Question

2. The mean score for a random student who takes a certain aptitude test is 540 out of 600. It is also known that the standard deviation is 160. Consider a group of 40 students selected at random from the entire student population. From this sample we form the sample mean $\bar{X}$. a) What is the distribution of $\bar{X}$. Along with the type of distribution be sure to state any parameters. Explain the reasons why you think the sample mean has this distribution. (4 marks) b) Find the probability that sample means is between 538 and 545. (3 marks)

Name: 2 the mean score for a random student who takes a certain aptitude test is 540 out of 600 it is also known that the standard deviation is 160 consider a group of 40 students selected at rand 30332
Uploaded: 2023-12-03T22:49:05-08:00
Duration: 2 min 44 s
Channel: Ivan Kochetkov
Description: 2 the mean score for a random student who takes a certain aptitude test is 540 out of 600 it is also known that the standard deviation is 160 consider a group of 40 students selected at rand 30332

          2. The mean score for a random student who takes a certain aptitude test is 540 out of 600. It is also
known that the standard deviation is 160. Consider a group of 40 students selected at random from
the entire student population. From this sample we form the sample mean $\bar{X}$.
a) What is the distribution of $\bar{X}$. Along with the type of distribution be sure to state any
parameters. Explain the reasons why you think the sample mean has this distribution. (4
marks)
b) Find the probability that sample means is between 538 and 545. (3 marks)

2 the mean score for a random student who takes a certain aptitude test is 540 out of 600 it is also known that the standard deviation is 160 consider a group of 40 students selected at rand 30332

Added by Allison M.

Question

Please give Ace some feedback