Question

Math 11- MAC27 oh MAC20, you found the mean and standard deviation for X, the number of dots facing up for your convenience, on the next page. we found that the mean is μ . 3.5 and the standard deviation is σ-1.7078 Now, suppose that instead of tossing one die and counting the number of dots facing up we toss Name when a die is rolled. You may want to pause and look over the solutions to MAC20. These are dice and let the mean number of dots facing up on the two dice. Note that when tossing 2 dice, F could end up being 1.0, 15, 2.0,2.5, 3.0, 35,4.0,45,5.0,5.5, or 6.0. T is a random variable. We call the expected value (also known as the mean) of this random variable E(T) or μ. Your text uses the symbol μί The standard deviation of R, also called the standard error of the mean is denoted by the symbol Ơi It is easy to calculate once you know o, which you found on MAC20. Review Chapter 7 if you've forgotten the formula. Then complete the following sentence: When tossing two dice and finding the mean, , we find that has a mean or expected value, and a standard deviation Finally, suppose that instead of tossing two dice and finding the mean we were to toss five dice and record the mean for those five dice. Consider how this might (or might not) change the expected value and the standard deviation of the sample mean. Repeat this for larger samples of 10, 20, and 50 dice. Complete the table below using decimals rounded to four decimal places where necessary. Mean or expected Standard deviation of value of . Note that.Note that for nal, Number of dice tossed from which we'll find for n 1, this is the the sample mean, this is the standard mean for the roll of a deviation for the roll of single die.a single die. 3.5 1.7078 10 20 50 Copy this table into your notes as you will need this information for a future assignment.

Answer 1