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 9 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 x_bar1 = 30 yards, with a standard deviation s, = 8 yards. The mean yardage for group 2 was x bar2 = 26 yards, with a standard deviation s, = 6 yards. Assume the two groups of kicks are independent. Let u1 and 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 and an airfilled football. Assume that two-sample t- procedures are safe to use. Suppose the researcher had wished to test the hypotheses. Suppose the researcher had wished to test the hypotheses Ho: H, = H2, Ha: p,> H The P-value for the test is (use the conservative Approach) Select one: O a. between 0.05 and 0.01. O b. below 0.01. O c. between 0.10 and 0.05. O d. larger than 0.10.

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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 9 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 x_bar1 =
30 yards, with a standard deviation s, = 8 yards. The mean yardage for group 2 was x_bar2 = 26 yards, with a standard deviation s, = 6 yards.
Assume the two groups of kicks are independent. Let u1 and u2 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 an airfilled football. Assume that two-sample t-
procedures are safe to use. Suppose the researcher had wished to test the hypotheses. Suppose the researcher had wished to test the
hypotheses
H,: H, = 2, Ha:P,>
The P-value for the test is (use the conservative Approach)
Select one:
O a. between 0.05 and 0.01.
O b. below 0.01.
O c. between 0.10 and 0.05.
O d. larger than 0.10.
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 9 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 x_bar1 = 30 yards, with a standard deviation s, = 8 yards. The mean yardage for group 2 was x_bar2 = 26 yards, with a standard deviation s, = 6 yards. Assume the two groups of kicks are independent. Let u1 and u2 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 an airfilled football. Assume that two-sample t- procedures are safe to use. Suppose the researcher had wished to test the hypotheses. Suppose the researcher had wished to test the hypotheses H,: H, = 2, Ha:P,> The P-value for the test is (use the conservative Approach) Select one: O a. between 0.05 and 0.01. O b. below 0.01. O c. between 0.10 and 0.05. O d. larger than 0.10.
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