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A linguist at a large university was studying the word length of papers submitted by students enrolled in humanities programs. From a random sample of 25 papers, the linguist counted the number of words used in each paper. The 95 percent confidence interval was calculated to be (20,995, 22,905). Assuming all conditions for inference are met, which of the following is a correct interpretation of the interval? A We are 95 percent confident that the mean word length for the papers submitted by students in the sample is between 20,995 words and 22,905 words. We are 95 percent confident that the mean word length for all papers submitted by students in humanities programs is between 20,995 words and 22,905 words. The probability is 0.95 that the mean word length for the papers submitted by students in the sample is between 20,995 words and 22,905 words. D The probability is 0.95 that the mean word length for all papers submitted by students in humanities programs is between 20,995 words and 22,905 words. E For all students in humanities programs who submit papers, 95 percent of the papers are between 20,995 words and 22,905 words.

A linguist at a large university was studying the word length of papers submitted by students enrolled in humanities programs. From a random sample of 25 papers, the linguist counted the number of words used in each paper. The 95 percent confidence interval was calculated to be (20,995, 22,905). Assuming all conditions for inference are met, which of the following is a correct interpretation of the interval? A We are 95 percent confident that the mean word length for the papers submitted by students in the sample is between 20,995 words and 22,905 words. We are 95 percent confident that the mean word length for all papers submitted by students in humanities programs is between 20,995 words and 22,905 words. The probability is 0.95 that the mean word length for the papers submitted by students in the sample is between 20,995 words and 22,905 words. D The probability is 0.95 that the mean word length for all papers submitted by students in humanities programs is between 20,995 words and 22,905 words. E For all students in humanities programs who submit papers, 95 percent of the papers are between 20,995 words and 22,905 words.

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
Section: Chapter Questions
Problem 13PT
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A linguist at a large university was studying the word length of papers submitted by students enrolled in humanities programs. From a random sample of 25 papers, the linguist counted the number of words used in each paper. The 95 percent confidence interval was calculated to be (20,995, 22,905). Assuming all conditions for inference are met, which of the following is a correct interpretation of the interval? A We are 95 percent confident that the mean word length for the papers submitted by students in the sample is between 20,995 words and 22,905 words. в We are 95 percent confident that the mean word length for all papers submitted by students in humanities programs is between 20,995 words and 22,905 words. The probability is 0.95 that the mean word length for the papers submitted by students in the sample is between 20,995 words and 22,905 words. D The probability is 0.95 that the mean word length for all papers submitted by students in humanities programs is between 20,995 words and 22,905 words. E For all students in humanities programs who submit papers, 95 percent of the papers are between 20,995 words and 22,905 words.
Transcribed Image Text:A linguist at a large university was studying the word length of papers submitted by students enrolled in humanities programs. From a random sample of 25 papers, the linguist counted the number of words used in each paper. The 95 percent confidence interval was calculated to be (20,995, 22,905). Assuming all conditions for inference are met, which of the following is a correct interpretation of the interval? A We are 95 percent confident that the mean word length for the papers submitted by students in the sample is between 20,995 words and 22,905 words. в We are 95 percent confident that the mean word length for all papers submitted by students in humanities programs is between 20,995 words and 22,905 words. The probability is 0.95 that the mean word length for the papers submitted by students in the sample is between 20,995 words and 22,905 words. D The probability is 0.95 that the mean word length for all papers submitted by students in humanities programs is between 20,995 words and 22,905 words. E For all students in humanities programs who submit papers, 95 percent of the papers are between 20,995 words and 22,905 words.
In certain regions of the country, elk can cause damage to agricultural crops by walking through the fields. One strategy designed to limit elk from crossing a field is to surround the field with a fence. Some elk, however, will still be able to bypass the fence. For a period of one month, the number of elk found crossing a sample of fields with a fence was recorded and used to construct the 95 percent confidence interval (2.9, 4.4) for the mean number of elk. Assume that the conditions for inference were checked and verified. The interval (2.9, 4.4) provides convincing statistical evidence for which of the following claims? A The mean number of elk to cross a field protected by a fence is 4 per month. в The mean number of elk to cross a field protected by a fence is 2 per month. The mean number of elk to cross all fields protected by a fence is greater than 2 per month. D The mean number of elk to cross all fields protected by a fence is less than 2 per month. E The mean number of elk to cross all fields protected by a fence is equal to 3.65 per month.
Transcribed Image Text:In certain regions of the country, elk can cause damage to agricultural crops by walking through the fields. One strategy designed to limit elk from crossing a field is to surround the field with a fence. Some elk, however, will still be able to bypass the fence. For a period of one month, the number of elk found crossing a sample of fields with a fence was recorded and used to construct the 95 percent confidence interval (2.9, 4.4) for the mean number of elk. Assume that the conditions for inference were checked and verified. The interval (2.9, 4.4) provides convincing statistical evidence for which of the following claims? A The mean number of elk to cross a field protected by a fence is 4 per month. в The mean number of elk to cross a field protected by a fence is 2 per month. The mean number of elk to cross all fields protected by a fence is greater than 2 per month. D The mean number of elk to cross all fields protected by a fence is less than 2 per month. E The mean number of elk to cross all fields protected by a fence is equal to 3.65 per month.
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