are angle bisectors of the sides of △ABC . CF=8 m and CD=17 m. What is DE ?
34kurt
I just took this quiz. Its 15

3 0
3 years ago
PLEASE HELP! URGENT!
TEA [102]

Answer:

C, I believe!

7 0
2 years ago
Read 2 more answers
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