Question

5) Following are the published weights (in pounds) of all of the team members of Football Team A from a previous year.

176; 203; 211; 211; 232; 205; 185; 185; 178; 210; 206; 212; 184; 174;

185; 242; 188; 212; 215; 247; 241; 223; 220; 260; 245; 259; 278; 270;

280; 295; 275; 285; 290; 272; 273; 280; 285; 286; 200; 215; 185; 230;

250; 241; 190; 260; 250; 302; 265; 290; 276; 228; 265

Part (f)

If our population were all professional football players, would the above data be a sample of weights or the population of weights? Why?

a)The above data would be a population of weights because they represent all of the players on a team.

b)The above data would be a sample of weights because they represent all of the players from one year.    

c)The above data would be a population of weights because they represent all of the football players.

d)The above data would be a sample of weights because they represent a subset of the population of all football players.

Part (g)

If our population were Football Team A, would the above data be a sample of weights or the population of weights? Why?

a)The data would be a population of weights because they represent all of the professional football players.

b)The data would be a sample of weights because they represent all of the professional football players.    

c)The data would be a population of weights because they represent all of the players on Football Team A.

d)The data would be a sample of weights because they represent all of the players on Football Team A.

Assume the population was Football Team A. Find the following. (Round your answers to two decimal places.)

(i) the population mean, μ

(ii) the population standard deviation, σ

(iii) the weight that is 3 standard deviations below the mean

(iv) When Player A played football, he weighed 200 pounds. How many standard deviations above or below the mean was he?

                         standard deviations -( above or below) the mean

Answer 1