The average amount of money that people spend at Don Mcalds fast food place is $7.3500 with a standard deviation of $1.9700. 8 customers are randomly selected. Please answer the following questions, and round all answers to 4 decimal places where possible and assume a normal distribution. a. What is the distribution of X? X-NG b. What is the distribution of a? -N c. What is the distribution of a? - N d. What is the probability that one randomly selected customer will spend more than $6.7253? e. For the 8 customers, find the probability that their average spent is more than $6.7253. f. Find the probability that the randomly selected 8 customers will spend more than $53.8024. g. For part e) and f), is the assumption of normal necessary? O No Yes h. The owner of Don Mcalds gives a coupon for a free sundae to the 4% of all groups of 8 people who spend the most money. At least how much must a group of 8 spend in total to get the free sundae? $
The average amount of money that people spend at Don Mcalds fast food place is $7.3500 with a standard deviation of $1.9700. 8 customers are randomly selected. Please answer the following questions, and round all answers to 4 decimal places where possible and assume a normal distribution. a. What is the distribution of X? X-NG b. What is the distribution of a? -N c. What is the distribution of a? - N d. What is the probability that one randomly selected customer will spend more than $6.7253? e. For the 8 customers, find the probability that their average spent is more than $6.7253. f. Find the probability that the randomly selected 8 customers will spend more than $53.8024. g. For part e) and f), is the assumption of normal necessary? O No Yes h. The owner of Don Mcalds gives a coupon for a free sundae to the 4% of all groups of 8 people who spend the most money. At least how much must a group of 8 spend in total to get the free sundae? $
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![The average amount of money that people spend at Don Mcalds fast food place is $7.3500 with a standard
deviation of $1.9700. 8 customers are randomly selected. Please answer the following questions, and round all
answers to 4 decimal places where possible and assume a normal distribution.
a. What is the distribution of X? X - NG
b. What is the distribution of ? - N
c. What is the distribution of a? - N
d. What is the probability that one randomly selected customer will spend more than $6.7253?
e. For the 8 customers, find the probability that their average spent is more than $6.7253.
f. Find the probability that the randomly selected 8 customers will spend more than $53.8024.
g. For part e) and f), is the assumption of normal necessary? O No Yes
h. The owner of Don Mcalds gives a coupon for a free sundae to the 4% of all groups of 8 people who spend
the most money. At least how much must a group of 8 spend in total to get the free sundae? $
Hint:
Some Helpful Videos:
Finding the Sampling Distribution [+]
• Finding a Probability Using the Central Limit Theorem [+]
• Finding Value Given a Probability Using the Central Limit Theorem [+]
• The Central Limit Theorem For Sums [+]
Hint](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5d201130-f4f7-4c89-8a7d-8eb0f7158013%2Ff7c09d94-6574-4ebf-b7a0-0ead4a7b4cc0%2F6g687ed_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The average amount of money that people spend at Don Mcalds fast food place is $7.3500 with a standard
deviation of $1.9700. 8 customers are randomly selected. Please answer the following questions, and round all
answers to 4 decimal places where possible and assume a normal distribution.
a. What is the distribution of X? X - NG
b. What is the distribution of ? - N
c. What is the distribution of a? - N
d. What is the probability that one randomly selected customer will spend more than $6.7253?
e. For the 8 customers, find the probability that their average spent is more than $6.7253.
f. Find the probability that the randomly selected 8 customers will spend more than $53.8024.
g. For part e) and f), is the assumption of normal necessary? O No Yes
h. The owner of Don Mcalds gives a coupon for a free sundae to the 4% of all groups of 8 people who spend
the most money. At least how much must a group of 8 spend in total to get the free sundae? $
Hint:
Some Helpful Videos:
Finding the Sampling Distribution [+]
• Finding a Probability Using the Central Limit Theorem [+]
• Finding Value Given a Probability Using the Central Limit Theorem [+]
• The Central Limit Theorem For Sums [+]
Hint
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