Answer: The standard deviation of the sampling distribution of M is equal to the standard deviation of the population divided by the square root of the sample size.
You can assume that the sampling distribution of M is normally distributed for any sample size.
Step-by-step explanation:
- According to the central limit theorem , if we have a population with mean
and standard deviation 
, then if we take a sufficiently large random samples from the population with replacement , the distribution of the sample means will be approximately normally distributed. - When population is normally distributed , then the mean of the sampling distribution = Population mean
- Standard deviation of the sampling distribution =
, where = standard deviation of the population , n= sample size.
So, the correct statements are:
- You can assume that the sampling distribution of M is normally distributed for any sample size.
- The standard deviation of the sampling distribution of M is equal to the standard deviation of the population divided by the square root of the sample size.
Answer is choice C
The expression given is equivalent to -3i
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Explanation:
Using a calculator, a reference sheet, or the unit circle, you'll find that:
cos(270) = 0
sin(270) = -1
So this means
z = 3(cos(270)+i*sin(270))
z = 3(0+i*(-1))
z = 3*0+3*i*(-1)
z = 0-3i
z = -3i
which is in a+bi form where a = 0 and b = -3
Answer:
68.25
Step-by-step explanation:
68.25 is your answer :)
Answer:
The distance from the ship to the dock is approximately 5.24 miles
Step-by-step explanation:
From the parameters given in the question, we have;
The angle formed between the dock and the lighthouse = 70°
The angle formed between the dock and the lighthouse at the ship = 80°
The distance between dock and the lighthouse = 5 miles (From a similar question online)
By sine rule, we have;
Therefore, we have;
Therefore;
The distance from the ship to the dock ≈ 5.24 miles
