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. A. What is the distribution of XX? XX ~ N(,) B. What is the distribution of ¯xx¯? ¯xx¯ ~ N(,) C. What is the distribution of ∑x∑x? ∑x∑x ~ N(,) D. What is the probability that one randomly selected customer will spend less than $7.9120? E. For the 46 customers, find the probability that their average spent is more than $7.9120. F. Find the probability that the randomly selected 46 customers will spend more than $363.9520. G. For part e) and f), is the assumption of normal necessary? YesNo h. The owner of Don Mcalds gives a coupon for a free sundae to the 5% of all groups of 46 people who spend the most money. At least how much must a group of 46 spend in total to get the free sundae? $
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
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
A. What is the distribution of XX? XX ~ N(,)
B. What is the distribution of ¯xx¯? ¯xx¯ ~ N(,)
C. What is the distribution of ∑x∑x? ∑x∑x ~ N(,)
D. What is the
E. For the 46 customers, find the probability that their average spent is more than $7.9120.
F. Find the probability that the randomly selected 46 customers will spend more than $363.9520.
G. For part e) and f), is the assumption of normal necessary? YesNo
h. The owner of Don Mcalds gives a coupon for a free sundae to the 5% of all groups of 46 people who spend the most money. At least how much must a group of 46 spend in total to get the free sundae? $
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