A sports writer wished to see if a football filled with helium travels farther,

Question

A sports writer 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 eighteen 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 = 300 yards with a standard deviation = 8 yards. The mean yardage for Group 2 was = 296 yards with a standard deviation = 6 yards. Assume the two groups of kicks are independent. Let and 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- and air-filled football. Assuming two sample t procedures are safe to use, a 90% confidence interval for is a. 4

Explanation / Answer

4+ 11.2 yards, 4 - 11.2 yards. 100% sure

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