Researchers examined the candy bar consumption of college undergraduates and found that males ate candy bars significantly more often than females. Assume that the overall level of consumption for college male undergraduates averages μ = 35 ounces of candy bars per month , and that the distribution of monthly consumption scores is approximately normal with a standard deviation of σ = 15.   To investigate this phenomenon, a researcher selects a random sample of n = 9 females and finds they ate an average of 21 ounces per month. Did this sample of females eat significantly fewer ounces of candy bars than their male counterparts? What is the probability of this sample mean? That is, what is the probability of a sample mean of 21 ounces or less, p(M < 21)?

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Researchers examined the candy bar consumption of college undergraduates and found that males ate candy bars significantly more often than females. Assume that the overall level of consumption for college male undergraduates averages μ = 35 ounces of candy bars per month , and that the distribution of monthly consumption scores is approximately normal with a standard deviation of σ = 15.

 

To investigate this phenomenon, a researcher selects a random sample of n = 9 females and finds they ate an average of 21 ounces per month.

Did this sample of females eat significantly fewer ounces of candy bars than their male counterparts?

What is the probability of this sample mean? That is, what is the probability of a sample mean of 21 ounces or less, p(M < 21)?

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