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Ksju [112]
3 years ago
12

You wish to compare the prices of apartments in two neighboring towns. You take a simple random sample of 12 apartments in town

A and calculate the average price of these apartments. You repeat this for 15 apartments in town B. Let \mu_1μ 1 represent the true average price of apartments in town A and \mu_2μ 2 the average price in town B.Suppose we were to use the two-sample t test and found that the t statistic for comparing the mean prices is 2.1. What can we say about the value of the p-value?
Mathematics
1 answer:
Rom4ik [11]3 years ago
7 0

Answer:

The value of P-value is 0.0472.

Step-by-step explanation:

We are given that you take a simple random sample of 12 apartments in town A and calculate the average price of these apartments. You repeat this for 15 apartments in town B.

Let \mu_1 = <u><em>true average price of apartments in town A</em></u>

\mu_2 = <u><em>true average price of apartments in town B</em></u>

So, Null Hypothesis, H_0 : \mu_1=\mu_2

Alternate Hypothesis, H_A : \mu_1\neq \mu_2  

The test statistics that have been used here is <u>two-sample t-test statistics</u>, i.e;

The test statistics given to us is 2.1

Now, the P-value of the test statistics is given by the following formula;

                P-value = P( t__n__1+_n_2-_2 > 2.1)

                             = P( t_2_5 > 2.1) = 0.0236

In two-tailed test, P-value is calculated as = 2 \times 0.0236 = <u>0.0472</u>

Hence, the value of the p-value is 0.0472.

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Answer:

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Step-by-step explanation:

In order to find this, create a proportional equality in which the top of the equation is the number of orange picks and the bottom is the number of green picks.

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Now we cross multiply to find out the total number of picks.

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What is the equation of the line passing through the points (–25, 50) and (25, 50) in slope-intercept form?
allochka39001 [22]

The equation of the line passing through the points (-25, 50) and (25, 50) in slope-intercept form is <u>y = 50</u>. Hence, <u>4th option</u> is the right choice.

The slope-intercept form of a line is written as y = mx + b, where m is the slope of the line, and b is the y-intercept.

The slope of a line passing through the points (x₁, y₁) and (x₂, y₂) can be calculated using the formula, slope (m) = (y₂ - y₁)/(x₂ - x₁).

Therefore, slope of the line passing through the points (-25, 50) and (25, 50) can be calculated as m = (50 - 50)/(25 - (-25)) = 0/(-50) = 0.

We can find the equation of the line using the point-slope formula, according to which, a line having a slope m and passing through the point (x₁, y₁) can be written as y - y₁ = m(x - x₁).

Therefore, the equation of the given line can be written as:

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Therefore, the equation of the line passing through the points (-25, 50) and (25, 50) in slope-intercept form is <u>y = 50</u>. Hence, <u>4th option</u> is the right choice.

Learn more about the equation of a line at

brainly.com/question/18831322

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2 years ago
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Answer:

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Step-by-step explanation:

The formula for the sequence is (n+3)!/ (n+4)!

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The first terms uses n=2

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The first terms uses n=4

a4 = (4+3)!/ (4+4)! = 7!/8! = (7*6*5*4*3*2*1)/(8*7*6*5*4*3*2*1) = 1/8

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Answer:

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Step-by-step explanation:

   

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