Please help picture is there

In Hamilton County, Ohio the mean number of days needed to sell a home is days (Cincinnati Multiple Listing Service, April, 2012

Diano4ka-milaya [45]

Answer:

$t=\frac{80-86}{\frac{20}{\sqrt{40}}}=-1.8974$

$p_v =2*P(t_{39}$

If we compare the p value with a significance level given $\alpha=0.05$ we see that $p_v>\alpha$ so we can conclude that we FAIL to reject the null hypothesis, so there is not enough evidence to conclude that the mean for the data is significantly different from 86 days.

Step-by-step explanation:

Assuming the following problem: "In Hamilton County, Ohio the mean number of days needed to sell a home is 86 days (Cincinnati Multiple Listing Service, April, 2012). Data for the sale 40 of homes in a nearby county showed a sample mean of 80 days with a sample standard deviation of 20 days. Conduct a hypotheses test to determine whether the mean number of days until a home is sold is different than the Hamilton county mean of 86 days in the nearby county. "

1) Data given and notation

$\bar X=80$ represent the sample mean

$s=20$ represent the sample standard deviation

$n=40$ sample size

$\mu_o =86$ represent the value that we want to test

$\alpha=0.05$ represent the significance level for the hypothesis test.

z would represent the statistic (variable of interest)

$p_v$ represent the p value for the test (variable of interest)

2) State the null and alternative hypotheses.

We need to conduct a hypothesis in order to determine if the mean is different from 86, the system of hypothesis would be:

Null hypothesis: $\mu = 86$

Alternative hypothesis: $\mu \neq 86$

We don't know the population deviation, so for this case we can use the t test to compare the actual mean to the reference value, and the statistic is given by:

$t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}$ (1)

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".

3) Calculate the statistic

We can replace in formula (1) the info given like this:

$t=\frac{80-86}{\frac{20}{\sqrt{40}}}=-1.8974$

4) Calculate the P-value

First we need to find the degrees of freedom given by:

$df=n-1=40-1=39$

Since is a two tailed test the p value would be:

$p_v =2*P(t_{39}$

In Excel we can use the following formula to find the p value "=2*T.DIST(-1.8974,39,TRUE)"

5) Conclusion

If we compare the p value with a significance level given $\alpha=0.05$ we see that $p_v>\alpha$ so we can conclude that we FAIL to reject the null hypothesis, so there is not enough evidence to conclude that the mean for the data is significantly different from 86 days.

7 0

3 years ago

Subtract. 5/23 - 4/23 (Type an integer or fraction.)

ad-work [718]

Answer:

1/23

Step-by-step explanation:

5/23 - 4/23 would be 1/23. When the denominators of the fractions are the same, you can just subtract the numerators.

7 0

3 years ago

To make a green paint, Michelle mixes 4 cans of

Elena-2011 [213]

Answer: 16 cans

Step-by-step explanation: Think of it being in batches, you can make 4 batches of green paint with 24 cans of yellow paint, so you would need 16 cans of blue paint to get the same shade of green if you mix the 24 cans and 16 can's together at once

6 0

2 years ago

Given the complex number z_1=3\big(\cos \frac{14\pi}{15} +i\sin \frac{14\pi}{15}\big)z 1 =3(cos 15 14π +isin 15 14π ) and

mars1129 [50]

The product of z₁ = 3 · (cos 14π/15 + i · sin 14π/15) and z₂ = 3 √3 · (cos 11π/15 + i · sin 11π/15) in rectangular form with fully simplified expressions is z₁ · z₂ = 7.794 - i · 13.5.

<h3>How to determine the product of two complex numbers</h3>

Let be two numbers of the form z = a + i · b, where i = √-1, the product of two of these numbers in rectangular form is described by the following formula:

z₁ · z₂ = (a + i · b) · (c + i · d) = (a · c - b · d) + i · (a · d + b · c) (1)

If we know that a = 3 · cos 14π/15, b = 3 · sin 14π/15, c = 3√3 · cos 11π/15, d = 3√3 · sin 11π/15, then the result in rectangular form is:

z₁ · z₂ = 7.794 - i · 13.5

The product of z₁ = 3 · (cos 14π/15 + i · sin 14π/15) and z₂ = 3 √3 · (cos 11π/15 + i · sin 11π/15) in rectangular form with fully simplified expressions is z₁ · z₂ = 7.794 - i · 13.5. $\blacksquare$

<h3>Remark</h3>

The statement presents typing mistakes and is poorly formatted, the correct form is introduced below:

Given the complex number z₁ = 3 · (cos 14π/15 + i · sin 14π/15) and z₂ = 3 √3 · (cos 11π/15 + i · sin 11π/15), express the result of z₁ · z₂ in rectangular form with fully simplified fractions and radicals.

To learn more on complex numbers, we kindly invite to check this verified question: brainly.com/question/10251853

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2 years ago

A scientist has discovered an organism that replicates at a rate of five per hour and lives for one week. Each replicated organi

bezimeni [28]

A)2,801

write an equation for the translation of y= [x]. 16.5 units

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3 years ago