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Independent random samples are selected from two populations. Below are the sorted data from the first population. 53.2 54.2 54.7 55.3 55.9 56.0 56.3 57.0 58.2 58.5 58.7 61.0 62.5 62.8 64.4 66.3 67.0 69.0 Hint: The mean and standard deviation of these numbers are 59.50 and 4.80. Below are the sorted data from the second pop- ulation. 49.2 53.8 56.9 57.8 58.1 58.4 62.0 65.4 69.4 Hint: The mean and standard deviation of these numbers are 59.00 and 6.00. (a) Calculate Gosset's 90% confidence inter- val for the mean of the first population. (b) Calculate a confidence interval for the me- dian of the second population. Select your confidence level and report it with your answer. (c) Suppose that we now learn that the two samples came from the same population. Thus, the two samples can be combined into one random sample from the one pop- ulation. Use this combined sample to ob- tain the 95% confidence interval for the median of the population.

Independent random samples are selected from two populations. Below are the sorted data from the first population. 53.2 54.2 54.7 55.3 55.9 56.0 56.3 57.0 58.2 58.5 58.7 61.0 62.5 62.8 64.4 66.3 67.0 69.0 Hint: The mean and standard deviation of these numbers are 59.50 and 4.80. Below are the sorted data from the second pop- ulation. 49.2 53.8 56.9 57.8 58.1 58.4 62.0 65.4 69.4 Hint: The mean and standard deviation of these numbers are 59.00 and 6.00. (a) Calculate Gosset's 90% confidence inter- val for the mean of the first population. (b) Calculate a confidence interval for the me- dian of the second population. Select your confidence level and report it with your answer. (c) Suppose that we now learn that the two samples came from the same population. Thus, the two samples can be combined into one random sample from the one pop- ulation. Use this combined sample to ob- tain the 95% confidence interval for the median of the population.

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
Section10.4: Distributions Of Data
Problem 19PFA
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41. Independent random samples are selected from two populations. Below are the sorted data from the first population. 53.2 54.2 54.7 55.3 55.9 56.0 56.3 57.0 58.2 58.5 58.7 61.0 62.5 62.8 64.4 66.3 67.0 69.0 Hint: The mean and standard deviation of these numbers are 59.50 and 4.80. Below are the sorted data from the second pop- ulation. 49.2 53.8 56.9 57.8 58.1 58.4 62.0 65.4 69.4 Hint: The mean and standard deviation of these numbers are 59.00 and 6.00. (a) Calculate Gosset's 90% confidence inter- val for the mean of the first population. (b) Calculate a confidence interval for the me- dian of the second population. Select your confidence level and report it with your answer. (c) Suppose that we now learn that the two samples came from the same population. Thus, the two samples can be combined into one random sample from the one pop- ulation. Use this combined sample to ob- tain the 95% confidence interval for the median of the population. 12
Transcribed Image Text:41. Independent random samples are selected from two populations. Below are the sorted data from the first population. 53.2 54.2 54.7 55.3 55.9 56.0 56.3 57.0 58.2 58.5 58.7 61.0 62.5 62.8 64.4 66.3 67.0 69.0 Hint: The mean and standard deviation of these numbers are 59.50 and 4.80. Below are the sorted data from the second pop- ulation. 49.2 53.8 56.9 57.8 58.1 58.4 62.0 65.4 69.4 Hint: The mean and standard deviation of these numbers are 59.00 and 6.00. (a) Calculate Gosset's 90% confidence inter- val for the mean of the first population. (b) Calculate a confidence interval for the me- dian of the second population. Select your confidence level and report it with your answer. (c) Suppose that we now learn that the two samples came from the same population. Thus, the two samples can be combined into one random sample from the one pop- ulation. Use this combined sample to ob- tain the 95% confidence interval for the median of the population. 12
41. Independent random samples are selected from two populations. Below are the sorted data from the first population. 53.2 54.2 54.7 55.3 55.9 56.0 56.3 57.0 58.2 58.5 58.7 61.0 62.5 62.8 64.4 66.3 67.0 69.0 Hint: The mean and standard deviation of these numbers are 59.50 and 4.80. Below are the sorted data from the second pop- ulation. 49.2 53.8 56.9 57.8 58.1 58.4 62.0 65.4 69.4 Hint: The mean and standard deviation of these numbers are 59.00 and 6.00. (a) Calculate Gosset's 90% confidence inter- val for the mean of the first population. (b) Calculate a confidence interval for the me- dian of the second population. Select your confidence level and report it with your answer. (c) Suppose that we now learn that the two samples came from the same population. Thus, the two samples can be combined into one random sample from the one pop- ulation. Use this combined sample to ob- tain the 95% confidence interval for the median of the population. 12
Transcribed Image Text:41. Independent random samples are selected from two populations. Below are the sorted data from the first population. 53.2 54.2 54.7 55.3 55.9 56.0 56.3 57.0 58.2 58.5 58.7 61.0 62.5 62.8 64.4 66.3 67.0 69.0 Hint: The mean and standard deviation of these numbers are 59.50 and 4.80. Below are the sorted data from the second pop- ulation. 49.2 53.8 56.9 57.8 58.1 58.4 62.0 65.4 69.4 Hint: The mean and standard deviation of these numbers are 59.00 and 6.00. (a) Calculate Gosset's 90% confidence inter- val for the mean of the first population. (b) Calculate a confidence interval for the me- dian of the second population. Select your confidence level and report it with your answer. (c) Suppose that we now learn that the two samples came from the same population. Thus, the two samples can be combined into one random sample from the one pop- ulation. Use this combined sample to ob- tain the 95% confidence interval for the median of the population. 12
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