FORESTRY
AGRICULTURAL STATISTICS AND ECONOMICS
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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 calorie content can be found with a sample of 150 to 350 cupcakes.
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We are 95% confident that the true mean calorie content in cupcakes is between 150 and 350 calories.
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We are 95% confident that a sample of 20 cupcakes will find 250 calories per cupcake.
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In repeated sampling, 95% of the calories in the cupcakes will be between 150 and 350.
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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: -With a 95 percent confidence interval, you have a 5 percent chance of being wrong. With a 90 percent confidence interval, you have a 10 percent chance of being wrong. A 99 percent confidence interval would be wider than a 95 percent confidence interval (for example, plus or minus 4.5 percent instead of 3.5 percent).
Detailed explanation-3: -Calculating a C% confidence interval with the Normal approximation. ˆp±z√ˆp(1−ˆp)n, where the value of z is appropriate for the confidence level. For a 95% confidence interval, we use z=1.96, while for a 90% confidence interval, for example, we use z=1.64.