RESEARCH METHODOLOGY

STATISTICAL TECHNIQUES AND TOOLS

SAMPLING DISTRIBUTION

Question [CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
A sample of 20 cupcakes found the interval for calories to be (150, 350). Which is the correct interpretation of the 95% confidence interval?
A
We are 95% confident that the true mean calorie content can be found with a sample of 150 to 350 cupcakes.
B
We are 95% confident that the true mean calorie content in cupcakes is between 150 and 350 calories.
C
We are 95% confident that a sample of 20 cupcakes will find 250 calories per cupcake.
D
None of these are correct.
Explanation: 

Detailed explanation-1: -A sample of 20 cupcakes found the interval for calories to be (150, 350). Which is the correct interpretation of the 95% confidence interval? We are 95% confident that the true mean calorie content can be found with a sample of 150 to 350 cupcakes.

Detailed explanation-2: -(Note that Z=1.645 to reflect the 90% confidence level.)

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