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 18 adult male volunteers. These volunteers were randomly divided into two groups of nine men each. Group 1 kicked a football that was filled with helium to the recommended pressure. Group 2 kicked a football that was filled with air to the recommended pressure. The mean yardage for Group 1 was š = 300 yards with a standard deviation of s1 = 8 yards. The mean yardage for Group 2 was š2 = 296 yards with a standard deviation of s2 = 6 yards. Assume the two groups of kicks are independent. Let µj and µz 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.
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 18 adult male volunteers. These volunteers were randomly divided into two groups of nine men each. Group 1 kicked a football that was filled with helium to the recommended pressure. Group 2 kicked a football that was filled with air to the recommended pressure. The mean yardage for Group 1 was š = 300 yards with a standard deviation of s1 = 8 yards. The mean yardage for Group 2 was š2 = 296 yards with a standard deviation of s2 = 6 yards. Assume the two groups of kicks are independent. Let µj and µz 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.
MATLAB: An Introduction with Applications
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![What do we conclude about the gas filling a football at a = 10% ?
There is no difference between helium-filled footballs and air-filled footballs.
Helium-filled footballs go farther, on average.
Air-filled footballs go farther, on average.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F26bfaef9-2636-4fa3-bd3a-624a17085a59%2F555ccb58-2123-41bb-a9b0-af42d697f013%2F3fsy95w_processed.png&w=3840&q=75)
Transcribed Image Text:What do we conclude about the gas filling a football at a = 10% ?
There is no difference between helium-filled footballs and air-filled footballs.
Helium-filled footballs go farther, on average.
Air-filled footballs go farther, on average.
![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 18 adult male volunteers. These volunteers were randomly divided into two groups of nine men each.
Group 1 kicked a football that was filled with helium to the recommended pressure. Group 2 kicked a football that was filled
with air to the recommended pressure. The mean yardage for Group 1 was x1 = 300 yards with a standard deviation of s1
yards. The mean yardage for Group 2 was x2 = 296 yards with a standard deviation of s2 = 6 yards. Assume the two groups
of kicks are independent. Let µj and H2 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.
Assuming two-sample t procedures are safe to use and using Option 1 for the degrees of freedom, a 90% confidence interval
for µi - 42 is:
(-3.112, 11.112).
O (-1.848, 9.8477).
O (-1.82,9.8196).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F26bfaef9-2636-4fa3-bd3a-624a17085a59%2F555ccb58-2123-41bb-a9b0-af42d697f013%2Fwa42dt4_processed.png&w=3840&q=75)
Transcribed Image Text: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 18 adult male volunteers. These volunteers were randomly divided into two groups of nine men each.
Group 1 kicked a football that was filled with helium to the recommended pressure. Group 2 kicked a football that was filled
with air to the recommended pressure. The mean yardage for Group 1 was x1 = 300 yards with a standard deviation of s1
yards. The mean yardage for Group 2 was x2 = 296 yards with a standard deviation of s2 = 6 yards. Assume the two groups
of kicks are independent. Let µj and H2 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.
Assuming two-sample t procedures are safe to use and using Option 1 for the degrees of freedom, a 90% confidence interval
for µi - 42 is:
(-3.112, 11.112).
O (-1.848, 9.8477).
O (-1.82,9.8196).
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