What is the probability of obtaining a sample average this

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The caffeine content of Red Bull energy drink is a normally distributed random variable with a mean of 80 mg and a standard deviation of 0.3 mg. Suppose a quality inspector takes a sample of size 10 from the production line and finds that the average caffeine content in the sample is 79.8 mg. What is the probability of obtaining a sample average this low if the process is set up as described above? Take your answer to three decimal places. [Hint: This is a sampling distribution problem. Be sure to use the correct z-score calculation.]

Reference no: EM13628292

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