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Hi!
I have attached 2 images that should help you understand :)
First, look at the edits I made to the image you posted. I separated the shape into smaller shapes so that we can find the area of each individual one.
Let's start with the rectangle.
To find the area of a rectangle, multiply the width times the height.
10 · 4 = 40
Rectangle = 40cm
Next up, the red triangles.
I have included another image showing the triangles combined into rectangles. So we can find the area of the triangles just like we would rectangles!
(let me know if you don't understand how I found the width + height of the triangles)
5 · 10 = 50
Red triangles = 50cm
And finally, the green triangles.
8 · 7 = 56
Green triangles = 56cm
Add it all together and you get...
40 + 50 + 56 = 146
The answer to the question is 146cm.
Next time you are having trouble with something like this, picture the triangles as rectangles! :)
I have attached 2 images that should help you understand :)
First, look at the edits I made to the image you posted. I separated the shape into smaller shapes so that we can find the area of each individual one.
Let's start with the rectangle.
To find the area of a rectangle, multiply the width times the height.
10 · 4 = 40
Rectangle = 40cm
Next up, the red triangles.
I have included another image showing the triangles combined into rectangles. So we can find the area of the triangles just like we would rectangles!
(let me know if you don't understand how I found the width + height of the triangles)
5 · 10 = 50
Red triangles = 50cm
And finally, the green triangles.
8 · 7 = 56
Green triangles = 56cm
Add it all together and you get...
40 + 50 + 56 = 146
The answer to the question is 146cm.
Next time you are having trouble with something like this, picture the triangles as rectangles! :)
Answer:
If we compare the p value and the significance level given we see that
so we can conclude that we have enough evidence to fail reject the null hypothesis, so we can conclude that the true mean is NOT different from 420. So the specification is satisfied.
Step-by-step explanation:
Data given and notation
represent the sample mean
represent the sample standard deviation
sample size
represent the value that we want to test
represent the significance level for the hypothesis test.
t would represent the statistic (variable of interest)
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 true mean is different from 420 or not, the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
If we analyze the size for the sample is > 30 but 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:
(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:
P-value
The first step is calculate the degrees of freedom, on this case:
Since is a two sided test the p value would be:
Conclusion
If we compare the p value and the significance level given we see that
so we can conclude that we have enough evidence to fail reject the null hypothesis, so we can conclude that the true mean is NOT different from 420. So the specification is satisfied.