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Ali plays a game when he exercises. He chooses a marble from a bag of three marbles: one is green, one is red, and one is blue. Based on the marble he chooses, he completes a certain number of push-ups, as shown below. Marble Number of push-ups 8 green red blue Consider choosing a marble like sampling from a population. (The population mean of the number of push-ups is μ = 8.67 and the population standard deviation is o=0.47.) Index (a) Suppose a sample of size 2 is randomly selected from the population, with replacement, as follows. One marble is randomly chosen, the number of push-ups is completed, and the marble is put back into the bag. Then for a second time a marble is randomly chosen and the number of push-ups is completed. There are 9 possible samples. The numbers of push-ups for several of the possible samples have been listed in the table below. Enter the numbers of push-ups 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 numbers of push-ups for each sample, along with the mean and standard deviation of all the column's values. 1 2 9 3 4 5 9 6 Sample green, green green, red green, blue red, green red, red red blue Numbers of push- ups 8,8 8,9 8,9 9,8 9,9 99 Sample mean, x S

Ali plays a game when he exercises. He chooses a marble from a bag of three marbles: one is green, one is red, and one is blue. Based on the marble he chooses, he completes a certain number of push-ups, as shown below. Marble Number of push-ups 8 green red blue Consider choosing a marble like sampling from a population. (The population mean of the number of push-ups is μ = 8.67 and the population standard deviation is o=0.47.) Index (a) Suppose a sample of size 2 is randomly selected from the population, with replacement, as follows. One marble is randomly chosen, the number of push-ups is completed, and the marble is put back into the bag. Then for a second time a marble is randomly chosen and the number of push-ups is completed. There are 9 possible samples. The numbers of push-ups for several of the possible samples have been listed in the table below. Enter the numbers of push-ups 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 numbers of push-ups for each sample, along with the mean and standard deviation of all the column's values. 1 2 9 3 4 5 9 6 Sample green, green green, red green, blue red, green red, red red blue Numbers of push- ups 8,8 8,9 8,9 9,8 9,9 99 Sample mean, x S

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
Section10.6: Summarizing Categorical Data
Problem 11CYU
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4 (c) 5 6 7 8 9 H-= red, green red, red red, blue blue, green blue, red blue, blue 0- Compute (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. 9,8 9,9 9,9 0,0 0,0 0,0 Frequency Mean: Standard deviation: X 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
Transcribed Image Text:4 (c) 5 6 7 8 9 H-= red, green red, red red, blue blue, green blue, red blue, blue 0- Compute (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. 9,8 9,9 9,9 0,0 0,0 0,0 Frequency Mean: Standard deviation: X 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
Ali plays a game when he exercises. He chooses a marble from a bag of three marbles: one is green, one is red, and one is blue. Based on the marble he chooses, he completes a certain number of push-ups, as shown below. Marble Number of push-ups 8 9 green red blue Consider choosing a marble like sampling from a population. (The population mean of the number of push-ups is μ = 8.67 and the population standard deviation is o=0.47.) (a) Suppose a sample of size 2 is randomly selected from the population, with replacement, as follows. One marble is randomly chosen, the number of push-ups is completed, and the marble is put back into the bag. Then for a second time a marble is randomly chosen and the number of push-ups is completed. There are 9 possible samples. The numbers of push-ups for several of the possible samples have been listed in the table below. Enter the numbers of push-ups 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 numbers of push-ups for each sample, along with the mean and standard deviation of all the column's values. Index 9 1 2 3 4 5 6 Sample green, green green, red green, blue red, green red, red red, blue Numbers of push- ups 8,8 8,9 8,9 9,8 9,9 9,9 Sample mean, x X
Transcribed Image Text:Ali plays a game when he exercises. He chooses a marble from a bag of three marbles: one is green, one is red, and one is blue. Based on the marble he chooses, he completes a certain number of push-ups, as shown below. Marble Number of push-ups 8 9 green red blue Consider choosing a marble like sampling from a population. (The population mean of the number of push-ups is μ = 8.67 and the population standard deviation is o=0.47.) (a) Suppose a sample of size 2 is randomly selected from the population, with replacement, as follows. One marble is randomly chosen, the number of push-ups is completed, and the marble is put back into the bag. Then for a second time a marble is randomly chosen and the number of push-ups is completed. There are 9 possible samples. The numbers of push-ups for several of the possible samples have been listed in the table below. Enter the numbers of push-ups 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 numbers of push-ups for each sample, along with the mean and standard deviation of all the column's values. Index 9 1 2 3 4 5 6 Sample green, green green, red green, blue red, green red, red red, blue Numbers of push- ups 8,8 8,9 8,9 9,8 9,9 9,9 Sample mean, x X
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