Answer:
figure 3
Step-by-step explanation:
Answer:
Explanation:
Please follow the diagram in attachment.
As we know median from vertex C to hypotenuse is CM
We are given length of CG=4
Median divide by centroid 2:1
CG:GM=2:1
Where, CG=4
ft
Length of CM=4+2= 6 ft
In
Using trigonometry ratio identities
ft
ft
ft
In
Using pythagoreous theorem
Length of AG=2/3 AN
ft
Answer:
We conclude that the machine is under filling the bags.
Step-by-step explanation:
We are given the following in the question:
Population mean, μ = 436.0 gram
Sample mean,
= 429.0 grams
Sample size, n = 40
Alpha, α = 0.05
Population standard deviation, σ = 23.0 grams
First, we design the null and the alternate hypothesis
We use one-tailed(left) z test to perform this hypothesis.
Formula:
Putting all the values, we have
Now,
Since,
We reject the null hypothesis and accept the alternate hypothesis. Thus, we conclude that the machine is under filling the bags.
Answer:
The minimum sample size required to ensure that the estimate has an error of at most 0.14 at the 95% level of confidence is n=567.
Step-by-step explanation:
We have to calculate the minimum sample size n needed to have a margin of error below 0.14.
The critical value of z for a 95% confidence interval is z=1.96.
To do that, we use the margin of error formula in function of n:

The minimum sample size to have this margin of error is n = 567.