20/6 because 20 x 3 = 6 x 10 = 60. 309 is equivalent to 10/3 because 30 x 3 = 9 x 10 = 90.
40/12 is equivalent to 10/3 because 40 x 3 = 12 x 10 = 120.
Given that t<span>he
desired percentage of sio2 in a certain type of aluminous cement is
5.5. to test whether the true average percentage is 5.5 for a particular
production facility, 16 independently obtained samples are analyzed.
suppose that the percentage of sio2 in a sample is normally distributed
with σ = 0.32 and that

.
</span>
<span>To investigate whether this indicate conclusively that the true average
percentage differs from 5.5.
Part A:
From the question, it is claimed that </span><span>t<span>he
desired average percentage of sio2 in a certain type of aluminous cement is
5.5</span></span> and we want to test whether the information from the random sample <span>indicate conclusively that the true average
percentage differs from 5.5.
Therefore, the null hypothesis and the alternative hypothesis is given by:

Part B:
The test statistics is given by:

Part C:
The p-value is given by

Part D:
Because the p-value is less than the significant level α, we reject the null hypothesis and conclude that "</span><span>There is sufficient evidence
to conclude that the true average percentage differs from the
desired percentage."
Part E:
</span>If the true average percentage is μ = 5.6 and a level α = 0.01 test based on n =
16 is used, what is the probability of detecting this departure
from H0? (Round your answer to four decimal
places.)
The probability of detecting the departure
from

is given by


Part F:
What value of n is required to satisfy
α = 0.01 and β(5.6) = 0.01? (Round your answer up
to the next whole number.)
The value of n is required to satisfy
α = 0.01 and β(5.6) = 0.01 is given by
y=3/2x + 7/2
OR
y=3/2x + 3.5
first, write the equation: 2y-3x=7
When solving for y, you want to get the y by itself on one side of the equation. Start by adding 3x to both sides. it should look like:
2y = 3x + 7
Next, divide both sides by 2 to get the y by itself. now you have:
y= 3/2x + 7/2
there you have it!! however, if you want the y intercept (7/2) in decimal form, then it’s:
y=3/2x + 3.5
hope this helped!