O London New York convert the statistics a descriptive for , London Temperature

Question

O London New York convert the statistics a descriptive for , London Temperature London to Fahrenheit and explain whether Temperature Temperature (Fahrenheit) (Celsius) (Fahrenheit) they support the hypothesis. Think Observations 365 365 carefully about how statistic changes each Mean 1.7 7 6. by scaling the data (x 1.8) and adding a constant (32). Standard 4.9 18.6 deviation For example, the mean temperature in London will be 11.7 x 1.8 % 32 - 9.36 Varance 24.3 344.2 32 - 4136°F a EE | Minimum 1.0 21.0 Moreover, the variance in Fahrenheit will be 1.82 % 24.3 = 78.732 degrees Fahrenheit squared , 50.0 Median 12.0 65.0 B. The correlation between the London temperature in Celsius and the New York temperature in Fahrenheit is 0.81. Q3 15.0 80.0 Maximum 29.0 95.0 What is the correlation if we measure both temperatures in Fahrenheit? Range Too on 30,0 What is the correlation if we measure both temperatures in Celsius? Interquartile range (iar) 7.0 30.0 Write a paragraph explaining your answer Coefficient of variation (ev) 42.0 29.1

Explanation / Answer

Solution:

Step 1 of 3:

Here we are given with some data regarding the descriotive statistics of weather conditions of Londom and Newyork.

Also, here the hypothesis under consideration is given.

Uisng the given data we need to obtain the required values.

Step 2 of 3:

(a)

Here we need to convert the descritive statistics of London into Fahrenheat scale.

The descriptive statistic are converted to fahrenheat by multipling it by 1.8 and adding 32 to it.

So, the descriptive statistic becomes

mean=53.06 degree F

standard deviation=40.82 degree F

variance=78.732

minimum=30.2 degree F

Q1=46.6 degree F

median=53.6 degree F'

Q3=59 degree F

maximum=84.2 degree F

range=86 degree F

IQR=44.6 degree F

CV=107.6 degree F

now, we can say that London is warmer if the mean temperature is high here.But the temperature in London is less than that of Newyork and also the variance is less in London.So we can say that it is less volatile.

But since only one of the condition is satisfied we can say that the data does not support the given hypothesis.

Step 3 of 3:

(b)

We know that correlation coefficient is independent of units in which the variables are measured.

So, the correlation coefficient of temperature in London and Newyork remains the same if the tempertaures are measured in celcius or in fahrenheat scale.

That is the correlation coefficient is 0.81 in all the cases.

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