Iguel is keeping track of mileage to find out how many miles per gallon he gets in his vehicle.

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

Write the equation in standard form using integers.

disa [49]

The Answer is: 2x+3y=-15

4 0

3 years ago

A conical container can hold 120π cubic centimeters of water. The diameter of the base of the container is 12 centimeters.

nignag [31]

Answer:

A. 10cm

B. 8 times

Step-by-step explanation:

The question is on volume of a conical container

Volume of a cone= $\pi r^{2} h/3$

where r is the radius of base and h is the height of the cone

Given diameter= 12 cm, thus radius r=12/2 =6 cm

$v=\pi r^2h/3 \\120\pi =\pi *6*6*h/3\\120\pi =12\pi h\\10=h$

h=10 cm

B.

If height and diameter were doubled

New height = 2×10 =20 cm

New diameter = 2×12 = 24, r=12 cm

volume = $v=\pi r^2h/3\\v=\pi *12*12*20/3\\v=960\pi$

To find the number of times we divide new volume with the old volume

$N= 960\pi /120\pi \\\\N= 8$

8 0

3 years ago

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Which of the following scores has the better relative position ( as measured by the z score) a. A score of 53 on a test for whic

Kisachek [45]

Answer:

d. Cannot be determined with the information provided.

Step-by-step explanation:

Z-score:

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

Finding the better relative position:

The score with the better relative position is the one with a higher z-score.

To find the z-score, the mean and the standard deviation is needed, and in this question, the standard deviation is not given, and thus, the correct answer is given by option d.

3 0

3 years ago

Can someone please help me i don’t know what to do on this

Musya8 [376]

Answer:

4/5

Step-by-step explanation:

y is 5 times as big as x

When y is 4, divide it by 5 to find x

x = 4/5

3 0

2 years ago

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