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)(20,995, 22,905). Assuming all conditions for inference are met, which of the following is a correct interpretation of the interval? 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. A 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. B 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. C 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. D For all students in humanities programs who submit papers, 95 percent of the papers are between 20,995 words and 22,905 words. E
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)(20,995, 22,905).
Assuming all conditions for inference are met, which of the following is a correct interpretation of the interval?
-
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.
A -
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.
B -
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.
C -
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.
D -
For all students in humanities programs who submit papers, 95 percent of the papers are between 20,995 words and 22,905 words.
E
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