- In Industrial Settings Alternative Methods Often Exist For Measuring Variables Of Interest The Data Shown In The Accom 1 (9.69 KiB) Viewed 26 times
- X Data table 7.57 Sample In-Line Analytical lab 1 5.34 5.41 2 7.28 3 7.46 7.52 4 5.18 5.19 5 7.23 7.42 6 7.80 7.78 7 5.64 5.45 8 7.31 7.43 9 7.49 7.62 10 5.66 5.51 11 7.51 7.45 12 7.40 7.57 13 7.44 7.54 14 8.01 8.02 15 6.21 6.25 000 OWN Print Done
a. At the 0.10 level of significance, is there evidence of a difference in the mean measurements in-line and from an analytical lab? Let , be the mean measurements in-line and let 2 be the mean measurements from an analytical lab. State the null and alternative hypotheses. Choose the correct answer below. O A. Ho: Hp = 0 (where Pp = P4/H2) H:HD 0 O C. Ho Ho *0 (where up =H1-H2) H:Hp = 0 E. Ho Hp = 0 (where Wp = H1-H2) H:Hp *0 OB. Ho: Pp = 0 (where HD = 1/2) H:HD 20 OD. Ho Hp = 0 (where Hp =H1-H2) H:Hp > 0 OF. Ho: Hp = 0 (where Hp = H1-H2) H:Hp <0 The test statistic is ISTAT = - .38 (Round to two decimal places as needed.) The p-value is .713 (Round to three decimal places as needed.) Since the p-value is greater than the value of a, do not reject Ho. There is insufficient evidence of a difference in the mean measurements. b. What assumption is necessary about the population distribution in order to perform this test? O A. It must be assumed that the distribution of the differences between the measurements is approximately uniform. B. It must be assumed that the distribution of the differences between the measurements is approximately normal. OC. It must be assumed that the distribution of the differences between the measurements is skewed. c. Use a graphical method to evaluate the validity of the assumption in (a). Construct a boxplot of the differences. Choose the correct graph below. OA ОВ. C. Boxplot Boxplot Boxplot . 1 Q } 1 1 1 1 -0.4 -0.2 0.4 -0.4 -0.2 0.2014 -0.4'-02'd 0 0.2 Difference 0.4 0 Difference -0.2 0.2 Difference
Does the assumption needed in order to conduct the t test in (a) appear to be valid? O A. Yes, the boxplot is approximately symmetric. B. No, the boxplot is approximately symmetric. C. No, the boxplot indicates skewness. OD. Yes, the boxplot indicates skewness. d. Construct and interpret a 90% confidence interval estimate of the difference in the mean measurements in-line and from an analytical lab. -0.080's Ho s 0.052 (Round to three decimal places as needed.) Interpret this interval. Choose the correct answer below. m A. With 90% confidence, the difference in the mean measurements in-line and from an analytical lab falls in this interval. B. With 90% confidence, the mean measurements in-line and from an analytical lab fall in this interval. C. With 10% confidence, the difference in the mean measurements in-line and from an analytical lab falls in this interval. OD. With 10% confidence, the mean measurements in-line and from an analytical lab fall in this interval.