A study of North York University students showed the mean age of all students in the first year of university to be 20

A study of North York University students showed the mean age of all students in the first year of university to be 20.5 years old with a standard deviation of 0.91 years. A randomly selected subgroup of these first-year students also averaged 20.7 years in age with a standard deviation 0.93 years.

a) Are the numbers 20.5 and 0.91 statistics or parameters? Explain.

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

b) Are the numbers 20.7 and 0.93 statistics or parameters? Explain.

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

c) Select any correct pair of label and value below:

 

• ¯x=20.7 and s=0.91
• ¯x=20.5 and s=0.91
• μ=20.5 and s=0.93
• μ=20.7 and σ=0.91
• ¯x=20.7 and σ=0.91
• μ=20.5 and σ=0.93
• ¯x=20.5 and σ=0.91
• μ=20.7 and s=0.93