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:
only a
Step-by-step explanation:
Answer:
Step-by-step explanation:
given that two cards are drawn, without replacement, from a standard 52-card deck.
a) Both cards are red
Here there are 26 red cards and 52 total cards.
Probability = 
b) Both cards are the same color
i.e. either both are red or both are black
Hence probability = twice of part a
= 
c) The second card is a queen, given that the first card is an ace.
If first card is an ace remaining are 51 cards with 4 queens\
So prob = 4/51
Answer: 18
Step-by-step explanation: