The sum of two numbers is 57 and the difference is 13 what are the numbers

You have been given data about gas prices in 15 states. Comparing the two data sets below, what does the larger mean and median

Oksanka [162]

Comparing the two data sets shown below

<h3>What is standard deviation and variance?</h3>

Variance is the average squared deviations from the mean, while standard deviation is the square root of this number.

Both the mean and the median can be used to describe where the “center” of a dataset is located.

So, the mean of data in 2022 is more than mean of data in 2018.

It’s best to use the mean when the distribution of the data values is symmetrical and there are no clear outliers.

As the variance of 2022 more than in variance in 2018.

A high variance indicates that the data points are very spread out from the mean, and from one another.

As the standard deviation of 2022 more than in standard deviation in 2018.

The high standard deviation indicates data are more spread out.

The bigger the range, the more spread out the data.

Learn more about standard deviation, variance here:

brainly.com/question/17084031

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6 0

1 year ago

I really need help with this Question don't know how to do it

suter [353]

Tan(12) = 40/d
d = 40/tan(12)
d = 188.19m

3 0

3 years ago

Why is a cube root of a negative always negative?

ololo11 [35]

Because if you multiply a negative by a negative, it is positive, right? So, in this instance it is cubed, which means that the number is multiplied by itself 3 times, so the positive is multiplied by the negative, which makes it negative

5 0

3 years ago

What is the volume of a sphere, to the nearest cubic inch, if the radius equals 3 inches? use Ï€ = 3.14.

RUDIKE [14]

The volume of the sphere is 113.04 inches³.

We should know about the volume of sphere formula, which is given by:

V = 4/3 x π x r³

V is the volume of the sphere and r is the radius of the sphere.

According to the question, the parameter of the sphere is given by :

r = 3 inches

π = 3.14

By substituting the parameter of radius, we can calculate

V = 4/3 x π x r³

V = 4/3 x 3.14 x 3³

V = 4.186 x 27

V = 113.04

Hence, the volume of the sphere is 113.04 inches³.

Find out more volume of sphere at: brainly.com/question/20394302

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7 0

2 years ago

A researcher would like to determine whether a new tax on cigarettes has had any effect on people’s behavior. During the year be

sammy [17]

Answer:

a) $p_v =2*P(z$

If we compare the p value and the significance level given $\alpha=0.05$ we see that $p_v>\alpha$ so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, so we can conclude that the population mean is NOT significant different from 410 at 5% of significance.

b) $p_v =2*P(z$

If we compare the p value and the significance level given $\alpha=0.05$ we see that $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, so we can conclude that the population mean is significant different from 410 at 5% of significance.

c) The expplanation why we have different outcomes is because for part a we use a higher standard error compared to part b. So we have enough evidence on part b to reject the null hypothesis that we no have significant difference from 410.

Step-by-step explanation:

1) Part a

Previous concepts and data given

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

$\bar X=386$ represent the sample mean

$\sigma=60$ represent the population standard deviation

n=9 represent the sample selected

$\alpha=0.05$ significance level

State the null and alternative hypotheses.

We need to conduct a hypothesis in order to check if we have significant difference on the mean, the system of hypothesis would be:

Null hypothesis: $\mu = 410$

Alternative hypothesis: $\mu \neq 410$

If we analyze the size for the sample is < 30 but we know the population deviation so is better apply a z test to compare the actual mean to the reference value, and the statistic is given by:

$z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}}$ (1)

z-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".

Calculate the statistic

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

$z=\frac{386-410}{\frac{60}{\sqrt{9}}}=-1.2$

P-value

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

$p_v =2*P(z$

Conclusion

If we compare the p value and the significance level given $\alpha=0.05$ we see that $p_v>\alpha$ so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, so we can conclude that the population mean is NOT significant different from 410 at 5% of significance.

2) Part b

State the null and alternative hypotheses.

The system of hypothesis not changes:

Null hypothesis: $\mu = 410$

Alternative hypothesis: $\mu \neq 410$

Same statistic:

$z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}}$ (1)

Calculate the statistic

But now the population deviation changes $\sigma=30$ . We can replace in formula (1) the info given like this:

$z=\frac{386-410}{\frac{30}{\sqrt{9}}}=-2.4$

P-value

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

$p_v =2*P(z$

Conclusion

If we compare the p value and the significance level given $\alpha=0.05$ we see that $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, so we can conclude that the population mean is significant different from 410 at 5% of significance.

7 0

3 years ago