Question

A group of teachers decided that they would each bring a similar jar of candies to their classrooms so their

students could practice estimation. The students were told that whoever had the closest guess in the class
would win the candy, and so they all guessed how many candies were in their classroom's jar. The
distribution of individual guesses was strongly skewed to the right with a mean of 115 candies and a
standard deviation of 35 candies.
Suppose we took random samples of 6 students and calculated T as the sample mean of their guesses. We
can assume that the students in each sample are independent.
What will be the shape of the sampling distribution of ?
Oop

Answer 1

The shape of the sampling distribution of the sample mean is approximately normal.

Step-by-step explanation:

The shape of the sampling distribution of the sample mean, denoted as T, can be described as approximately normal. This is known as the Central Limit Theorem (CLT) in statistics. According to the CLT, the sampling distribution of the sample mean approaches a normal distribution as the sample size increases, regardless of the shape of the population distribution.

In this case, the distribution of individual guesses is strongly skewed to the right. However, since the sample size is relatively large (6 students in each sample), we can assume that the sampling distribution of the sample mean will be approximately normal.

Answer 2

Answer:skewed to the right

Step-by-step explanation:khan academy