I'm assuming for this problem I need to find the z-score first then find the value on the distribution chart?The mean number of calories consumer per day for females aged 27 is 2725 with a standard deviation of 277. If a simple random sample of 100 females is selected, what is the probability that the mean number of calories ingested is more than 2800?

ENGR.ECONOMIC ANALYSIS
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Chapter1: Making Economics Decisions
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I'm assuming for this problem I need to find the z-score first then find the value on the distribution chart?
The mean number of calories consumer per day for females aged 27 is 2725 with a standard deviation of 277. If a simple random sample of 100 females is selected, what is the probability that the mean number of calories ingested is more than 2800?

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