Recall the following sample of incomes from the previous homework (measured in hun- dreds of dollars):

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Chapter1: Combinatorial Analysis
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Recall the following sample of incomes from the previous homework (measured in hun-
dreds of dollars):
261 269 271 274 279 280 283 284 286 287 292 293 296 300
329 341 343 356 364 391 417 476
304 305 313 321 322
322 329 341
(i) Suppose we want to know whether the median m of the income distribution is more
than 300. Based on the sample above, test Ho : m = 300 against H₁ : m > 300 at
significance level a = 0.05. Do not assume the income distribution is symmetric.
(ii) Redo the test, but assume the income distribution is symmetric.
Transcribed Image Text:Recall the following sample of incomes from the previous homework (measured in hun- dreds of dollars): 261 269 271 274 279 280 283 284 286 287 292 293 296 300 329 341 343 356 364 391 417 476 304 305 313 321 322 322 329 341 (i) Suppose we want to know whether the median m of the income distribution is more than 300. Based on the sample above, test Ho : m = 300 against H₁ : m > 300 at significance level a = 0.05. Do not assume the income distribution is symmetric. (ii) Redo the test, but assume the income distribution is symmetric.
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