The average amount of money that people spend at Don Mcalds fast food place is $7.5200 with a standard deviation of $1.9400. 12 customers are randomly selected. Please answer the following questions, and round all answers to 4 decimal places where possible and assume a normal distribution. For the 12 customers, find the probability that their average spent is less than $7.0400. Find the probability that the randomly selected 12 customers will spend less than $84.4800. For part e) and f), is the assumption of normal necessary? YesNo

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The average amount of money that people spend at Don Mcalds fast food place is $7.5200 with a standard deviation of $1.9400. 12 customers are randomly selected. Please answer the following questions, and round all answers to 4 decimal places where possible and assume a normal distribution.

  1. For the 12 customers, find the probability that their average spent is less than $7.0400.
  2. Find the probability that the randomly selected 12 customers will spend less than $84.4800.
  3. For part e) and f), is the assumption of normal necessary? YesNo
  4. The owner of Don Mcalds gives a coupon for a free sundae to the 3% of all groups of 12 people who spend the most money. At least how much must a group of 12 spend in total to get the free sundae? $
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