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katovenus [111]
1 year ago
5

Which example would be likely to give a valid conclusion?

Mathematics
1 answer:
alukav5142 [94]1 year ago
7 0

Given: Different statement

To Determine: Which of the statement would give a valid conclusion

Solution

Please note that the statement must be a true representation of the population

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X = -6/29 is the correct answer
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3 years ago
Read 2 more answers
A counselor at a community college claims that the mean GPA for students who have transferred to State University is more than 3
Lena [83]

Answer:

t=\frac{3.25-3.1}{\frac{0.3}{\sqrt{36}}}=3  

If we compare the p value and the significance level for example \alpha=1-0.99=0.01 we see that p_v so we can conclude that we have enough evidence to reject the null hypothesis.

And the best conclusion would be:

a) Yes. The counselor's claim is valid

Because we reject the null hypothesis in favor to the alternative hypothesis.

Step-by-step explanation:

Data given and notation  

\bar X=3.25 represent the sample mean

s=0.3 represent the sample standard deviation

n=36 sample size  

\mu_o =3.1 represent the value that we want to test  

\alpha represent the significance level for the hypothesis test.  

t would represent the statistic (variable of interest)  

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

State the null and alternative hypotheses.  

We need to conduct a hypothesis in order to check if the mean is more than 3.1, the system of hypothesis would be:  

Null hypothesis:\mu \leq 3.1  

Alternative hypothesis:\mu > 3.1  

If we analyze the size for the sample is < 30 and we don't know the population deviation so is better apply a 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".  

Calculate the statistic  

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

t=\frac{3.25-3.1}{\frac{0.3}{\sqrt{36}}}=3  

P-value  

The first step is calculate the degrees of freedom, on this case:  

df=n-1=36-1=35  

Since is a one right tailed test the p value would be:  

p_v =P(t_{(35)}>3)=0.00247  

Conclusion  

If we compare the p value and the significance level for example \alpha=1-0.99=0.01 we see that p_v so we can conclude that we have enough evidence to reject the null hypothesis.

And the best conclusion would be:

a) Yes. The counselor's claim is valid

Because we reject the null hypothesis in favor to the alternative hypothesis.

5 0
3 years ago
Consider triangle abc what is the value of y in the triangle
Yakvenalex [24]

Answer:

y = 50

Step-by-step explanation:

All triangle angles add up to 180 degrees.

To set this equation up, you need to add everything given in the triangle and set it equal to 180:

y + y + 80 = 180

<em><u>Add like terms:</u></em>

2y + 80 = 180

<u><em>Subtract 80 from both sides:</em></u>

2y + 80 = 180

     - 80   - 80

___________

2y = 100

<u><em>Divide both sides by 2:</em></u>

y = 50

<u><em>If you're unsure, you can plug in the 50 for y:</em></u>

y + y + 80 = 180

50 + 50 + 80 = 180

100 + 80 = 180

180 = 180

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3 years ago
What is the equation of a line that is perpendicular to the line y=3x-6 and passes through the point (15,5)?
Goshia [24]

the fouth option is correct ans....

3 0
3 years ago
What are the solutions to x2 + x - 5≤0
Juliette [100K]

I have no idea what that x is doing, so imma take it out.

2+x-5≤0

-3+x≤0

+3     +3

x≤3

---

hope it helps

8 0
3 years ago
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