ales that average delly high temperature in June in a particular city with a standard deviation of ande normal distribution, we use the following equation to convert (Favenhet) to C (Ce) Co (F-32) (a) Write the probability model for the distribution of temperature i *** (b) What is the probability of observing a 31°C (which roughly comesponds t using the "C model from part (a). (Round your (Round your (c) The probability of observing a 87.a temperature or higher c randomly selected day a different arewer in part (b)? Are you surprised? Explain Both sets of calculations produced approximately the same answer which isn't surpring since once O The two sets of calculations produced very different answers which it surprising since t O The two sets of calculations produced very different answers which surpring Beth sets of calculations produced approximately the same anceer which ist surprising since O The two sets of calculations produced very efferent answers which isn't surprising since the means different s approximately 63985, d you are the same afferent and the standard deviations a standard deviaters of the two the same bubursare

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
A reference states that average daily high temperature in June in a particular city is 86°F with a standard deviation of 7, and it can be assumed that they to follow a
normal distribution. We use the following equation to convert "F (Fahrenheit) to "C(Celsius)
C-(F-32)=²
(a) Write the probability model for the distribution of temperature in C in June in this city. (Round your standard deviation to four decimal places)
~~-[
(b) What is the probability of observing a 31°C (which roughly corresponds to 87.) temperature or higher a a randemily selected day in June in this city? Calculate
using the "C model from part (a). (Round your answer to four decimal places.)
(c) The probability of observing a 67.8°F temperature or higher on a randomly selected day in June this city is approximately 0.3983, Did you get the same answer or
a different answer in part (b)? Are you surprised? Explain.
Both sets of calculations produced approximately the same answer which isn't surprising since once we standardize the 2-scores are the same.
The two sets of calculations produced very different answers which isn't surprising since the conversion formula had to be applied to the numbers
O The two sets of calculations produced very different answers which isn't surprising since once we standardize the 2-scores are the different.
O Both sets of calculations produced approximately the same anewer which isn't surprising since the means and the standard deviations are the same.
O The two sets of calculations produced very different answers which isn't surprising since the
and the standard deviations of the two distributions are
different.
(d) Estimate the IQR of the temperatures (in C) in June in this city. (Round your answer to two decimal places.)
You may need to use the appropriate appendix table or technology to answer this question.
Transcribed Image Text:A reference states that average daily high temperature in June in a particular city is 86°F with a standard deviation of 7, and it can be assumed that they to follow a normal distribution. We use the following equation to convert "F (Fahrenheit) to "C(Celsius) C-(F-32)=² (a) Write the probability model for the distribution of temperature in C in June in this city. (Round your standard deviation to four decimal places) ~~-[ (b) What is the probability of observing a 31°C (which roughly corresponds to 87.) temperature or higher a a randemily selected day in June in this city? Calculate using the "C model from part (a). (Round your answer to four decimal places.) (c) The probability of observing a 67.8°F temperature or higher on a randomly selected day in June this city is approximately 0.3983, Did you get the same answer or a different answer in part (b)? Are you surprised? Explain. Both sets of calculations produced approximately the same answer which isn't surprising since once we standardize the 2-scores are the same. The two sets of calculations produced very different answers which isn't surprising since the conversion formula had to be applied to the numbers O The two sets of calculations produced very different answers which isn't surprising since once we standardize the 2-scores are the different. O Both sets of calculations produced approximately the same anewer which isn't surprising since the means and the standard deviations are the same. O The two sets of calculations produced very different answers which isn't surprising since the and the standard deviations of the two distributions are different. (d) Estimate the IQR of the temperatures (in C) in June in this city. (Round your answer to two decimal places.) You may need to use the appropriate appendix table or technology to answer this question.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 1 images

Blurred answer
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman