STATISTICAL TECHNIQUES AND TOOLS
CONFIDENCE INTERVALS
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Question
[CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
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Suppose that a confidence interval for hours worked by students was computed to be (8.82, 10.78). Which of these is a valid interpretation of this confidence interval?
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There is a 95% probability that the average number of hours worked by all students is between 8.82 and 10.78 hours.
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There is a 95% probability that a randomly selected student worked between 8.82 and 10.78 hours.
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We are 95% confident that the population average number of hours worked by all students is between 8.82 and 10.78 hours.
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We are 95% confident that the average number of hours worked by the students in our sample is between 8.82 and 10.78 hours.
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Explanation:
Detailed explanation-1: -Suppose that a confidence interval for hours worked by students was computed to be (8.82, 10.78). Which of these is a valid interpretation of this confidence interval? There is a 95% probability that the average number of hours worked by all students is between 8.82 and 10.78 hours.
Detailed explanation-2: -A 99% confidence interval estimate can be interpreted to mean that: If all possible samples are taken and confidence interval estimates are developed, 99% of them would include the true population mean somewhere within their interval.
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