A study of North York College students showed the mean age of all students in the first year of college to be 19.9 years old with a standard deviation of 1.16 years. A randomly selected sample of these first year students also averaged 20.2 years in age with a standard deviation 1.14 years. a) Are the numbers 19.9 and 1.16 statistics or parameters? Explain. The numbers are statistics because the numbers were calculated for all North York College's first year students. The numbers are parameters because they were calculated for all North York College's first year students. The numbers are statistics because the numbers were calculated for a sample of North York College students and are therefore estimates. The numbers are parameters because the numbers were calculated for a sample of North York College students and are therefore estimates. b) Are the numbers 20.2 and 1.14 statistics or parameters? Explain. The numbers are statistics because the numbers were calculated for all North York College's first year students. The numbers are parameters because they were calculated for all North York College's first year students. The numbers are statistics because the numbers were calculated for a sample of North York College students and are therefore estimates. The numbers are parameters because they were calculated for a sample of North York College students and are therefore estimates. c) Select all correct symbol/value pair below (more than one may correct): ¯x=19.9x¯=19.9 and s=1.16s=1.16 ¯x=19.9x¯=19.9 and σ=1.16σ=1.16 μ=20.2μ=20.2 and σ=1.16σ=1.16 μ=19.9μ=19.9 and σ=1.14σ=1.14 ¯x=20.2x¯=20.2 and s=1.16s=1.16 μ=20.2μ=20.2 and s=1.14s=1.14 ¯x=20.2x¯=20.2 and σ=1.16σ=1.16 μ=19.9μ=19.9 and s=1.14

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A study of North York College students showed the mean age of all students in the first year of college to be 19.9 years old with a standard deviation of 1.16 years. A randomly selected sample of these first year students also averaged 20.2 years in age with a standard deviation 1.14 years.

a) Are the numbers 19.9 and 1.16 statistics or parameters? Explain.

  • The numbers are statistics because the numbers were calculated for all North York College's first year students.
  • The numbers are parameters because they were calculated for all North York College's first year students.
  • The numbers are statistics because the numbers were calculated for a sample of North York College students and are therefore estimates.
  • The numbers are parameters because the numbers were calculated for a sample of North York College students and are therefore estimates.

b) Are the numbers 20.2 and 1.14 statistics or parameters? Explain.

  • The numbers are statistics because the numbers were calculated for all North York College's first year students.
  • The numbers are parameters because they were calculated for all North York College's first year students.
  • The numbers are statistics because the numbers were calculated for a sample of North York College students and are therefore estimates.
  • The numbers are parameters because they were calculated for a sample of North York College students and are therefore estimates.

c) Select all correct symbol/value pair below (more than one may correct):

  • ¯x=19.9x¯=19.9 and s=1.16s=1.16
  • ¯x=19.9x¯=19.9 and σ=1.16σ=1.16
  • μ=20.2μ=20.2 and σ=1.16σ=1.16
  • μ=19.9μ=19.9 and σ=1.14σ=1.14
  • ¯x=20.2x¯=20.2 and s=1.16s=1.16
  • μ=20.2μ=20.2 and s=1.14s=1.14
  • ¯x=20.2x¯=20.2 and σ=1.16σ=1.16
  • μ=19.9μ=19.9 and s=1.14
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