How do I find out how to solve these problems. I need some step by step guidance. The average amount of money spent for lunch per person in the college cafeteria is $6.69 and the standard deviation is $2.82. Suppose that 8 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 this patron's lunch cost is between $5.3645 and $5.973. For the group of 8 patrons, find the probability that the average lunch cost is between $5.3645 and $5.973. For part d), is the assumption that the distribution is normal necessary? NoYes
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.
How do I find out how to solve these problems. I need some step by step guidance.
The average amount of money spent for lunch per person in the college cafeteria is $6.69 and the standard deviation is $2.82. Suppose that 8 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 this patron's lunch cost is between $5.3645 and $5.973.
- For the group of 8 patrons, find the probability that the average lunch cost is between $5.3645 and $5.973.
- For part d), is the assumption that the distribution is normal necessary? NoYes
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