A manufacturer of chocolate chips would like to know whether its bag filling machine works correctly at the 430 gram setting. It
1 answer:
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Answer:
The ballonist is at a height of 3579.91 ft above the ground at 3:30pm.
Step-by-step explanation:
Let's call:
h the height of the ballonist above the ground,
a the distance between the two observers,
the horizontal distance between the first observer and the ballonist
the horizontal distance between the second observer and the ballonist
and
the angles of elevation meassured by each observer
S the area of the triangle formed with the observers and the ballonist
So, the area of a triangle is the length of its base times its height.
(equation 1)
but we can divide the triangle in two right triangles using the height line. So the total area will be equal to the addition of each individual area.
(equation 2)
But we can write in terms of
, like this:
And for will be the same:
Replacing in the equation 2:
And replacing in the equation 1:
So, we can replace all the known data in the last equation:
Then, the ballonist is at a height of 3579.91 ft above the ground at 3:30pm.
Answer:
The value of the test statistic is t=1.12.
Step-by-step explanation:
This is a hypothesis test for the difference between populations means.
The claim is that the mean amount of time required to reach a customer service representative significantly differs between the two hotels.
Then, the null and alternative hypothesis are:
The sample 1, of size n1=20 has a mean of 2.65 and a standard deviation of √2.952=1.72.
The sample 2, of size n2=20 has a mean of 2.01 and a standard deviation of √2.952=1.89.
The difference between sample means is Md=0.64.
The estimated standard error of the difference between means is computed using the formula:
Then, we can calculate the t-statistic as: