We appreciate your visit to Summer high temperatures are distributed normally with a mean of 95 1 and a standard deviation of 3 1 Note Round your z score to. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
Final answer:
The summer high temperature that is the 84th percentile of this distribution is approximately 98.31.
Explanation:
To find the summer high temperature that is the 84th percentile of this distribution, we need to calculate the corresponding z-score and then convert it back to the actual temperature value.
- First, we calculate the z-score using the formula:
z = (x - mean) / standard deviation - Substituting the given values:
z = (x - 95.1) / 3.1 - Next, we need to find the z-score corresponding to the 84th percentile. Since the normal distribution is symmetric, we can use the standard normal distribution table or a calculator to find the z-score that corresponds to the area to the left of the 84th percentile, which is 0.84.
- Looking up the z-score in the standard normal distribution table, we find that the z-score is approximately 1.04.
- Now, we can solve for the temperature value:
1.04 = (x - 95.1) / 3.1 - Multiplying both sides by 3.1:
3.214 = x - 95.1 - Adding 95.1 to both sides:
x = 98.314
Therefore, the summer high temperature that is the 84th percentile of this distribution is approximately 98.31.
Learn more about calculating percentiles in a normal distribution here:
https://brainly.com/question/31035366
#SPJ11
Thanks for taking the time to read Summer high temperatures are distributed normally with a mean of 95 1 and a standard deviation of 3 1 Note Round your z score to. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!
- Why do Businesses Exist Why does Starbucks Exist What Service does Starbucks Provide Really what is their product.
- The pattern of numbers below is an arithmetic sequence tex 14 24 34 44 54 ldots tex Which statement describes the recursive function used to..
- Morgan felt the need to streamline Edison Electric What changes did Morgan make.
Rewritten by : Barada
