Scores on a standardized exam are known to follow a normal distribution with a standard deviation of o = 8. A researcher randomly selects 84 students and finds their mean exam score to be I = 78. How confident are you that the mean score for all students taking the exam is in the interval (76.702, 79.298)? *Include 2 decimals places in your final answer* Confidence Level:

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Scores on a standardized exam are known to follow a normal distribution with a standard deviation of \( \sigma = 8 \). A researcher randomly selects 84 students and finds their mean exam score to be \( \bar{x} = 78 \). How confident are you that the mean score for all students taking the exam is in the interval (76.702, 79.298)?

*Include 2 decimal places in your final answer*

Confidence Level:  
[Text box for input]
Transcribed Image Text:Scores on a standardized exam are known to follow a normal distribution with a standard deviation of \( \sigma = 8 \). A researcher randomly selects 84 students and finds their mean exam score to be \( \bar{x} = 78 \). How confident are you that the mean score for all students taking the exam is in the interval (76.702, 79.298)? *Include 2 decimal places in your final answer* Confidence Level: [Text box for input]
Expert Solution
Step 1

Given:

Population standard deviation σ=8

Number of students (n) = 84

Sample mean x¯ = 78

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