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? Use a 0.05 level of significance and assume the population distributions are approximately normal with equal population variances.   Maximum Hotel Costs per Night ($) New York Los Angeles Atlanta Houston Phoenix 308 261 320 200 260 260 268 275 233 308 301 225 257 244 256 237 312 298 201 282 199 328 298 252 243   Step 1 of 2 :   Compute the value of the test statistic. Round any intermediate calculations to at least six decimal places, and round your final answer to four decimal places. Step 2 of 2: Draw a conclusion and interpret the decision. Fail or reject? Is there enough evidence?

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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? Use a 0.05 level of significance and assume the population distributions are approximately normal with equal population variances.
 
Maximum Hotel Costs per Night ($)
New York Los Angeles Atlanta Houston Phoenix
308 261 320 200 260
260 268 275 233 308
301 225 257 244 256
237 312 298 201 282
199 328 298 252 243
 
Step 1 of 2 :  
Compute the value of the test statistic. Round any intermediate calculations to at least six decimal places, and round your final answer to four decimal places.
Step 2 of 2: Draw a conclusion and interpret the decision. Fail or reject? Is there enough evidence?
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