An information-retrieval system has ten storage locations. Information has been stored with the expectation that the long-run

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An information-retrieval system has ten storage locations. Information has been stored with the expectation that the long-run proportion of requests for location i is given by pi = (5.5 - |i - 5.5|)/30. A sample of 200 retrieval requests gave the following frequencies for locations 1-10, respectively: 4, 15, 23, 25, 38, 31, 32, 14, 10, and 8. Use a chi-squared test at significance level .10 to decide whether the data is consistent with the a priori proportions.
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