Question

an amusement park conducted an internal audit on the wait times of its customers for the parks rides during a summer weekend. the audit found that the wait times of customers for the shooting star ride had a population mean of 21.7 minutes with a population standard deviation of 2.9 minutes. 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 15 people at random waiting in line for the shooting star. she records their wait times and finds that the sample mean is 20.3 minutes and the sample standard deviation is 2.6 minutes. fill in the blanks below with the proper notation for the population mean, the sample mean, and the sample standard deviation. population mean: select = 21.7 minutes sample mean: select = 20.3 minutes sample standard deviation: select = 2.6 minutes

Explanation:

Step1: Recall population - mean notation

The population mean is denoted by $\mu$.

Step2: Recall sample - mean notation

The sample mean is denoted by $\bar{x}$.

Step3: Recall sample - standard - deviation notation

The sample standard deviation is denoted by $s$.

Answer:

Population mean: $\mu = 21.7$ minutes
Sample mean: $\bar{x}=20.3$ minutes
Sample standard deviation: $s = 2.6$ minutes