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 - N( b. What is the distribution of æ? - N( c. What is the distribution of æ? a - N( d. What ie the probability tha

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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 - N(
b. What is the distribution of ? - N(
c. What is the distribution of x? ) x - N(
С.
n...
d. What is the probability that one randomly selected customer will spend more than $6.7253?
Mi
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 NoO 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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11
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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 - N( b. What is the distribution of ? - N( c. What is the distribution of x? ) x - N( С. n... d. What is the probability that one randomly selected customer will spend more than $6.7253? Mi 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 NoO 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 Submit Question 11 W PAGES 107,695 OCT LEGO 28 MacBook Air
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