Part 3: Below you will be provided with scenarios followed by several statements. You are to determine if each statement must be true, must be false, or if it is unknown if they are true or false. Write “True” in the blank if the statement must be true, write “False” in the blank if the statement must be false, and write “unknown” in the blank if it is not possible to tell if the statement is true or false.

Question

Part 3: Below you will be provided with scenarios followed by several statements.  You are to determine if each statement must be true, must be false, or if it is unknown if they are true or false.  Write “True” in the blank if the statement must be true, write “False” in the blank if the statement must be false, and write “unknown” in the blank if it is not possible to tell if the statement is true or false.

A field of pumpkins is ready to be harvested. The farmer claims the mean weight of the pumpkins in the field is 10 pounds. To test the claim a random sample of 40 pumpkins are selected and provided a sample mean weight of 10.7 pounds. Using a level of significance of 0.05, the final statement of the test was “There is not enough evidence to claim that the mean weight of all pumpkins in this field is not 10 pounds”.

A) ________________The test statistic was negative.
B) ________________ The mean weight of all the pumpkins in the field is 10 pounds.

A)   ________________The test statistic was negative. 
B)   ________________ The mean weight of all the pumpkins in the field is 10 pounds.

GPT-4o mini · Answer

A) **False** - Since the sample mean (10.7 pounds) is greater than the hypothesized mean (10 pounds), the test statistic is likely to be positive. B) **Unknown** - The statement "The mean weight of all the pumpkins in the field is 10 pounds" is not necessarily true or false based on the information provided; the test result indicates insufficient evidence to reject the null hypothesis, but it does not confirm that the mean is exactly 10 pounds.