In: Statistics and Probability
The average amount of money that people spend at Don Mcalds fast food place is $7.3300 with a standard deviation of $1.5500. 43 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 ∑x ? ∑ x ∑x ~ N(,)
What is the probability that one randomly selected customer will spend less than $7.5254?
For the 43 customers, find the probability that their average spent is more than $7.5254.
Find the probability that the randomly selected 43 customers will spend less than $323.5922.
For part e) and f), is the assumption of normal necessary? NoYes
The owner of Don Mcalds gives a coupon for a free sundae to the 3% of all groups of 43 people who spend the most money. At least how much must a group of 43 spend in total to get the free sundae? $