To determine if a football filled with helium travels farther than a football filled with air, a matched pairs experiment was done. A novice kicker was given two footballs, one filled with helium and the other with the air, and asked to punt the two balls 10 times. The kicker was given the two footballs in a random order for each punt, and did not know which was filled with helium. The data from these trials is summarized below Each kick is measured in yards. Trial 1 2 ... 10 x-bar s Helium 25 16 ... 29 23.1 4.677 Air 25 23 ... 15 23.4 5.9 Difference 0 -7 ... 14 -0.3 7.103 Does this data provide significant
13.
To determine if a football filled with helium travels farther than a football filled with air, a matched pairs experiment was done. A novice kicker was given two footballs, one filled with helium and the other with the air, and asked to punt the two balls 10 times. The kicker was given the two footballs in a random order for each punt, and did not know which was filled with helium. The data from these trials is summarized below Each kick is measured in yards.
| Trial | 1 | 2 | ... | 10 | x-bar | s |
| Helium | 25 | 16 | ... | 29 | 23.1 | 4.677 |
|
Air |
25 | 23 | ... | 15 | 23.4 | 5.9 |
| Difference | 0 | -7 | ... | 14 | -0.3 | 7.103 |
Does this data provide significant evidence that a ball filled with helium will travel farther when punted than a ball filled with air? Use $\alpha = 0.05$ to test the hypotheses H0:μd=0 and .Ha:μd>0.
a. Yes, the data is significant at this level at this level so we reject the null hypothesis H_0 which assumes that on average there is no difference between the two balls in the distance travelled.
b.Yes, the data is significant at this level so we fail to reject the null hypothesis H_0which assumes that on average there is no difference between the two balls in the distance travelled.
c. No, the data is not significant at this level so we reject the null hypothesis H_0 which assumes that on average there is no difference between the two balls in the distance travelled.
d. No, the data is not significant at this level so we fail to reject the null hypothesis H_0 which assumes that on average there is no difference between the two balls in the distance travelled.
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