Determine which of the following statements is true.
A sportswriter wished to see if a
football filled with helium travels farther, on average, than a football
filled with air. To test this, the writer used 18 adult male volunteers.
These volunteers were randomly divided into two groups of nine subjects each.
Group 1 kicked a football filled with helium to the recommended pressure.
Group 2 kicked a football filled with air to the recommended pressure. The
mean yardage for Group 1 was = 30 yards with a standard
deviation s_{1} = 8 yards. The mean yardage for
Group 2 was = 26 yards with a standard
deviation s_{2} = 6 yards. Assume that the two
groups of kicks are independent. Let μ_{1}and μ_{2} represent
the mean yardage we would observe for the entire population represented by
the volunteers if all members of this population kicked, respectively, a
heliumfilled football and an airfilled football. Let σ_{1} and σ_{2} be
the corresponding population standard deviations. 


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