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The following table shows the total points scored in 16 football games played during week 1 of the season in a youth football league. Use the data to complete parts a through e below.

22,26,34,54,64,49,24,30,45,57,39,46,38,23,19,36. 

a. Calculate the mean for this population.

b. Calculate the sampling error using the first four games in the first row as your sample.

c. Calculate the sampling error using all eight games in the first row as your sample. The sampling error for the first eight games is 0.

d. How does increasing the sample size affect the sampling error?

C. In general, increasing the sample size makes the sampling error smaller.

e. Using a sample of size four, what is the largest sampling error that can be observed from this population?