Given Information:
Population size = N = 210
Mean height of women population = μ = 64.4 in.
Standard deviation of height of women population = σ = 2.9 in.
Sample size = n = 36
Required Information:
Sample mean = μx = ?
Sample standard deviation = σx = ?
Answer:
Sample mean = μx = 64.4 in.
Sample standard deviation = σx = 0.44 in.
Step-by-step explanation:
We are given a Normal Distribution, which is a continuous probability distribution and is symmetrical around the mean. The shape of this distribution is like a bell curve and most of the data is clustered around the mean. The area under this bell shaped curve represents the probability.
The mean of the sample will be same as population mean that is
μ = μx = 64.4 in
Whereas the sample standard deviation is given by
Where σ is the standard deviation of height of women population, N is the population size and n is the sample size.
The term is known as finite population correction factor and is used since the sampling is done without replacement.
Therefore, the standard deviation of sample is 0.44 in.
Let z = √3 + i. Compute the modulus and argument of z :
|z| = √((√3)² + 1²) = √4 = 2
arg(z) = arctan(1/√3) = π/6 = 30°
Then
z = √3 + i = 2 (cos(30°) + i sin(30°))
Answer:
k - 5
Step-by-step explanation:
if k is a number, and you take away 5, the expression would be k - 5 because you have 5 less than k
Answer:
7n - 1
Step-by-step explanation:
notice that the difference between adjacent terms is 7.
so nth term is given by:
nth term = first term + (n-1)×difference (n is any number)
= 6 + (n-1)7
= 6+ 7n -7
= 7n - 1
hope this helps :-))