Description
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 s1 = 8 yards. The mean yardage for
Group 2 was = 26 yards with a standard
deviation s2 = 6 yards. Assume that the two
groups of kicks are independent. Let μ1and μ2 represent
the mean yardage we would observe for the entire population represented by
the volunteers if all members of this population kicked, respectively, a
helium-filled football and an air-filled football. Let σ1 and σ2 be
the corresponding population standard deviations. |
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Explanation & Answer
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