Answer:
Test statistic = -2.25
P-value = 0.0199
Step-by-step explanation:
We are given the following in the question:
Population mean, μ = 450 gram
Sample mean,
= 441 grams
Sample size, n = 16
Alpha, α = 0.05
Sample variance = 256

First, we design the null and the alternate hypothesis
We use one-tailed t test to perform this hypothesis.
Formula:
Putting all the values, we have
Now,
Degree of freedom =

We can calculate the p-value from the table as:
P-value = 0.0199
Conclusion:
Since the p-value is smaller than the significance level we fail to accept the null hypothesis and reject it.
Thus, there is enough evidence to support the claim that the machine is under filling the bags .
Only A
And only when x = 1
Nothing else works.
Answer:
8 + 7i
Step-by-step explanation:
Change the sign of the imaginary part.
The conjugate of 8 - 7i is 8 + 7i.
Answer:
2 and 9
Step-by-step explanation:
Hey there! I'm happy to help!
The distributive property is when you multiply a number outside the parentheses by each term inside. We see this demonstrated in answer D) 6n-6=6(n-1).
6(n-1) can be undistributed. 6(n)=6n and 6(-1)=-6, giving us 6n-6, which is still equal to 6(n-1).
Have a wonderful day! :D