Given that a 95% confidence interval is (6.5, 12.5), we can state that there is a 95% probability that the true population mean is between 6.5 and 12.5

Let

μ = population mean

σ = population std. deviation.

n = sample size.

At 95% confidence level, the confidence interval is

(μ - 1.96y, μ + 1.96y),

where y = σ/√n.

Therefore

μ - 1.96y = 6.5 (1)

μ + 1.96y = 12.5 (2)

Add (1 and (2) to obtain

2μ = 19

μ = 9.5

The calculated value of μ is within the interval (6.5, 12.5).

Answer:

The statement "There is a 95% probability that the true population mean is between 6.5 and 12.5" is True.