This is for a central limit project. Its due today by 3pm. I'm still a little confused on how to get this done. I appreciate your assistance. thank you in advance

Question 1.

Keep the # of sides on die: 6

Keep the # of dice to roll: 1

Click Tally roll results: Average = 3.5 (The average of all the sides of a die)

Question 2.

With the same information (including the 4 rolls already done) do 5 runs until you have 34 runs in all.

Is the average the same as 3.5?

Is it closer to 3.5 than when you rolled only 4 times?

roll 1 run four times.

Is your average roll the same as 3.5?

Question 3

Now that you have made 34 runs in all,

This will create a column of the 34 rolls.

With SAMPLE SIZE: 2

Run the sampling distribution 4 times.

Describe what this applet is doing in your own words.

question 4

with the Sampling Distribution applet, run it until you have 1034 samples in all.

What happens to the mean as you increased the number of samples?

question 5

RESET the sampling distribution.

Change the sample size to 30.

Run the sampling distribution 1034 times.

Is the mean of the sample means exactly the mean of your population?

Is the mean of the sample means approximately the same as the population mean?

Is the standard deviation of the sample means exactly the same as the population standard deviation?

using the formula for the standard deviation of the sample means, sigma Subscript x overbar Baseline equals StartFraction sigma Over StartRoot n EndRoot EndFractionx=n,

is this number approximately equal to the standard deviation of the sample means?

what is the distribution shape of the means of the sample means?

Question6

The actual mean of rolling a fair 6-sided die is 3.5 with a standard deviation of 1.708.

If you were to roll 42 dice, based on the Central Limit Theorem, what would the mean of the sample means be for the 42 dice?

What would the standard deviation of the sample means be for the 42 dice? Round to 4 decimal places.

Based on this information, what is the probability of rolling 42 dice and getting a mean of 4.1or higher? Round to 4 decimal places.