After surveying students at a college, a campus organization calculated that a 95% confidence interval for the mean cost of food for one term is ($1372, $1562). Now the organization is trying to write its report and is considering the following interpretations. Comment on each. Complete parts a through e below. Question content area bottom Part 1 a) 95% of all students pay between $1372 and $1562 for food. Comment on the given interpretation. Choose the correct answer below. A. The interpretation is incorrect. A confidence interval is not about individuals in the population. B. The interpretation is incorrect. A confidence interval estimates a sample parameter. C. The interpretation is correct. A confidence interval estimates a population parameter. D. The interpretation is incorrect. A confidence interval is not about a population parameter. Part 2 b) 95% of the sampled students paid between $1372 and $1562. Comment on the given interpretation. Choose the correct answer below. A. The interpretation is incorrect. A confidence interval is not about individuals in the sample. B. The interpretation is incorrect. A confidence interval is not about a population parameter. C. The interpretation is incorrect. One knows that all of the sampled students paid between $1372 and $1562. D. The interpretation is correct. A confidence interval estimates a sample parameter. Part 3 c) One is 95% sure that students in this sample averaged between $1372 and $1562 for food. Comment on the given interpretation. Choose the correct answer below. A. The interpretation is incorrect. A confidence interval estimates the standard deviation of a population. B. The interpretation is correct. A confidence interval estimates a sample parameter. C. The interpretation is incorrect. A confidence interval estimates a sample parameter. D. The interpretation is incorrect. The mean cost for students in the sample is known to be $1467. Part 4 d) 95% of all samples of students will have average food costs between $1372 and $1562. Comment on the given interpretation. Choose the correct answer below. A. The interpretation is incorrect. One knows that all samples will have average food costs between $1372 and $1562. B. The interpretation is incorrect. 95% of all samples will have average food costs within two standard deviations of the true population mean. C. The interpretation is incorrect. A confidence interval estimates a sample parameter. D. The interpretation is correct. A confidence interval estimates a population parameter. Part 5 e) One is 95% sure that the average amount all students pay is between $1372 and $1562. Comment on the given interpretation. Choose the correct answer below. A. The interpretation is correct. A confidence interval estimates a population parameter. B. The interpretation is incorrect. A confidence interval estimates a sample parameter. C. The interpretation is incorrect. A confidence interval estimates individual values, not sample parameters. D. The interpretation is incorrect. A confidence interval is not about individual students in the population.
After surveying students at a college, a campus organization calculated that a 95% confidence interval for the mean cost of food for one term is ($1372, $1562). Now the organization is trying to write its report and is considering the following interpretations. Comment on each. Complete parts a through e below. Question content area bottom Part 1 a) 95% of all students pay between $1372 and $1562 for food. Comment on the given interpretation. Choose the correct answer below. A. The interpretation is incorrect. A confidence interval is not about individuals in the population. B. The interpretation is incorrect. A confidence interval estimates a sample parameter. C. The interpretation is correct. A confidence interval estimates a population parameter. D. The interpretation is incorrect. A confidence interval is not about a population parameter. Part 2 b) 95% of the sampled students paid between $1372 and $1562. Comment on the given interpretation. Choose the correct answer below. A. The interpretation is incorrect. A confidence interval is not about individuals in the sample. B. The interpretation is incorrect. A confidence interval is not about a population parameter. C. The interpretation is incorrect. One knows that all of the sampled students paid between $1372 and $1562. D. The interpretation is correct. A confidence interval estimates a sample parameter. Part 3 c) One is 95% sure that students in this sample averaged between $1372 and $1562 for food. Comment on the given interpretation. Choose the correct answer below. A. The interpretation is incorrect. A confidence interval estimates the standard deviation of a population. B. The interpretation is correct. A confidence interval estimates a sample parameter. C. The interpretation is incorrect. A confidence interval estimates a sample parameter. D. The interpretation is incorrect. The mean cost for students in the sample is known to be $1467. Part 4 d) 95% of all samples of students will have average food costs between $1372 and $1562. Comment on the given interpretation. Choose the correct answer below. A. The interpretation is incorrect. One knows that all samples will have average food costs between $1372 and $1562. B. The interpretation is incorrect. 95% of all samples will have average food costs within two standard deviations of the true population mean. C. The interpretation is incorrect. A confidence interval estimates a sample parameter. D. The interpretation is correct. A confidence interval estimates a population parameter. Part 5 e) One is 95% sure that the average amount all students pay is between $1372 and $1562. Comment on the given interpretation. Choose the correct answer below. A. The interpretation is correct. A confidence interval estimates a population parameter. B. The interpretation is incorrect. A confidence interval estimates a sample parameter. C. The interpretation is incorrect. A confidence interval estimates individual values, not sample parameters. D. The interpretation is incorrect. A confidence interval is not about individual students in the population.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section: Chapter Questions
Problem 8SGR
Related questions
Question
After surveying students at a college, a campus organization calculated that a 95% confidence interval for the mean cost of food for one term is ($1372, $1562). Now the organization is trying to write its report and is considering the following interpretations. Comment on each. Complete parts a through e below.
Question content area bottom
Part 1
a) 95% of all students pay between $1372 and $1562 for food.
Comment on the given interpretation. Choose the correct answer below.
The interpretation is incorrect. A confidence interval is not about individuals in the population.
The interpretation is incorrect. A confidence interval estimates a sample parameter.
The interpretation is correct. A confidence interval estimates a population parameter.
The interpretation is incorrect. A confidence interval is not about a population parameter.
Part 2
b) 95% of the sampled students paid between $1372 and $1562.
Comment on the given interpretation. Choose the correct answer below.
The interpretation is incorrect. A confidence interval is not about individuals in the sample.
The interpretation is incorrect. A confidence interval is not about a population parameter.
The interpretation is incorrect. One knows that all of the sampled students paid between $1372 and $1562.
The interpretation is correct. A confidence interval estimates a sample parameter.
Part 3
c) One is 95% sure that students in this sample averaged between $1372 and $1562 for food.
Comment on the given interpretation. Choose the correct answer below.
The interpretation is incorrect. A confidence interval estimates the standard deviation of a population.
The interpretation is correct. A confidence interval estimates a sample parameter.
The interpretation is incorrect. A confidence interval estimates a sample parameter.
The interpretation is incorrect. The mean cost for students in the sample is known to be $1467.
Part 4
d) 95% of all samples of students will have average food costs between $1372 and $1562.
Comment on the given interpretation. Choose the correct answer below.
The interpretation is incorrect. One knows that all samples will have average food costs between $1372 and $1562.
The interpretation is incorrect. 95% of all samples will have average food costs within two standard deviations of the true population mean.
The interpretation is incorrect. A confidence interval estimates a sample parameter.
The interpretation is correct. A confidence interval estimates a population parameter.
Part 5
e) One is 95% sure that the average amount all students pay is between $1372 and $1562.
Comment on the given interpretation. Choose the correct answer below.
The interpretation is correct. A confidence interval estimates a population parameter.
The interpretation is incorrect. A confidence interval estimates a sample parameter.
The interpretation is incorrect. A confidence interval estimates individual values, not sample parameters.
The interpretation is incorrect. A confidence interval is not about individual students in the population.
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