Question

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? Select three choices. 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.

Answer 1

It is numbers 1, 2, and 3!

Explanation:

Answer 2

• 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.

Explanation:

Sample data

• 1 2 3 4 5 6
• 240 236 245 243 238 242

Mean = sum of sample data/sample frequency

• (240+236+245+243+238+242)/6 = 240.67

Answer choices:

The variation in the sample means makes it possible to make predictions about the population mean.

• Correct.

The actual population mean is greater than 236.

• Correct. 240.67 > 236

The actual population mean is less than 245.

• Correct. 240.67 < 245

The actual population mean is greater than 245

• Incorrect.

The population mean is the average of the sample means.

• Incorrect.