Q 8.2RP. - Elementary Statistics

Question

Answer true or false to the following statement, and give a reason for your answer: If a $95\%$ confidence interval for a population mean. $\mathit{\mu }$, is from $33.8$ to $39.0$, the mean of the population must lie somewhere between $33.8$ and $39.0$

Step-by-Step Solution

Answer

False.

Step 1: Read the Statement

We must determine if the statement is true or false:
Answer true or false to the following statement, and give a reason for your answer: If a 95% confidence interval for a population mean. μ, is from 33.8 to 39.0, the mean of the population must lie somewhere between 33.8 and 39.0

Step 2: Analyze the Statement

We examine the claim using relevant definitions, properties, or theorems.

Step 3: Conclusion

False.