A large multinational company knows that the average age of their employees is 34 years. They also know that the standard deviation of the ages of these employees is 8 years. We know that the population of employee ages will have a right skewed distribution. A manager from human resources is going to randomly select a sample of 100. Which of the following is true?
1- The sampling distribution of the mean will have a smaller standard deviation than the population.
2- We know that the shape of the sampling distribution of the mean will be approximately symmetric.
3- The sampling distribution of the mean will have the same standard deviation as the population.
4- We know that the shape of the sampling distribution of the mean will be right skewed.
5- The sampling distribution of the mean will have a larger standard deviation than the population.
6- We can not tell what the shape sampling distribution of the mean will look like.