Final answer:
The sample mean is 8 hrs and the sample standard deviation is 2 hrs. Without the sample size (n), it is not possible to provide n or (n−1) for the student's question. Additional information is required to answer part (iii) and part (iv) of the question correctly.
Step-by-step explanation:
The student has provided data on the sample mean wait time as eight hours with a sample standard deviation of two hours. Part (a) of the question seems to ask for details regarding the sample statistics:
- (i) The sample mean, denoted as ˉxˉ, is the average wait time calculated from the sample. In this case, ˉxˉ = 8 hrs.
- (ii) The sample standard deviation, denoted as sx, measures the amount of variation or dispersion of a set of values. Here, sx = 2 hrs.
- (iii) The sample size, denoted as n, is the number of observations in the sample. The question doesn't provide this value, so it's impossible to give an exact number without it.
- (iv) The value of n−1 refers to the degrees of freedom used in calculations such as the Student's t-distribution, which is one less than the sample size (n−1). Without the sample size n, we cannot calculate n−1 either.
To accurately respond to section (iii) and (iv), information regarding the sample size is required, which has not been provided in the scenario described. It is necessary to know the number of observations (n) to determine the degrees of freedom (n−1) for statistical analyses.