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oksian1 [2.3K]
2 years ago
13

A family is relocating from St. Louis, Missouri, to California. Due to an increasing inventory of houses in St. Louis, it is tak

ing longer than before to sell a house. The wife is concerned and wants to know when it is optimal to put their house on the market. Her realtor friend informs them that the last 18 houses that sold in their neighborhood took an average time of 100 days to sell. The realtor also tells them that based on her prior experience, the population standard deviation is 20 days. (You may find it useful to reference the z table.)
a. What assumption regarding the population is necessary for making an interval estimate for the population mean?

multiple choice
Assume that the central limit theorem applies.
Assume that the population has a normal distribution.


b. Construct the 99% confidence interval for the mean sale time for all homes in the neighborhood. (Round final answer to 2 decimal places.)
Mathematics
1 answer:
Naily [24]2 years ago
6 0

The 99% Confidence interval for the mean sale time for all homes in the neighborhood is:87.857, 112.143.

<h3>Confidence interval</h3>

a. The assumption is: Assume that the population has a normal distribution.

The CI  is exact for the normal populations and for small samples the z-interval method should be used in a situation where the variable is normally distributed.

b. Confidence interval:

CI=Sample mean±z-score×Standard deviation/√Size of the sample

CI=100-2.576×20/√18, 100+2.576×20/√18

CI=100-12.143, 100+12.143

CI=87.857, 112.143

Therefore the 99% Confidence interval is 87.857, 112.143.

Learn more about Confidence interval here:brainly.com/question/15712887

#SPJ1

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K=m-n÷y (make y the subject)​
Mkey [24]

Answer:

y = \frac{n}{K - m}

Step-by-step explanation:

When doing problems like these, you should go through the process like using PEMDAS:

P - Parenthesis ()

E - Exponents x^{2}

M - Multiply x

D - Division ÷

A - Addition +

S - Subtraction -

1) Since there aren't any Parentheses, or exponents, we should then check for any use of Multiplication.

As shown, there are no shown methods of multiplying.

BUT there is Division, so we will do the opposite of division, which is multiplication.

K = m - n ÷ y

y(K = m - n ÷ y)y

^ Trying to multiply 'y' onto both sides, because when you do something to one side, you do to the other. ^

'y' then cancels out on one side, so you will be left with:

= m - n

But on the other side you will have:

Ky

So your problem will look like:

Ky = m - n

2) Since we are trying to get 'y' by itself, instead of multiplying now, we will be dividing, because:

K(y) = Ky  or you can also say K x y = Ky

Back to the problem, we will now divide 'K' to both sides, as stated before:

What you do to one side, you do to the other:

\frac{Ky}{K} = \frac{m - n}{K}

'K' will cancel out on one side:

\frac{Ky}{K} = y

Leaving you with:

'y'

While the other side, will be left as:

\frac{m - n}{K}

So your final answer will be:

y=\frac{m - n}{K}

7 0
3 years ago
I need help can someone tell me if this is right?
Anton [14]

Answer:

nope. sorry man the answer for 864 - 45 = 819

Step-by-step explanation:

5 0
3 years ago
Reorganize the topic and the answer.
wel
Which u need help on ?
7 0
3 years ago
Read 2 more answers
Last question, please help a friend out haha thanks :D
hjlf
 Ax + By = C

3x + 2y = 12

A=3, B = 2 and C = 12
4 0
3 years ago
Determine if the graph is a function then state the domain and range.
nignag [31]
<h3><u>Explanation</u></h3>

A function is a set of relation that doesn't have repetitive domain. If we want to know if a graph is function or not, we have to do the line test.

<u>Line</u><u> </u><u>Test</u>

  1. Draw a vertical line. Make sure that a line passes through a graph.
  2. See if a line intercepts a graph more than one point or just only one.

<u>Result</u>

If a line intercepts a graph more than one point, it is not a function.

However, if a line only intercepts a graph just one point, it is indeed a function.

The given graph from the question is a function because it passes line test.

<u>Domain</u><u> </u><u>and</u><u> </u><u>Range</u>

Domain is the set of all x-values, meaning we only focus on x-axis or x-value only.

Range is the set of all y-values. We only focus on y-value or y-axis for Range.

<u>Determine</u><u> </u><u>Domain</u><u> </u><u>from</u><u> </u><u>Graph</u>

We can simply say that the domain is from starting domain or x-coordinate point to end x-coordinate point. For example, if a graph starts at x = -4 and ends at x = 2, we can say that - 4<=x=2.

<u>Determine</u><u> </u><u>Range</u><u> </u><u>from</u><u> </u><u>Graph</u>

Similar to Domain except Range starts from the minimum value or point to the maximum point or value. For example if a graph starts at min point = 6 and max point = 9. We can say that 6<=y<=9.

From the graph, the domain starts from negative infinity to positive infinity. Meaning that x can be any numbers. Hence, the domain is set of all real numbers. For range, the minimum value is 0 and max value is positive infinity. Therefore we write y>=0.

<h3><u>Answer</u></h3>

<u>\begin{cases} x \in  \mathbb{R} \\ y \geqslant 0 \end{cases}</u>

<u>Domain</u><u> </u><u>is</u><u> </u><u>set</u><u> </u><u>of</u><u> </u><u>all</u><u> </u><u>real</u><u> </u><u>numbers</u><u>.</u>

<u>Range</u><u> </u><u>is</u><u> </u><u>greater</u><u> </u><u>or</u><u> </u><u>equal</u><u> </u><u>to</u><u> </u><u>0</u><u>.</u>

8 0
3 years ago
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