D Question 1 9 pts The following TI-84 Plus calculator display presents a 95% confidence interval for the difference between two means. The sample sizes are n1 = 85 and n2 = 71. 2-SameTInt (9. 8059, 12. 998) df=113. 2701584 x1=49. 81472 x2=38. 41269 Sx1=3. 69057 Sx2=5. 89133 01=85 n2=71 a) We are % confident that the the difference between two means is between and Do not round. b) The point estimate, /1 - /2 = Do not round. c) The margin of error, m = Round to the nearest 5th decimal place. d) Use the information calculated to construct a 98% confidence interval for #1 - /2. We are % confident that the population proportion is between and Do not round. e) Based on the confidence interval, is it reasonable to assume that the difference between two means could be /1 - /2 = 7. (choose yes or no)D Question 2 16 pts The following TI-84 Plus display presents the results for a series of experiments to determine the absorption rate of certain pesticides into skin, two pesticides were applied to several skin specimens. After a time, the amounts absorbed (in micrograms) were measured. For pesticide 1, the variance of the amounts absorbed in 6 specimens was 2.3, while for pesticide 2, the variance of the amounts absorbed in 10 specimens was 0.6. Assume that for each pesticide, the amounts absorbed are a simple random sample from a normal population. 2-SameFTest -3. 833426299 P-. 0387586595 SX1=1.5166 5x15. 7746 ns-6 na=1 a) State the null and alternate hypotheses. Ho : 61 #2 (choose , =, or =/=) H1 : 61 #2 (choose , =, or =/=) b) The value of the test statistic is Do not round. c) The P-value is Do not round. d) The critical value at the a = 0.05 significance level is Round to the nearest thousandth (3 decimal places). e) Should we reject Ho at the a = 0.05 significance level? Since test statistic (choose , or =) critical value, we should (choose Reject or Fail to Reject) Ho Since P-value (choose , or =) a = 0.05, we should (choose Reject or Fail to Reject) Ho We can we conclude that the standard deviation of the amount absorbed is (choose greater or same) for pesticide 1 than for pesticide 2 at the a = 0.05 significance level. f) Should we reject Ho at the a = 0.01 significance level? The critical value at the a = 0.01 significance level is Round to the nearest thousandth (3 decimal places). Since test statistic (choose , or =) critical value, we should choose Reject or Fail to Reject) Ho Since P-value (choose , or =) a = 0.01, we should (choose Reject or Fail to Reject) Ho We can we conclude that the standard deviation of the amount absorbed is choose greater or same) for pesticide 1 than for pesticide 2 at the a = 0.01 significance level