Question

The average amount of money that people spend at Don Mcalds fast food place is $7.7500 with a standard deviation of $1.7200. 48 customers are randomly selected. Please answer the following questions, and round all answers to 4 decimal places where possible and assume a normal distribution. What is the distribution of X ? X ~ N( , ) What is the distribution of ¯ x ? ¯ x ~ N( , ) What is the distribution of ∑ x ? ∑ x ~ N( , ) What is the probability that one randomly selected customer will spend less than $7.7176? For the 48 customers, find the probability that their average spent is less than $7.7176. Find the probability that the randomly selected 48 customers will spend less than $370.4448. For part e) and f), is the assumption of normal necessary? YesNo The owner of Don Mcalds gives a coupon for a free sundae to the 4% of all groups of 48 people who spend the most money. At least how much must a group of 48 spend in total to get the free sundae? $

Answer #1

The average amount of money that people spend at Don Mcalds fast
food place is $7.7500 with a standard deviation of $1.7200. 48
customers are randomly selected. Please answer the following
questions, and round all answers to 4 decimal places where possible
and assume a normal distribution. What is the distribution of X ? X
~ N( , ) What is the distribution of ¯ x ? ¯ x ~ N( , ) What is the
distribution of ∑ x...

The average amount of money that people spend at Don Mcalds fast
food place is $7.2000 with a standard deviation of $1.5000. 15
customers are randomly selected. Please answer the following
questions, and round all answers to 4 decimal places where possible
and assume a normal distribution.
What is the distribution of XX? XX ~ N(,)
What is the distribution of ¯xx¯? ¯xx¯ ~ N(,)
What is the distribution of ∑x∑x? ∑x∑x ~ N(,)
What is the probability that one...

The average amount of money that people spend at Don Mcalds fast
food place is $7.7000 with a standard deviation of $1.8900. 46
customers are randomly selected. Please answer the following
questions, and round all answers to 4 decimal places where possible
and assume a normal distribution.
What is the distribution of XX? XX ~ N(,)
What is the distribution of ¯xx¯? ¯xx¯ ~ N(,)
What is the distribution of ∑x∑x? ∑x∑x ~ N(,)
What is the probability that one...

The average amount of money that people spend at Don Mcalds fast
food place is $7.3800 with a standard deviation of $1.6900. 48
customers are randomly selected. Please answer the following
questions, and round all answers to 4 decimal places where possible
and assume a normal distribution. What is the distribution of X X ?
X X ~ N(,) What is the distribution of ¯ x x¯ ? ¯ x x¯ ~ N(,) What
is the distribution of ∑ x...

The average amount of money that people spend at Don Mcalds fast
food place is $7.8100 with a standard deviation of $1.5600. 14
customers are randomly selected. Please answer the following
questions, and round all answers to 4 decimal places where possible
and assume a normal distribution.
What is the distribution of ¯xx¯? ¯xx¯ ~ N(,)
What is the distribution of ∑x∑x? ∑x∑x ~ N(,)
What is the probability that one randomly selected customer
will spend less than $7.8847?
For...

The average amount of money that people spend at McDonalds fast
food place is $7.4000 with a standard deviation of $1.6700. 11
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 ¯x? ¯x ~ N()
C.)What is the distribution of ∑x? ∑x ~ N(,)
D.)What is the probability that one randomly...

The average amount of money spent for lunch per person in the
college cafeteria is $6.31 and the standard deviation is $2.57.
Suppose that 13 randomly selected lunch patrons are observed.
Assume the distribution of money spent is normal, and 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(,)
For a single randomly selected lunch patron, find the
probability that...

Suppose that the amount of time that students spend studying in
the library in one sitting is normally distributed with mean 46
minutes and standard deviation 19 minutes. A researcher observed 9
students who entered the library to study. 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 distribution of ∑x∑x? ∑x∑x ~ N(,)
If one randomly selected student...

The average amount of money spent for lunch per person in the
college cafeteria is $7.42 and the standard deviation is $2.71.
Suppose that 16 randomly selected lunch patrons are observed.
Assume the distribution of money spent is normal, and 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( , )
For a single randomly selected lunch patron, find the...

The amount of coffee that people drink per day is normally
distributed with a mean of 16 ounces and a standard deviation of 7
ounces. 32 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 15.6 and 16.5 ounces of coffee per day?
For the 32...

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