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inn [45]
3 years ago
10

Elijah and Tyler, two high school juniors, conducted a survey on 13 students at their school, asking the students whether they w

ould like the school to offer an after-school art program, counted the number of "yes" answers, and recorded the sample proportion. 12 out of the 13 students responded "yes." They repeated this 100 times and built a distribution of sample means.
(a) What is this distribution called?
(b) Would you expect the shape of this distribution to be symmetric, right skewed, or left skewed?
Explain your reasoning.
(c) Calculate the variability of this distribution and state the appropriate term used to refer to
this value.
(d) Suppose that the students were able to recruit a few more friends to help them with sampling,
and are now able to collect data from random samples of 25 students. Once again, they
record the number of \yes" answers, and record the sample proportion, and repeat this 100
times to build a new distribution of sample proportions. How will the variability of this new
distribution compare to the variability of the original distribution?
Mathematics
1 answer:
schepotkina [342]3 years ago
5 0

Answer:

a. The sampling distribution of the sample proportion

b. Left skewed

c. Standard Error (S.E) = 0.0739

d. Decrease

Step-by-step explanation:

a. Given x = 12, n = 13 and p = 12/13

The distribution of sample proportion is called the sampling distribution of the sample proportion.

b. The given sample proportion is 12 out of 13. If this is a typical sample proportion, then most sample proportions will lie about 12, but there could be a few unusually low sample proportions and thus the distribution could be skewed left.

c. The variability of the sampling distribution of the sample proportion is measured by the standard error of the proportion which is the square root of the product of the proportion p and 1 - p divided by the sample size n.

S.E = √((p(1 - p))/n)

= √((12/13(1 - 12/13))/13)

= √((12/13 * 1/13)/13)

= 0.073905344867

= 0.0739

d. Given n = 25, as the sample size increases, the standard error of the proportion will decrease and the variability in the sample proportion will decrease too.

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You are purchasing a house 12 years from now. the estimated purchase price is $171,600.00. you want to make a 20% down payment.
diamong [38]
Answer:
$238.33

Explanation:
Assume that the amount you need to save per month is x.

You will be saving monthly for 12 years. This means that the amount you will save after 12 years is:
amount saved after 12 years = 12 * 12 * x = 144x

Now, you need to save 20% of $<span>171,600.00. We will first need to calculate this value.
20% of $</span>171,600.00 = 0.2 * <span>171,600.00 = $34320

Now, to know your monthly savings, equate the total amount saved in 12 years with the amount that needs to be saved and solve for x as follows:
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x = 34320 / 144
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This means that, to meet your goal, you need to save $238.33 monthly for 12 years.

Hope this helps :)</span>
8 0
3 years ago
5m&lt;6m+6 pls help me ​
torisob [31]

Let's solve your inequality step-by-step.

5m<6m+6

Step 1: Subtract 6m from both sides.

5m−6m<6m+6−6m

−m<6

Step 2: Divide both sides by -1.

−m / −1 < 6 / −1

m>−6

Answer:

m>−6

4 0
3 years ago
If you are dealt 4 cards from a shuffled deck of 52​ cards, find the probability that all 4 cards are diamonds
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4 0
3 years ago
Which of the following statements is always true?
Bezzdna [24]

Answer:

B

Step-by-step explanation:

hope it helps <3333

You look beautiful

7 0
2 years ago
How many tenths make up 4 wholes?<br>​
NikAS [45]

Divide 4 by 1/10.

So, 4 ÷ 1/10 becomes 4 x 10/1.

We know that 4 x 10/1 = 40/1 = 40.

Did you follow?

6 0
3 years ago
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