The relationship between "strength" and "fineness of cotton fibers was the subject of a study that produced the following data (Give your answers correct to two decimal places.) Strength 76 69 71 76 83 72 78 74 802 Fineness 4.5 4.5 4.7 4.0 3.9 42 48 47 43 43 (a) Draw a scatter diagram. (Do this on paper. Your instructor may ask you to turn in this work.) (b) Find the 90% confidence interval for the mean measurement of fineness for fibers with a strength of 79, Lower Limit Upper Limit (c) Find the 90% prediction interval for an individual measurement of fineness for fibers with a strength of 29. Lower Lime Upper Limit You may need to use the appropriate table in Appendix B to answer this question Need Help? | 13. [2.31/7.72 Points] DETAILS PREVIOUS ANSWERS JKESTAT11 13.E.089. PRACTICE ANOTHER MY NOTES ASK YOUR TEACHER Twenty-one mature Bowers of a particular species were dissected, and the number of stamens and carpels present in each flower were counted. Stamens 52 68 70 38 61 51 56 65 43 37 36 74 38 35 45 72 59 60 73 76 68 Carpels 19 32 29 19 18 30 31 31 20 26 23 30 29 26 26 20 36 26 34 34 35 (a) Is there sufficient evidence to claim a linear relationship between these two variables at .057 (0) Find. (Give your answer correct to three decimal places.) (i) State the appropriate conclusion Reject the null hypothesis, there is not significant evidence to claim a linear relationship Reject the null hypothesis, there is significant evidence to claim a linear relationship O Fail to reject the null hypothesis, there is significant evidence to daim a linear relationship Fall to reject the null hypothesis, there is not significant evidence to claim a linear relationship (b) What is the relationship between the number of stamens and the number of carpels in this variety of flower? (Give your answers correct to two decimal places.) (c) is the slope of the regression line significant at a .05 (1) Find t. (Give your answer correct to two decimal places.) (3) Find the P-value (Give your answer bounds exactly) 0.001 x