Question

an amusement park conducted an internal audit on the wait times of its customers for the parks rides during a summer weekend. the parks head executive has doubts about the audits findings concerning the shooting star ride. he hires an inspector to check these findings. on a summer weekend, the inspector takes a sample of 12 people at random waiting in line for the shooting star. she records their wait times and finds that the sample mean is 33.1 minutes and the sample standard deviation is 2.3 minutes.
according to the internal audit, the wait times of the people waiting in line for the shooting star during a summer weekend had a population mean of 31.2 minutes with a population standard deviation of 2.5 minutes.
fill in the blanks below with the proper notation for the population mean, the sample mean, and the sample standard deviation.
population mean: = 31.2 minutes
sample mean: = 33.1 minutes
sample standard deviation: = 2.3 minutes

Explanation:

• The population mean is denoted by $\mu$.
• The sample mean is denoted by $\bar{x}$.
• The sample standard deviation is denoted by $s$.

Answer:

Population mean: $\mu = 31.2$ minutes
Sample mean: $\bar{x} = 33.1$ minutes
Sample standard deviation: $s = 2.3$ minutes