To plan a budget, first prioritize expenditures. True False

Polymer composite materials have gained popularity because they have high strength to weight ratios and are relatively easy and

Brums [2.3K]

Answer:

$t=\frac{51.6-48}{\frac{1.1}{\sqrt{10}}}=10.349$

$p_v =P(t_9>10.349)=1.34x10^{-6}$

If we compare the p value and the significance level given for example $\alpha=0.05$ we see that $p_v$ so we can conclude that we reject the null hypothesis, and the the actual mean is significantly higher than 48 MPa at 5% of significance.

Step-by-step explanation:

1) Data given and notation

$\bar X=51.6$ represent the sample mean

$s=1.1$ represent the standard deviation for the sample

$n=10$ sample size

$\mu_o =48$ represent the value that we want to test

$\alpha=0.05$ 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 determine if the mean score is higher than 48, the system of hypothesis would be:

Null hypothesis: $\mu \geq 48$

Alternative hypothesis: $\mu > 48$

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

$t=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}}$ (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:

$t=\frac{51.6-48}{\frac{1.1}{\sqrt{10}}}=10.349$

Calculate the P-value

First we find the degrees of freedom:

$df=n-1=10-1=9$

Since is a one-side upper test the p value would be:

$p_v =P(t_9>10.349)=1.34x10^{-6}$

Conclusion

If we compare the p value and the significance level given for example $\alpha=0.05$ we see that $p_v$ so we can conclude that we reject the null hypothesis, and the the actual mean is significantly higher than 48 MPa at 5% of significance.

5 0

3 years ago

No link/pic just type pls

Radda [10]

Answer:

If you said its the height it would be 21

Step-by-step explanation:

The height is on the side

4 0

2 years ago

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If PQRS is a rhombus, which statements must be true? Check all that apply.

bezimeni [28]

These statements are true:

$\bold{First.} \ \overline{PS} \ is \ parallel \ to \ \overline{QR}$

This is true because of the definition of a rhombus which states that opposite sides are parallel.

$Then \ \overline{PS} \ is \ opposite \ to \ \overline{QR}$

$\bold{Second.} \ \overline{PR} \ is \ perpendicular \ to \ \overline{QS}$

This is true because the diagonals of a rhombus bisect each other at right angles.

$\bold{Third.} \ \overline{PQ}=\overline{RS}$

This is true because the four sides of a rhombus are all equals.

$\bold{Fourth.} \ \angle PQR \ is \ supplementary \ to \ \angle QPS$

This is also true. Two angles are supplementary when they add up to 180 degrees. Angles in rhombus are equal two to two. Let's name:

$\angle PQR = \alpha \ and \ \angle QPS = \beta$

Then it is true that:

$\angle PQR=\angle PSR \ and \ \angle QPS=\angle QRS$

Besides, a rhombus is a quadrilateral and it is true that the interior angles of a quadrilateral add up to 360 degrees, thus:

$2\alpha+2\beta=360 \\ \\ \therefore \boxed{\alpha+\beta = 180^\circ}$

5 0

3 years ago

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Please help with number 4 asap!!

Olenka [21]

I think the answer is 14 feet

3 0

3 years ago

working together, 9 friends picked 23 2/5 bags of apple at an orchard. they divide the bags of apple equally between them. how m

krek1111 [17]

9 friends
23 2/5 bags of apples

23 2/5 = 23.4
23.4 / 9 = 2.6

each friend may take 2 3/5 bags

6 0

2 years ago

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