In this problem, assume that the distribution of differences isapproximately normal. Note: For degrees of freedomd.f. not in the Student's t table, usethe closest d.f. that is smaller. Insome situations, this choice of d.f. may increasethe P-value by a small amount and therefore produce aslightly more \"conservative\" answer.
Do professional golfers play better in their last round? Let rowB represent the score in the fourth (and final) round, andlet row A represent the score in the first round of aprofessional golf tournament. A random sample of finalists in theBritish Open gave the following data for their first and lastrounds 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 lastround is higher than that on the first? Use a 5% level ofsignificance. (Let d = B − A.)
What is the value of the sample test statistic? (Round your answerto three decimal places.)
In this problem, assume that the distribution of differences isapproximately normal. Note: For degrees of freedomd.f. not in the Student's t table, usethe closest d.f. that is smaller. Insome situations, this choice of d.f. may increasethe P-value by a small amount and therefore produce aslightly more \"conservative\" answer.
The artifact frequency for an excavation of a kiva in BandelierNational Monument gave the following information.
| Stratum | Flaked StoneTools | Nonflaked StoneTools |
| 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 flakedstone tools than nonflaked stone tools at this excavation site? Usea 5% level of significance. (Let d = flaked −nonflaked.)
What is the value of the sample test statistic?
