Question

at the end of last year, the head nurse of a large commercial airline voiced a concern that ticketed passengers drank too highly experienced of the airline’s pilots (the total flying time per pilot). to check these allegations, a federal watchdog organization examined the flight records of a random sample of 33 of the airline’s pilots. the pilots in the sample, as of the end of last year, had a sample mean experience of 3342 hours with a sample standard deviation of 862 hours. the airline’s personnel stated that, at the end of last year, the airline’s pilots had a population mean experience of 3488 hours of flight with a population standard deviation of 836 hours. fill in the blanks below with the proper notation for the population standard deviation, the sample mean, and the sample standard deviation. population standard deviation: select ∇ = 836 hours sample mean: select ∇ = 3342 hours sample standard deviation: select ∇ = 862 hours

Explanation:

Step1: Recall Population Standard Deviation Symbol

The population standard deviation is denoted by $\sigma$. The problem states the population standard deviation is 8.10 hours, so we use $\sigma$.

Step2: Recall Sample Mean Symbol

The sample mean is denoted by $\bar{x}$. The sample mean here is 3342 hours, so we use $\bar{x}$.

Step3: Recall Sample Standard Deviation Symbol

The sample standard deviation is denoted by $s$. The sample standard deviation here is 862 hours, so we use $s$.

Answer:

Population standard deviation: $\boldsymbol{\sigma}$ = 8.10 hours
Sample mean: $\boldsymbol{\bar{x}}$ = 3342 hours
Sample standard deviation: $\boldsymbol{s}$ = 862 hours