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A spinner at a carnival has three equally sized slices. One slice is blue, one slice is green, and one slice is red. The amounts you can win (in dollars), based on which slice the dial lands on, are given below. Slice Winnings (in dollars) blue 1 2 3 (b) green red Consider spinning the dial like sampling from a population. (The population mean of the winnings is μ = 2.00 and the population standard deviation is a=0.82.) (a) Suppose the dial is spun 2 times, and the winnings for each spin is recorded. The sequence of 2 spins that is observed is a sample of size 2 randomly selected from the population, with replacement. There are 9 possible samples. The winnings for several of the possible samples have been listed in the table below. Enter the winnings for the remaining possible samples. When you are done, select "Compute". In the "Sample mean, x" column, you will then see the sample mean of the winnings for each sample, along with the mean and standard deviation of all the column's values. Index 1 2 3 4 5 6 7 8 9 Sample blue, blue blue, green blue, red green, blue green, green green, red red, blue red, green red, red +== Compute Winnings 1,1 1,2 0,0 2,1 0.0 2,3 0.0 3,2 3,3 Mean: Sample mean, x X Standard deviation: Use the table from part (a) to find μ- (the mean of the sampling distribution of the sample mean) and 6 (the standard deviation of the sampling distribution of the sample mean). Write your answers to two decimal places. X

A spinner at a carnival has three equally sized slices. One slice is blue, one slice is green, and one slice is red. The amounts you can win (in dollars), based on which slice the dial lands on, are given below. Slice Winnings (in dollars) blue 1 2 3 (b) green red Consider spinning the dial like sampling from a population. (The population mean of the winnings is μ = 2.00 and the population standard deviation is a=0.82.) (a) Suppose the dial is spun 2 times, and the winnings for each spin is recorded. The sequence of 2 spins that is observed is a sample of size 2 randomly selected from the population, with replacement. There are 9 possible samples. The winnings for several of the possible samples have been listed in the table below. Enter the winnings for the remaining possible samples. When you are done, select "Compute". In the "Sample mean, x" column, you will then see the sample mean of the winnings for each sample, along with the mean and standard deviation of all the column's values. Index 1 2 3 4 5 6 7 8 9 Sample blue, blue blue, green blue, red green, blue green, green green, red red, blue red, green red, red +== Compute Winnings 1,1 1,2 0,0 2,1 0.0 2,3 0.0 3,2 3,3 Mean: Sample mean, x X Standard deviation: Use the table from part (a) to find μ- (the mean of the sampling distribution of the sample mean) and 6 (the standard deviation of the sampling distribution of the sample mean). Write your answers to two decimal places. X

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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A spinner at a carnival has three equally sized slices. One slice is blue, one slice is green, and one slice is red. The amounts you can win (in dollars), based on which slice the dial lands on, are given below. | Slice | Winnings (in dollars) | |-------|-----------------------| | blue | 1 | | green | 2 | | red | 3 | Consider spinning the dial like sampling from a population. (The population mean of the winnings is μ = 2.00 and the population standard deviation is σ = 0.82.) --- (a) Suppose the dial is spun 2 times, and the winnings for each spin is recorded. The sequence of 2 spins that is observed is a sample of size 2 randomly selected from the population, with replacement. There are 9 possible samples. The winnings for several of the possible samples have been listed in the table below. Enter the winnings for the remaining possible samples. When you are done, select "Compute". In the "Sample mean, x̄ " column, you will then see the sample mean of the winnings for each sample, along with the mean and standard deviation of all the column's values. | Index | Sample | Winnings | Sample mean, x̄ | |-------|------------|----------|-----------------| | 1 | blue, blue | 1, 1 | | | 2 | blue, green| 1, 2 | | | 3 | blue, red | 1, 3 | | | 4 | green, blue| 2, 1 | | | 5 | green, green| 2, 2 | | | 6 | green, red | 2, 3 | | | 7 | red, blue | 3, 1 | | | 8 | red, green | 3, 2 | | | 9 | red, red | 3, 3 | | Compute Mean: ____________ Standard deviation: ____________ --- (b) Use the table from part (a) to find μ_x̄ (the mean of the sampling distribution of the sample mean) and σ_x̄ (the standard deviation of the sampling distribution of the sample mean
Transcribed Image Text:A spinner at a carnival has three equally sized slices. One slice is blue, one slice is green, and one slice is red. The amounts you can win (in dollars), based on which slice the dial lands on, are given below. | Slice | Winnings (in dollars) | |-------|-----------------------| | blue | 1 | | green | 2 | | red | 3 | Consider spinning the dial like sampling from a population. (The population mean of the winnings is μ = 2.00 and the population standard deviation is σ = 0.82.) --- (a) Suppose the dial is spun 2 times, and the winnings for each spin is recorded. The sequence of 2 spins that is observed is a sample of size 2 randomly selected from the population, with replacement. There are 9 possible samples. The winnings for several of the possible samples have been listed in the table below. Enter the winnings for the remaining possible samples. When you are done, select "Compute". In the "Sample mean, x̄ " column, you will then see the sample mean of the winnings for each sample, along with the mean and standard deviation of all the column's values. | Index | Sample | Winnings | Sample mean, x̄ | |-------|------------|----------|-----------------| | 1 | blue, blue | 1, 1 | | | 2 | blue, green| 1, 2 | | | 3 | blue, red | 1, 3 | | | 4 | green, blue| 2, 1 | | | 5 | green, green| 2, 2 | | | 6 | green, red | 2, 3 | | | 7 | red, blue | 3, 1 | | | 8 | red, green | 3, 2 | | | 9 | red, red | 3, 3 | | Compute Mean: ____________ Standard deviation: ____________ --- (b) Use the table from part (a) to find μ_x̄ (the mean of the sampling distribution of the sample mean) and σ_x̄ (the standard deviation of the sampling distribution of the sample mean
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