Question

Suppose that you are responsible for making arrangements for a business convention and that you have been charged with choosing a city for the convention that has the least expensive rooms. You have narrowed your choices to Atlanta and Houston. The table below contains samples of prices for rooms in Atlanta and Houston. Because considerable historical data on the prices of rooms in both cities are available, the population standard deviations for the prices can be assumed to be $37 in Atlanta and $29 in Houston.

Atlanta	Houston	Atlanta	Houston	Atlanta	Houston	Atlanta
105	145	120	150	110	90	100
90	110	105	60	60	125	125
70	65	100	105	95	120	75
125	75	75	105	115	120	100
105	70	95	75	90	135	100
120	115	70	110	125	60
125	70	60	110	95	90
60	90	105	120	65	65
115	85	65	70	85	145
90	145	115	100	100	70

Based on the sample data, can you conclude that the mean price of a hotel room in Atlanta is lower than one in Houston? Use a = .05 and null hypothesis is H₀ : μA - μB ≥ 0 . Enter negative values as negative numbers.

z-value (to two decimals):

p-value (to four decimals):

Answer 1

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