Assume that the readings on the thermometers are normally distributed with a mean of 0° and standard deviation of 1.00°C. A thermometer is randomly selected and tested. Draw a sketch and find the temperature reading corresponding to P90, the 90th percentile. This is the temperature reading separating the bottom 90% from the top 10%. Click to view page 1 of the table. Click to view page 2 of the table. Which graph represents Pgo? Choose the correct graph below. OA. OB. OC. OD. The temperature for Pgo is approximately (Round to two decimal places as needed.)
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.
![Assume that the readings on the thermometers are normally distributed with a mean of 0°C and a standard deviation of 1.00°C. A thermometer is randomly selected and tested. Draw a sketch and find the temperature reading corresponding to P₉₀, the 90th percentile. This is the temperature reading separating the bottom 90% from the top 10%.
- **Click to view page 1 of the table. Click to view page 2 of the table.**
### Which graph represents P₉₀? Choose the correct graph below.
- **Option A:** A graph showing a normal distribution curve with the right tail shaded.
- **Option B:** A graph showing a normal distribution curve with the right tail shaded, similar to Option A.
- **Option C:** A graph showing a normal distribution curve with a different segment shaded, possibly to the right of the mean.
- **Option D:** A graph showing a normal distribution curve with a different segment shaded, possibly to the right of the mean.
*The task is to identify which graph corresponds to the 90th percentile (P₉₀) of the distribution.*
### The temperature for P₉₀ is approximately ___.
*(Round to two decimal places as needed.)*
In the graphs, look for the shading on the right side, representing the area under the curve that corresponds to the top 10% of the distribution, which will help in identifying P₉₀.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe2e363c5-2472-4cf7-839e-3830821f17e5%2Ff5ead827-3a15-45b0-8b65-31ef6aa91ebc%2Ffq6pmn_processed.png&w=3840&q=75)
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