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The number of calories a person consumes daily follows an approximately normal distribution.
(a) Calculate the z-score representing the highest 5% of calories consumed in a day. (Use a table or technology. Round your answer to two decimal places.)
(b) If the mean number of calories consumed is 2,350 with a standard deviation of 175 calories, calculate the z-score for a day where 2,500 calories were consumed. (Round your answer to two decimal places.)
(c) Is this 2,500-calorie day in the top 5% of days?
Yes
No
The judge rates you with a z-score of 1.30. This corresponds to which percentile (in percent)? (Use a table or technology. Round your answers to two decimal places.)
%
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