D for deprecated figures a hole of dc gg is liquid point a b c d e f g is it pick d on quiz or homework
Answer:
he probability that the sample mean deviates from the population mean = 112 by no more than 4= 0.9050
Step-by-step explanation:
mean = 112
sd = 12/sqrt(25) = 2.4
z = (x - μ)/σ
z = (116 - 112)/2.4 = 1.67
Therefore,
P(X >= 116) = P(z <= (116 - 112)/2.4)
= P(z >= 1.67)
= 1 - 0.9525
= 0.0475
z = (x - μ)/σ
z1 = (108 - 112)/2.4 = -1.67
z2 = (116 - 112)/2.4 = 1.67
Therefore, we get
P(108 <= X <= 116) = P((116 - 112)/2.4) <= z <= (116 - 112)/2.4)
= P(-1.67 <= z <= 1.67) = P(z <= 1.67) - P(z <= -1.67)
= 0.9525 - 0.0475
= 0.9050
According to the p-value, the correct option regarding the decision of the test hypothesis is:
v. No, because 0.283 > 0.05.
<h3>What are the hypothesis tested?</h3>
At the null hypothesis, we test if the proportion is still of 0.53, that is:
At the alternative hypothesis, we test if it has increased, that is:
.
<h3>What is the decision according to the p-value?</h3>
- If p-value > significance level, we do not reject the null hypothesis.
- If p-value < significance level, we reject the null hypothesis.
In this problem, the p-value is of 0.283 > 0.05, hence there is not sufficient evidence to conclude, at the significance level of a = 0.05, that the proportion of all car owners in the United States who own American-made cars has increased from what it was ten years ago, which means that option V is correct.
More can be learned about p-values at brainly.com/question/16313918
Answer:
x=106 degrees
Step-by-step explanation:
I'm going to assume that this is a circle since you didn't give it to me
So you want to add 164 and 90 together and subtract the sum by 360
360-(164+90)=106
So you want to use PEMDAS (order of operations) to solve this
- so do what's in the perenthesis first so 164+90=254
- Then you want to subtract 254 from 360 so 360-254=106
x=106 degrees
21 because you have to have at least 1 side as 3m so the other two should be 9m to have the greatest possible length
