Someone please help me with this :/
1 answer:
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Answer:
1) For this case we want to check if the population deviation is less than 15( alternative hypothesis) and the system of hypothesis are:
H0:
H1:
B. H0:σ≥15, H1:σ<15
2) For this case we want to check if the population mean is at most 70000 (alternative hypothesis) and the system of hypothesis are:
H0:
H1:
C. H0:µ≥70,000, H1:µ<70,000
3) For this case we want to check if the population proportion of all internet users that make online purchases is higher than 0.5 (alternative hypothesis) and the system of hypothesis are:
H0:
H1:
D. H0:p≤0.5, H1:p>0.5
Step-by-step explanation:
Previous concepts
A hypothesis is defined as "a speculation or theory based on insufficient evidence that lends itself to further testing and experimentation. With further testing, a hypothesis can usually be proven true or false".
The null hypothesis is defined as "a hypothesis that says there is no statistical significance between the two variables in the hypothesis. It is the hypothesis that the researcher is trying to disprove".
The alternative hypothesis is "just the inverse, or opposite, of the null hypothesis. It is the hypothesis that researcher is trying to prove".
Solution to the problem
1) For this case we want to check if the population deviation is less than 15( alternative hypothesis) and the system of hypothesis are:
H0:
H1:
B. H0:σ≥15, H1:σ<15
2) For this case we want to check if the population mean is at most 70000 (alternative hypothesis) and the system of hypothesis are:
H0:
H1:
C. H0:µ≥70,000, H1:µ<70,000
3) For this case we want to check if the population proportion of all internet users that make online purchases is higher than 0.5 (alternative hypothesis) and the system of hypothesis are:
H0:
H1:
D. H0:p≤0.5, H1:p>0.5
the total area of sections 1 and 2 is 48 square units !
<u>Step-by-step explanation:</u>
Here we have , The triangle and the rectangle have the same base, b, and height, h. If the area of the triangle is 48 square units,We need to find what is the total area of sections 1 and 2 . Let's find out:
According to question , we have a triangle with same base and height as of rectangle inside a rectangle ! Following are the parameters of rectangle:
but , Area of rectangle = . Also , Area of triangle :
⇒
⇒
So , Area of rectangle = . Total area of section 1 & 2 is given by :
⇒
⇒
Therefore , the total area of sections 1 and 2 is 48 square units !