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A spinner at a carnival has three equally sized slices. One slice is green, one slice is blue, 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) green blue 3. red 3. Consider spinning the dial like sampling from a population. (The population mean of the winnings is u=2.67 and the population standard deviation is G=0.47.) (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 Sample Winnings Sample mean, x 1 green, green 2, 2 green, blue 2,3 3. green, red 2,3 4 blue, green 0.0 5. blue, blue 0.0 6. blue, red red, green 3,2 red, blue 3,3 red, red 3,3 Compute Mean: Standard deviation: (b) Use the table from part (a) to find u- (the mean of the sampling distribution of the sample mean) and o (the standard deviation of the sampling distribution of the sample mean). Write your answers to two decimal places. 49

A spinner at a carnival has three equally sized slices. One slice is green, one slice is blue, 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) green blue 3. red 3. Consider spinning the dial like sampling from a population. (The population mean of the winnings is u=2.67 and the population standard deviation is G=0.47.) (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 Sample Winnings Sample mean, x 1 green, green 2, 2 green, blue 2,3 3. green, red 2,3 4 blue, green 0.0 5. blue, blue 0.0 6. blue, red red, green 3,2 red, blue 3,3 red, red 3,3 Compute Mean: Standard deviation: (b) Use the table from part (a) to find u- (the mean of the sampling distribution of the sample mean) and o (the standard deviation of the sampling distribution of the sample mean). Write your answers to two decimal places. 49

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
Section10.3: Measures Of Spread
Problem 8PPS
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Please make everything visible and clear especially for the histogram
A spinner at a carnival has three equally sized slices. One slice is green, one slice is blue, 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) green 2. blue red 3 Consider spinning the dial like sampling from a population. (The population mean of the winnings is u = 2.67 and the population standard deviation is o =0.47.) (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 Sample Winnings Sample mean, x 1 green, green 2, 2 green, blue 2,3 3 green, red 2, 3 4 blue, green 0.0 5. blue, blue 0.0 blue, red 0.0 7. red, green 3,2 8 red, blue 3,3 9. red, red 3,3 Compute Mean: Standard deviation: (b) Use the table from part (a) to find u- (the mean of the sampling distribution of the sample mean) and o (the standard deviation of the sampling distribution of the sample mean). Write your answers to two decimal places.
Transcribed Image Text:A spinner at a carnival has three equally sized slices. One slice is green, one slice is blue, 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) green 2. blue red 3 Consider spinning the dial like sampling from a population. (The population mean of the winnings is u = 2.67 and the population standard deviation is o =0.47.) (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 Sample Winnings Sample mean, x 1 green, green 2, 2 green, blue 2,3 3 green, red 2, 3 4 blue, green 0.0 5. blue, blue 0.0 blue, red 0.0 7. red, green 3,2 8 red, blue 3,3 9. red, red 3,3 Compute Mean: Standard deviation: (b) Use the table from part (a) to find u- (the mean of the sampling distribution of the sample mean) and o (the standard deviation of the sampling distribution of the sample mean). Write your answers to two decimal places.
red, green 3,2 8. red, blue 3,3 red, red 3,3 Compute Mean: Standard deviation: (b) Use the table from part (a) to find µ- (the mean of the sampling distribution of the sample mean) and o- (the standard deviation of the sampling distribution of the sample mean). Write your answers to two decimal places. (c) Graph the frequency histograms for the population distribution and the sampling distribution of the sample mean. Population distribution Sampling distribution of the sample mean Frequency Frequency 5. 5 4- 4. 3. 3. 2- 2. 1. 1. 0. 0- 2.5 Sample mean 3. Winnings (in dollars)
Transcribed Image Text:red, green 3,2 8. red, blue 3,3 red, red 3,3 Compute Mean: Standard deviation: (b) Use the table from part (a) to find µ- (the mean of the sampling distribution of the sample mean) and o- (the standard deviation of the sampling distribution of the sample mean). Write your answers to two decimal places. (c) Graph the frequency histograms for the population distribution and the sampling distribution of the sample mean. Population distribution Sampling distribution of the sample mean Frequency Frequency 5. 5 4- 4. 3. 3. 2- 2. 1. 1. 0. 0- 2.5 Sample mean 3. Winnings (in dollars)
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