Step-by-step explanation:
For the first cone
Height, h = 18
Radius, r = 12
Substituting
Volume of new cone formed is half of the older cone.
Volume of new cone = 0.5 x 2714.34 = 1357.17
For the cone as the height reduces to 18 radius reduces to zero.
We have
0.467h₁³ = 1357.17
h₁ = 14.29
Height of smaller cone = 14.29
Answer:
The mean is 180.
The standard error is 0.286.
Step-by-step explanation:
This question can be solved using the central limit theorem.
The Central Limit Theorem estabilishes that, for a random variable X, with mean and standard deviation
, a large sample size can be approximated to a normal distribution with mean
and standard deviation
.
In this problem, we have that:
The mean of the distribution of the sample means is the same as the mean of the population. This means that the mean is 180.
The standard deviation of the population is the square root of the population variance. So .
The standard deviation of the sampling distribution of the sample mean is .
The standard error of the sampling distribution of the sample mean is