Find the distance between the two points in simplest radical form.<br> (-1,2) and (-7, -6)

The average undergraduate cost for tuition, fees, and room and board for two-year institutions last year was $13,252. The follow

kipiarov [429]

Answer:

The p-value of the test is 0.0041 < 0.05, which means that there is sufficient evidence at the 0.05 significance level to conclude that the mean cost has increased.

Step-by-step explanation:

The average undergraduate cost for tuition, fees, and room and board for two-year institutions last year was $13,252. Test if the mean cost has increased.

At the null hypothesis, we test if the mean cost is still the same, that is:

$H_0: \mu = 13252$

At the alternative hypothesis, we test if the mean cost has increased, that is:

$H_1: \mu > 13252$

The test statistic is:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question

$t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}$

In which X is the sample mean, $\mu$ is the value tested at the null hypothesis, s is the standard deviation and n is the size of the sample.

13252 is tested at the null hypothesis:

This means that $\mu = 13252$

The following year, a random sample of 20 two-year institutions had a mean of $15,560 and a standard deviation of $3500.

This means that $n = 20, X = 15560, s = 3500$

Value of the test statistic:

$t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}$

$t = \frac{15560 - 13252}{\frac{3500}{\sqrt{20}}}$

$t = 2.95$

P-value of the test and decision:

The p-value of the test is found using a t-score calculator, with a right-tailed test, with 20-1 = 19 degrees of freedom and t = 2.95. Thus, the p-value of the test is 0.0041.

The p-value of the test is 0.0041 < 0.05, which means that there is sufficient evidence at the 0.05 significance level to conclude that the mean cost has increased.

7 0

3 years ago

To investigate if there is an association between eating red meat and the health of individuals, researchers used data from a na

Reika [66]

Answer:

a) Observational study

b) No

c) No

-Eating habits

-Age

-Health hystory

Step-by-step explanation:

Hello!

An observational study is one where the investigator has no control or intervenes on it. He just defines the variable of interest and merely collects and documents the information. These types of studies are usually made as precursors to a more formal experimental study, to have an idea of what's to be expected from the population.

In this example, the researcher merely took the information of interest from the survey that was taken. The researcher did not intervene in any way in the experiment. Because of the lack of intervention from the researcher, it is not valid to use the conclusions of this experiment to generalize to all American adults. For instance, it is not sure that the sample is representative, all people responding to the survey may be healthy or have certain eating habits. This also shows that many confusing factors are not taken into account like:

-eating habits (from eating healthy to extreme cases like being vegetarian/vegan or eating only fast food)

-age, the age range is not defined, if the sample is taken from surveys answered by people in their early 20s it will be different in both eating habits and health information as if the interviewees are in their 30s or 40s

-before health issues, there can be other health conditions that may be affecting the interviewees.

I hope it helps!

5 0

3 years ago

During the past year, Piazza's Clothiers sold a certain sweater at different prices: $42.95, $36.50, $40.75, $38.25, and $43.25.

SCORPION-xisa [38]

Range:$43.25-$36.50=$6.75 Mean:$42.95+$36.50+$40.75+$38.25+$43.25=$201.7 Median:$40.75 Mode:none The range is $6.75. The mean is $201.70. The median is $40.75. There is no mode.

3 0

3 years ago

The sum of two numbers is 51 and the difference is 27. What are the numbers?

Bezzdna [24]

Answer:

26

Step-by-step explanation:

50-20=30+1=31-7=26

5 0

2 years ago

To convert dog years to human year, count 21 human years for the first two dog years and then 4 human years per dog year for eac

Butoxors [25]

(y-2)4 + 21
You subtract two because the 21 accounts for it and then whatever you have left multiplied by 4 and added to 21 is the amount of years after conversion.

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4 0

2 years ago

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Find the distance between the two points in simplest radical form. (-1,2) and (-7, -6)