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My friends living in London claim the weather in London is much warmer and less

ID: 3130605 • Letter: M

Question

My friends living in London claim the weather in London is much warmer and less volatile than in New York. To analyze this hypothesis, I gathered the daily temperatures for New York and London during the year 2015.

The table below presents the descriptive statistics. However, the cities cannot be compared because New York temperatures are measured in degrees Fahrenheit while the London temperatures are measured in Celsius. Recall that Fahrenheit = 32 + 1.8 x Celsius.

Convert the descriptive statistics for London to Fahrenheit and explain whether they support the hypothesis. **Think carefully about how each statistic is impacted by scaling the data (x 1.8) and adding a constant (32). dont just plug into equation first make sure it fits with the scaling**

JFK LHR Celsius 365 11.7 4.9 LHR Temperature Temperature Temperature Fahrenheit (Fahrenheit 365 365 63.7 18.6 344.2 (c) 21.0 50.0 Observations Mean (a Standard deviation Variance 24.3 Minim um 30.2 Q1 8.0 46.4 Median 12.0 65.0 Q3 15.0 29.0 30.0 7.0 42.0 80.0 Maximum 95.0 74.0 30.0 29.1 Range 54.0 Interquartile range Coefficient of variation

Explanation / Answer

a) 53.06 F

b) 40.82

c) 75.74

d) 53.60

e) 59.00

f) 84.20

g) 44.60

h) 107.60

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