Since 2008 Airbnb has been popular among hosts and travelers due to unique travelling possibilities it offers. A marketing researcher is interested in understanding average price per night for a private room for neighborhoods around New York city.

He collected data on the rental price per night for 45 private room rentals in 5 neighborhoods around New York city (Manhattan, Bronx, Brookline, Queens, and Staten Island).

He then used a one-way ANOVA model to test whether the mean rental price per night for a private room around New York city (NYC) depends on the neighborhood.

The incomplete ANOVA table is given below.

1. Write down the null and the alternative hypotheses for testing whether or not the mean price per night for a NYC private room depends on the neighborhood. Clearly define any parameters you might use
2. Compute the 3 degrees of freedoms missing in the ANOVA table (i.e. DF for neighborhood, error DF and total DF)
3. Compute Error Sums of squares missing (i.e. AdjSS for Error)
   

Factor Information Factor Levels Values neighborhood 5 Bronx, Brooklyn, Manhattan, Queens, Staten Island Analysis of Variance Source DF Adj SS Adj MS F-Value P-Value neighborhood 69367 0.000 Error Total 70524 Model Summary S R-sq R-sq(adj) R-sq(pred) 5.37904 98.36% 98.19% 97.92%