How would you find out how many sixth through eighth grade students are interested in joining a running club? Explain how to cho
1 answer:
You might be interested in
Answer:
9 inches
Step-by-step explanation:
The volume of a pyramid is given as:
where l = length of base of pyramid
w = width of base of pyramid
h = height of pyramid
The volume of the cylinder is already known ( ) and the other two dimensions are known as 5 in and 7 in.
From the formula of the volume of the pyramid, the height of the pyramid is given as:
Hence, the height of the pyramid is:
The pyramid's height is 9 inches.
Given Information:
Population mean = p = 60% = 0.60
Population size = N = 7400
Sample size = n = 50
Required Information:
Sample mean = μ = ?
standard deviation = σ = ?
Answer:
Sample mean = μ = 0.60
standard deviation = σ = 0.069
Step-by-step explanation:
We know from the central limit theorem, the sampling distribution is approximately normal as long as the expected number of successes and failures are equal or greater than 10
np ≥ 10
50*0.60 ≥ 10
30 ≥ 10 (satisfied)
n(1 - p) ≥ 10
50(1 - 0.60) ≥ 10
50(0.40) ≥ 10
20 ≥ 10 (satisfied)
The mean of the sampling distribution will be same as population mean that is
Sample mean = p = μ = 0.60
The standard deviation for this sampling distribution is given by
Where p is the population mean that is proportion of female students and n is the sample size.
Therefore, the standard deviation of the sampling distribution is 0.069.