Chin researched the body weight, in pounds, of professional football players. He created a table of different sample means from his data. Sample Sample Mean (pounds) 1 240 2 236 3 245 4 243 5 238 6 242 Which statements are true? Check all that apply. The variation in the sample means makes it possible to make predictions about the population mean. The actual population mean is greater than 236. The actual population mean is less than 245. The actual population mean is greater than 245. The population mean is the average of the sample means. The range of the sample means is less than 10.

Question

Mathematics

Sage Best

28 June, 03:06

Chin researched the body weight, in pounds, of professional football players. He created a table of different sample means from his data. Sample Sample Mean (pounds) 1 240 2 236 3 245 4 243 5 238 6 242 Which statements are true? Check all that apply. The variation in the sample means makes it possible to make predictions about the population mean. The actual population mean is greater than 236. The actual population mean is less than 245. The actual population mean is greater than 245. The population mean is the average of the sample means. The range of the sample means is less than 10.

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Evelin Myers · Answer 1

To be able to select the answer/s from the given choices, it is best to first determine the mean of the data by dividing the sum of the data by the number of data. The sum of the weight in pounds is equal to 1444. Dividing this by 6, we get an answer of 240.67.

Thus, the mean is greater than 236. It is also lesser than 245.

For the range, the minimum weight is 236 and the maximum weight is 245 giving only a range of 9. Thus, the range is less than 10.