Question

The results of a survey comparing the costs of staying one night in a full-service hotel (including food, beverages, and telephone calls, but not taxes or gratuities) for several major cities are given in the following table. Do the data suggest that there is a significant difference among the average costs of one night in a full-service hotel for the five major cities? Maximum Hotel Costs per Night ($) New York Los Angeles Atlanta Houston Phoenix 289 196 184 292 262 345 214 242 296 262 348 216 333 337 305 277 192 298 257 258 266 262 195 217 199 Step 1 of 2 : Find the value of the test statistic to test for a difference between cities. Round your answer to two decimal places, if necessary.

Answer 1

New York	Los Angeles	Atlanta	Houston	Phoenix
289	196	184	292	262
345	214	242	296	262
348	216	333	337	305
277	192	298	257	258
266	262	195	217	199

Anova: Single Factor

SUMMARY

Groups	Count	Sum	Average	Variance
New York	5	1525	305	1502.5
Los Angeles	5	1080	216	774
Atlanta	5	1252	250.4	4159.3
Houston	5	1399	279.8	2036.7
Phoenix	5	1286	257.2	1429.7

ANOVA Table

Source of Variation	SS	df	MS	F	P-value	F crit
Between Groups	22194.64	4	5548.66	2.801731	0.053668	2.866081
Within Groups	39608.8	20	1980.44
Total	61803.44	24

test statistic F = 2.801

for a given significance level of 0.05, p-value is more than 0.05, we fail to reject null hypothesis at alpha = 0.05, and there is no significant evidence to conclude that the average costs of one night in a full-service hotel for the five major cities is different.