The relationship between \"strength\" and \"fineness\" of cottonfibers was the subject of a study that produced the following data.(Give your answers correct to two decimal places.)
| x, Strength | 76 | 69 | 71 | 76 | 83 | 72 | 78 | 74 | 80 | 82 |
| y, Fineness | 4.3 | 4.7 | 4.5 | 4.0 | 4.1 | 4.0 | 5.0 | 4.9 | 4.1 | 4.3 |
(a) Draw a scatter diagram. (Do this on paper. Your instructormay ask you to turn in this work.)
(b) Find the 95% confidence interval for the mean measurement offineness for fibers with a strength of 74.
(c) Find the 95% prediction interval for an individual measurementof fineness for fibers with a strength of 74.
