A researcher investigated four different word lists for use in hearing assessments. She wanted to know whether the lists were equally difficult to understand in the presence of a noisy background. To find out, she tested 96 subjects with normal hearing. She randomly assigned 24 to each of the four word lists and measured the number of words perceived correctly in the presence of background noise. Here are the summary statistics for number of words perceived correctly for each of the four words lists. Sample size Sample mean Sample standard deviation Word List A 24 32.5 5.1 Word List B 24 34.0 7.1 Word List C 24 25.75 6.3 Word List D 24 26.25 6.7 Suppose an F-test is to be performed. Which of the following is the correct null hypothesis?

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A researcher investigated four different word lists for use in hearing assessments. She wanted
to know whether the lists were equally difficult to understand in the presence of a noisy
background. To find out, she tested 96 subjects with normal hearing. She randomly assigned 24
to each of the four word lists and measured the number of words perceived correctly in the
presence of background noise. Here are the summary statistics for number of words perceived
correctly for each of the four words lists.
Sample size
Sample mean
Sample standard
deviation
Word List A
24
32.5
5.1
Word List B
24
34.0
7.1
Word List C
24
25.75
6.3
Word List D
24
26.25
6.7
Suppose an F-test is to be performed. Which of the following is the correct null hypothesis?
Transcribed Image Text:A researcher investigated four different word lists for use in hearing assessments. She wanted to know whether the lists were equally difficult to understand in the presence of a noisy background. To find out, she tested 96 subjects with normal hearing. She randomly assigned 24 to each of the four word lists and measured the number of words perceived correctly in the presence of background noise. Here are the summary statistics for number of words perceived correctly for each of the four words lists. Sample size Sample mean Sample standard deviation Word List A 24 32.5 5.1 Word List B 24 34.0 7.1 Word List C 24 25.75 6.3 Word List D 24 26.25 6.7 Suppose an F-test is to be performed. Which of the following is the correct null hypothesis?
None of the explanatory variables help to predict the number of words perceived correctly.
At least one of the explanatory variables helps to predict the number of words perceived correctly.
All of the word lists have the same mean number of words perceived correctly.
At least one of the word lists has a different mean number of words perceived correctly.
All of the word lists have a different mean number of words perceived correctly.
Transcribed Image Text:None of the explanatory variables help to predict the number of words perceived correctly. At least one of the explanatory variables helps to predict the number of words perceived correctly. All of the word lists have the same mean number of words perceived correctly. At least one of the word lists has a different mean number of words perceived correctly. All of the word lists have a different mean number of words perceived correctly.
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