Comparing scales: In an experiment to determine whether there is a systematic difference between the weights obtained with two different scales, 10 rock specimens were weighed, in grams, on each scale. The following data were obtained: Specimen Weight on Scale 1 Weight on Scale 2 1 13.48 13.19 2 16.94 16.43 3 9.66 9.52 4 11.13 11.47 5 26.93 26.22 6 10.52 10.73 7 15.09 14.74 8 6.86 6.72 9 13.27 12.95 10 22.48 22.64 Send data to Excel Let 1, represent the mean weight on Scale 1 and [L; = l,. Can you conclude that the mean weight on Scale 1 is greater than the mean weight on Scale 2? Use the o= 0.10 level of significance. Part 1 of 5 (a) State the null and alternate hypotheses. Hy: | | O0 O=0O _J- O=0 Hg This hypothesis test is a |(Choose one) V | test. X ) H,: Part: 1 /5 N Part 2 of 5 Find the critical value. Round the answer to three decimal places. If there is more than one critical value, separate them with commas. The critical value(s): ' ' a0 2F] X S Part 3 of 5 (b) Compute the test statistic. Round the answer to at least three decimal places. - X 5 Part: 3 /5 e Part 4 of 5 Determine whether to reject H,,. (Choose one) V | the null hypothesis. Part 5 of 5 (c) State a conclusion. There | (Choose one) |enough evidence to conclude that the the mean weight on Scale 1 is greater than the mean weight on Scale 2