A sports commentator believes that a particular basketball player is just awful in road games but relatively effective at home. To test this claim, the commentator takes a random sample of 36 road games and 49 home games and collects the player’s scoring output in each game. He finds that in the 49 home games, the player averaged 12.3 points and his scoring output had a standard deviation of 2.6 points. Alternatively, in the 36 road games, the player averaged 8.9 points with a standard deviation of 5.6 points.
a. Specify the competing hypotheses to determine if the player has a higher scoring average in home games.
b. Calculate the value of the test statistic and the critical value at a 1% significance level. There is no reason to assume that the population variance of scoring output is equal for home and road games.
c. Does the evidence support the commentator’s claim at the 1% significance level?
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A sports commentator believes that a particular basketball player is just awful in road games but relatively effective at home. To test this claim, the commentator takes a random sample of 36 road games and 49 home games and collects the player’s scoring
A shoe company designed a low-top and high-top version of a particular shoe. One of the shoe-making engineers claims that the low-top version does not last as long as the high-top version before wearing out. To test this claim, she takes a sample of 36 low-top and 64 high-top wearers and asks each the length of time before their shoes wore out. She finds that the low-tops wore out in an average of 140 days, and the high-tops wore out...