Find the area of EBCD using (a) and (b).

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

16 factory workers made 40 pieces in a certain amount of time. How many workers are needed to make (1) 20, (2)25 and (3)100 piec

lorasvet [3.4K]

1. 40 units___16 workers

20 units___x= 8 workers

(20*16)/40=8

2. 40 units___16 workers

25 units___x= 10 workers

(25*16)/40=10

3. 40 units___16 workers

100 units___x= 40 workers

(100*16)/40=40

7 0

3 years ago

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What is another way to write the expression t. (14--5) ?

melomori [17]

Answer: Second option.

Step-by-step explanation:

It is important to remember the Distributive Property in order to solve this exercise.

The Distributive property states that:

$a(b+c)=ab+ac\\\\\\a(b-c)=ab-ac$

In this case you have the following expression provided in the exercise:

$t(14-5)$

Then, in order to write this expression in another way, you can apply the Distributive property. Multiply each number inside the parentheses by "t".

Applying this procedure, you get:

$t(14-5)=(t14)-(t5)$

Notice that this expression matches with the one shown in the the second option.

8 0

3 years ago

Can someone please HELP! FOR BRAINLIEST!

RoseWind [281]

Answer:

1st pic:

step 2.

2nd pic:

Rene should add, not multiply 2 volumes.

The correct answer is 48+216 =264

3rd pic:

a, for blue prism: V = Area of base x Height = 48 x a =720

=> a = 720/48 = 15

b, for orange prism: V = Area of base x Height = (12xb)/2 x 15 =720

=> b =(720x2)/(15x12)= 8

8 0

3 years ago

A train traveled 399 miles in 7 hours. Find the trains speed.

Andrews [41]

Answer:

57 mph

Step-by-step explanation:

were tryin to find its speed in the terms of mph which is miles per hour, so we need to find out how many miles it goes in a hour, so we divide 399 mph by 7 hours to get 57 mph.

8 0

3 years ago

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