Determine the value of test statistic to estimate the population mean.
Assume we wish to test the hypotheses H_{0}: μ = 10 versus H_{a}: μ < 10, where μ represents the mean age of non-high school aged children who are members of a large gymnastics club in a metropolitan area. Assume age follows a normal distribution with σ = 2. A random sample of 16 ages is drawn from the population, and we find the sample mean of these observations to be μ = 8.76
What is the value of test statistic?
A) z = -0.62 C) z = -2.48
B) z = -1.24 D) z = -9.92