Question: Please solve and show all work to solve future questions. Question 7 The amount of coffee that people drink per day is normally distributed with

Please solve and show all work to solve future questions.

Question 7 The amount of coffee that people drink per day is normally distributed with a mean of 14 ounces and a standard deviation of 5 ounces. 7 randomly selected people are surveyed. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X - N( 14 5 ery b. What is the distribution of ? E - N( 14 1.8898 m Proctor c. What is the probability that one randomly selected person drinks between 13 and 14.5 ounces of coffee per day? d. For the 7 people, find the probability that the average coffee consumption is between 13 and 14.5 ounces of coffee per day. ion e. For part d), is the assumption that the distribution is normal necessary? O NoO Yes f. Find the IQR for the average of 7 coffee drinkers. 01 = ounces e Q3 = ounces tebook IQR: ounces

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