In: Statistics and Probability
On sheet #2 is data on heating type and electric bill. Conduct an ANOVA test to determine whether heating type influences the cost of heating. Be prepared to state null and alternative hypotheses
| Heat Type | Bill | 
| Electric | $212.53 | 
| Electric | $176.61 | 
| Electric | $180.24 | 
| Electric | $156.77 | 
| Electric | $191.24 | 
| Electric | $185.51 | 
| Electric | $177.47 | 
| Electric | $179.53 | 
| Electric | $182.65 | 
| Electric | $217.65 | 
| Electric | $189.40 | 
| Electric | $198.51 | 
| Electric | $193.66 | 
| Electric | $235.43 | 
| Electric | $151.77 | 
| Electric | $173.03 | 
| Electric | $199.88 | 
| Electric | $239.11 | 
| Electric | $214.78 | 
| Electric | $201.19 | 
| Gas | $171.52 | 
| Gas | $142.27 | 
| Gas | $212.47 | 
| Gas | $176.49 | 
| Gas | $145.04 | 
| Gas | $188.48 | 
| Gas | $195.44 | 
| Gas | $163.78 | 
| Gas | $220.80 | 
| Gas | $211.48 | 
| Gas | $186.77 | 
| Gas | $137.60 | 
| Gas | $185.01 | 
| Gas | $155.06 | 
| Gas | $217.65 | 
| Gas | $173.55 | 
| Gas | $169.00 | 
| Gas | $143.71 | 
| Gas | $176.60 | 
| Gas | $218.38 | 
| Oil | $193.74 | 
| Oil | $182.20 | 
| Oil | $204.63 | 
| Oil | $185.21 | 
| Oil | $214.85 | 
| Oil | $213.80 | 
| Oil | $183.41 | 
| Oil | $201.71 | 
| Oil | $165.27 | 
| Oil | $165.65 | 
| Oil | $170.43 | 
| Oil | $139.74 | 
| Oil | $181.51 | 
| Oil | $184.46 | 
| Oil | $230.36 | 
| Oil | $171.80 | 
| Oil | $196.02 | 
| Oil | $173.61 | 
| Oil | $195.79 | 
| Oil | $179.32 |