In: Statistics and Probability
In this problem, assume that the distribution of differences is
approximately normal. Note: For degrees of freedom
d.f. not in the Student's t table, use
the closest d.f. that is smaller. In
some situations, this choice of d.f. may increase
the P-value by a small amount and therefore produce a
slightly more "conservative" answer.
Do professional golfers play better in their last round? Let row
B represent the score in the fourth (and final) round, and
let row A represent the score in the first round of a
professional golf tournament. A random sample of finalists in the
British Open gave the following data for their first and last
rounds in the tournament.
B: Last | 74 | 66 | 75 | 71 | 71 | 72 | 68 | 68 | 74 |
A: First | 69 | 67 | 62 | 71 | 65 | 71 | 71 | 71 | 71 |
Do the data indicate that the population mean score on the last
round is higher than that on the first? Use a 5% level of
significance. (Let d = B − A.)
What is the value of the sample test statistic? (Round your answer
to three decimal places.)
In this problem, assume that the distribution of differences is
approximately normal. Note: For degrees of freedom
d.f. not in the Student's t table, use
the closest d.f. that is smaller. In
some situations, this choice of d.f. may increase
the P-value by a small amount and therefore produce a
slightly more "conservative" answer.
The artifact frequency for an excavation of a kiva in Bandelier
National Monument gave the following information.
Stratum | Flaked Stone Tools | Nonflaked Stone Tools |
1 | 10 | 4 |
2 | 9 | 3 |
3 | 8 | 3 |
4 | 1 | 3 |
5 | 4 | 7 |
6 | 38 | 32 |
7 | 51 | 30 |
8 | 25 | 12 |
Does this information indicate that there tend to be more flaked stone tools than nonflaked stone tools at this excavation site? Use a 5% level of significance. (Let d = flaked − nonflaked.)
What is the value of the sample test statistic?