A log is 16m long, correct to the nearest metre. It has to be cut into fence posts which must be 70cm long, correct to the neare
1 answer:
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Answer:
For this case the 95% confidence interval is given (63.5 , 74.4) and we want to conclude about the result. For this case we can say that the true mean of heights for male students would be between 63.5 and 74.4. And the best answer would be:
b. The doctor can be 95% confident that the mean height of male students at the college is between 63.5 inches and 74.4 inches.
Step-by-step explanation:
Notation
represent the sample mean for the sample
population mean (variable of interest)
s represent the sample standard deviation
n represent the sample size
Solution to the problem
The confidence interval for the mean is given by the following formula:
(1)
In order to calculate the mean and the sample deviation we can use the following formulas:
(2)
(3)
In order to calculate the critical value we need to find first the degrees of freedom, given by:
For this case the 95% confidence interval is given (63.5 , 74.4) and we want to conclude about the result. For this case we can say that the true mean of heights for male students would be between 63.5 and 74.4. And the best answer would be:
b. The doctor can be 95% confident that the mean height of male students at the college is between 63.5 inches and 74.4 inches.
Answer:
Volume=355 cm³
Step-by-step explanation:
I assume it should be 10 cm, not 10 m. If it is 10 m, everything will have to be adjusted.
Circumference = 2r
10=2r
10÷2=r
1.59=r
V=r²h
V=(1.59)(71)
v=355
Answer:
As per the statement:
Let Event A represents the probability that a vehicle is white and Event B represents the probability that it is a pick up truck .
then;
and
It is also given that:
The Probability that it is a white pick up truck is 0.06.
⇒ where
represents that it is white pick up truck.
We have to find the the probability that the vehicle is white {given that the vehicle is a pickup truck}
We use the formula:
where
represents that the pick up truck vehicle is white.
Substitute the given values we get;
Therefore, the probability that the vehicle is white, given that the vehicle is a pickup truck is 0.4