The monthly expenditures on grocery shopping for all households in a town has a mean of $400 and a standard deviation of 75. The distribution of these monthly expenditures is symmetric and bell-shaped. At what percentile would the person who spends $325 per month on groceries be at in the distribution? O 34th percentile O 50th percentile O 16th percentile O sth percentile
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.
![QUESTION 4
The monthly expenditures on grocery shopping for all households in a town has a mean of $400 and a standard deviation of 75. The distribution of
these monthly expenditures is symmetric and bell-shaped. At what percentile would the person who spends $325 per month on groceries be at in the
distribution?
34th
percentile
O 50th
percentile
16th
percentile
O 5th percentile](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fce5febb7-d3d7-4c2f-8983-ba36bb85d089%2F82fbd322-424c-41da-b1cd-44925bd2ccd0%2Fpn2jud_processed.jpeg&w=3840&q=75)
![](/static/compass_v2/shared-icons/check-mark.png)
Step by step
Solved in 2 steps with 2 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
![A First Course in Probability (10th Edition)](https://www.bartleby.com/isbn_cover_images/9780134753119/9780134753119_smallCoverImage.gif)
![A First Course in Probability](https://www.bartleby.com/isbn_cover_images/9780321794772/9780321794772_smallCoverImage.gif)
![A First Course in Probability (10th Edition)](https://www.bartleby.com/isbn_cover_images/9780134753119/9780134753119_smallCoverImage.gif)
![A First Course in Probability](https://www.bartleby.com/isbn_cover_images/9780321794772/9780321794772_smallCoverImage.gif)