The amount of coffee that people drink per day is normally distributed with a mean of 17 ounces and a standard deviation of 6 ounces. 35 randomly selected people are surveyed. Round all answers to 4 decimal places where possible.What is the distribution of XX? XX ~ N(,)What is the distribution of ¯xx¯? ¯xx¯ ~ N(,)What is the probability that one randomly selected person drinks between 16.5 and 17.1 ounces of coffee per day?

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Asked Nov 15, 2019
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The amount of coffee that people drink per day is normally distributed with a mean of 17 ounces and a standard deviation of 6 ounces. 35 randomly selected people are surveyed. Round all answers to 4 decimal places where possible.

  1. What is the distribution of XX? XX ~ N(,)
  2. What is the distribution of ¯xx¯? ¯xx¯ ~ N(,)
  3. What is the probability that one randomly selected person drinks between 16.5 and 17.1 ounces of coffee per day? 
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Expert Answer

Step 1

It is given that the mean and standard deviation are 17 and 6, respectively.

Step 2

a)

Here, the distribution of amount of coffee that people drink per day is normal. Therefore, the distribut...

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