A random sample of 100 weights of Californians is obtained, and the last digits of those weights are
A random sample of 100 weights of Californians is obtained, and the last digits of those weights are summarized in Table 11-2 (based on data from the California Department of Public Health). When obtaining weights of subjects, it is extremely important to actually measure their weights instead of asking them to report their weights. By analyzing the last digits of weights, researchers can verify that they were obtained through actual measurements instead of being reported. When people report weights, they tend to round down and they often round way down, so a weight of 197 lb might be rounded and reported as a more desirable 170 lb. Reported weights tend to have many last digits consisting of 0 or 5. In contrast, if people are actually weighed, the weights tend to have last digits that are uniformly distributed, with 0, 1, 2, . . . , 9 all occurring with roughly the same frequencies. We could subjectively examine the frequencies in Table 11-2 to see that the digits of 0 and 5 do seem to occur much more often than the other digits, but we will proceed with a formal hypothesis test to reinforce that subjective conclusion. Test the claim that the sample is from a population of weights in which the last digits do not occur with the same frequency. Based on the results, what can we conclude about the procedure used to obtain the weights? Apr 06 2022 11:33 AM
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