Determine the P-value.
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 out the sample mean of these observations to be μ = 8.76
What is the value of the P-value?
A) 0 C) 0.1075
B) 0.0066 D) 0.2676