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January 6th, 2017, 11:23 AM  #1 
Newbie Joined: Jan 2017 From: UK Posts: 2 Thanks: 0  Requesting long answer on GCSE Statistics Coursework please (hypothesis 2)
For my Statistics Coursework, I was given the topic weight and I had to choose two hypotheses to test. This is the data I am going to use: https://en.wikipedia.org/wiki/List_o...aft_of_Germany (I have also have the same list for UK) My hypothesis will be comparing the increase in top speed of fighter planes of Germany and the UK. I'm new to the terms null and alternate hypothesis, would it be something like this? : Null hypothesis – The Luftwaffe and UK both increased the top speed of their planes during WW2 at the same rate Alternate Hypothesis – The rate of change of top speed of fighter planes increased quicker in the UK than in the Luftwaffe Graphs/Calculations I have no idea how to compare this. I was considering doing some graph like this: https://i.ytimg.com/vi/uE0txDHYZUo/hqdefault.jpg Where the x values are the years in which the fighter planes were first flown and the y values the top speed of that plane. If I did this, how would I find the rate of change and then compare between UK and Germany? Which graphs/calculations could help with this hypothesis? (Although this is for GCSE, I wouldn’t mind doing much higher level calculations if they help.) If you think you could help with my other hypothesis, please visit: Requesting long answer on GCSE Statistics Coursework please (hypothesis 1) Last edited by skipjack; January 6th, 2017 at 02:48 PM. 
January 14th, 2017, 06:55 AM  #2 
Senior Member Joined: Dec 2012 From: Hong Kong Posts: 763 Thanks: 278 Math Focus: Linear algebra, linear statistical models 
Derive a linear trend model for each and use this Zstatistic (source): $\displaystyle Z = \frac{b_{1(UK)}  b_{1(De)}}{\sqrt{SE(b_{1(UK)})b_{1(UK)}^2+SE(b_{1( De)})b_{1(De)}^2}}$ 

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