STATISTICAL TECHNIQUES AND TOOLS
CONFIDENCE INTERVALS
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Question
[CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
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We are 95% confident that the true mean caloric content can be found with a sample of 150 to 350 cupcakes.
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We are 95% confident that the interval 150 to 350 calories captures the true average caloric content.
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We are 95% confident that a sample of 20 cupcakes will find 250 calories per cupcake.
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None of these are correct.
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Detailed explanation-1: -A sample of 20 cupcakes found the interval for average calories to be (150, 350). Which is the correct interpretation of the 95% confidence interval? We are 95% confident that the true mean caloric content can be found with a sample of 150 to 350 cupcakes.
Detailed explanation-2: -A confidence interval is a range around a measurement that conveys how precise the measurement is.
Detailed explanation-3: -The population size does not alter the ‘width of a ‘confidence interval’ for a ‘population proportion.
Detailed explanation-4: -A larger sample size or lower variability will result in a tighter confidence interval with a smaller margin of error. A smaller sample size or a higher variability will result in a wider confidence interval with a larger margin of error.