Question

e. Did you find that the sample mean ? represents the true population mean μ? Answer ‘yes’ or ‘no’, and Considering your answer in #1e, can you say that the data in Table C5-1 can be used to represent the true mean of all Customer Experience Ratings for Cruise Burmuda cruises? and explain your answer in a cell within your Excel file.

Mean	4.157894737	Standard Deviation	0.898341552

Passenger ID	Rating (1-5)
T025	5
T045	5
T065	4
T085	5
T105	5
T125	4
T145	5
T165	4
T185	4
T205	3
T245	5
T265	3
T285	5
T305	3
T325	4
T345	4
T365	2
T385	5
T405	4

Answer 1

(first part) Yes, sample mean represents the true population mean μ.

Of course the sample mean will not equal the population mean. But the sample mean is an unbiased estimate of the population mean.

(Second part) Yes,  data in Table C5-1 can be used to represent the true mean of all Customer Experience Ratings for Cruise Burmuda cruises.

Here we should assume that sample should be random and proper care has been taken to select unit in the sample.