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On Assignment 11.15, you found the mean and standard deviation for X, the number of dots facing up when a single die is rolled. You may want to pause and look over the solutions to MAC15. These are copied, for your convenience, on the back of this page. We found that the mean is u = 3.5 and the standard deviation is o = 1.7078. Now, suppose that instead of tossing one die and counting the number of dots facing up we toss two dice and let X =the mean number of dots facing up on the two dice. Note that when tossing 2 dice, x could end up being 1.0, 1.5, 2.0, 2.5, 3.0, 3.5, 4.0, 4.5, 5.0, 5.5, or 6.0. X is a random variable. We call the expected value (also known as the mean) of this random variable E( X ) or H. Your text uses the symbol A. The standard deviation of , also called the standard error of the mean is denoted by the symbol O. It is easy to calculate once you know o, which you found on MAC15. Review Chapter 7 if you've orgotten the formula. Then complete the following sentence: When tossing two dice and finding the mean, Xwe find that has a mean or expected value, ミク 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 Number of dice tossed value of x. Note that x. Note that for n=1, from which we'll find for n=1, this is the this is the standard the sample mean, I mean for the roll of a deviation for the roll of single die. a single die. n or 1 3.5 1.7078 5 10 20 50

On Assignment 11.15, you found the mean and standard deviation for X, the number of dots facing up when a single die is rolled. You may want to pause and look over the solutions to MAC15. These are copied, for your convenience, on the back of this page. We found that the mean is u = 3.5 and the standard deviation is o = 1.7078. Now, suppose that instead of tossing one die and counting the number of dots facing up we toss two dice and let X =the mean number of dots facing up on the two dice. Note that when tossing 2 dice, x could end up being 1.0, 1.5, 2.0, 2.5, 3.0, 3.5, 4.0, 4.5, 5.0, 5.5, or 6.0. X is a random variable. We call the expected value (also known as the mean) of this random variable E( X ) or H. Your text uses the symbol A. The standard deviation of , also called the standard error of the mean is denoted by the symbol O. It is easy to calculate once you know o, which you found on MAC15. Review Chapter 7 if you've orgotten the formula. Then complete the following sentence: When tossing two dice and finding the mean, Xwe find that has a mean or expected value, ミク 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 Number of dice tossed value of x. Note that x. Note that for n=1, from which we'll find for n=1, this is the this is the standard the sample mean, I mean for the roll of a deviation for the roll of single die. a single die. n or 1 3.5 1.7078 5 10 20 50

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section: Chapter Questions
Problem 5PT
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Statistics: Assignment 17.30 Name: On Assignment 11.15, you found the mean and standard deviation for X, the number of dots facing up when a single die is rolled. You may want to pause and look over the solutions to MAC15. These are copied, for your convenience, on the back of this page. We found that the mean is u = 3.5 and the standard deviation is o = 1.7078 . Now, suppose that instead of tossing one die and counting the number of dots facing up we toss two dice and let X = the mean number of dots facing up on the two dice. Note that when tossing 2 dice, x could end up being 1.0, 1.5, 2.0, 2.5, 3.0, 3.5, 4.0, 4.5, 5.0, 5.5, or 6.0. X is a random variable. We call the expected value (also known as the mean) of this random variable E( x ) or Hx. Your text uses the symbol Ax. The standard deviation of , also called the standard error of the mean is denoted by the symbol O. It is easy to calculate once you know o, which you found on MAC15. Review Chapter 7 if you've forgotten the formula. Then complete the following sentence: When tossing two dice and finding the mean, X 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 sing decimals rounded to four decimal places where necessary. Mean or expected Standard deviation of Number of dice tossed value of x. Note that x. Note that for n=1, from which we'll find for n=1, this is the this is the standard the sample mean, x mean for the roll of a deviation for the roll of single die. a single die. E(x)or 4; 1 3.5 1.7078 2 5 10 20 50
Transcribed Image Text:Statistics: Assignment 17.30 Name: On Assignment 11.15, you found the mean and standard deviation for X, the number of dots facing up when a single die is rolled. You may want to pause and look over the solutions to MAC15. These are copied, for your convenience, on the back of this page. We found that the mean is u = 3.5 and the standard deviation is o = 1.7078 . Now, suppose that instead of tossing one die and counting the number of dots facing up we toss two dice and let X = the mean number of dots facing up on the two dice. Note that when tossing 2 dice, x could end up being 1.0, 1.5, 2.0, 2.5, 3.0, 3.5, 4.0, 4.5, 5.0, 5.5, or 6.0. X is a random variable. We call the expected value (also known as the mean) of this random variable E( x ) or Hx. Your text uses the symbol Ax. The standard deviation of , also called the standard error of the mean is denoted by the symbol O. It is easy to calculate once you know o, which you found on MAC15. Review Chapter 7 if you've forgotten the formula. Then complete the following sentence: When tossing two dice and finding the mean, X 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 sing decimals rounded to four decimal places where necessary. Mean or expected Standard deviation of Number of dice tossed value of x. Note that x. Note that for n=1, from which we'll find for n=1, this is the this is the standard the sample mean, x mean for the roll of a deviation for the roll of single die. a single die. E(x)or 4; 1 3.5 1.7078 2 5 10 20 50
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