Given this information: A study found that the average American buys 4.6 movie t

Question

Given this information: A study found that the average American buys 4.6 movie tickets per year, compared to just 1.9 for the average Spaniard. The values represent the number of movie ticket purchases reported by 100 American respondents. Assume that this is the population we are interested in for our further study and we will select samples from. Consider the 100 observations to represent a population, hence the mean for the 100 observations can now be labeled as µ .

Sample 1: Random sample (20)

Sample 2: Perioc sample (k=5)

tickets: 2 3 3 3 5 2 1 5 4 3 7 8 4 5 4 4 5 5 5 6 7 5 5 8 4 3 5 9 2 3 6 6 3 3 5 3 6 2 12 9 2 8 6 4 5 6 7 1 10 4 6 3 5 4 7 5 1 4 7 4 7 0 5 5 4 5 6 5 5 5 2 1 3 2 4 4 6 5 7 5 4 6 4 4 5 7 1 4 1 3 2 7 6 2 5 5 4 7 5 3. Average:4.6

Sample: 1 7 4 6 6 4 6 5 5 5 3 3 8 1 5 7 7 6 3 6 4. Average:5.05

Sample: 2 5 3 4 6 4 3 5 9 5 4 7 4 4 5 4 5 5 3 5 3. Average:4.65

a) To two decimal places, compare the first sample mean with the second sample mean. Are the values identical? Would you expect them to be?

b) How do the two sample means compare to the mean of the 100 data values (i.e. the population mean, µ )? If the sample means are different from the population mean, what do we call this discrepancy?

Explanation / Answer

a) To two decimal places, compare the first sample mean with the second sample mean. Are the values identical? Would you expect them to be?

the average of the sample 1 with sample 2 are very different as you can see the sample 1 has an average of 4.6

and the average of sample 2 is 5.05

b)

this call difference between the sample means and all I need is that there is no other name that I know!

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