Find the critical value(s) and rejection region(s) for the indicated t-test, level of significance a, and sample size n. O t-Distribution Table Left-tailed test, a 0.01, n 16 A Click the icon to view the t-distribution table. Level of confidence, c 0.80 One tail, a Two tails, a 0.90 0.95 0.025 0.98 0.99 0.005 The critical value(s) is/are 0.10 0.05 0.01 (Round to the nearest thousandth as needed. Use a comma to separate answers as needed.) d.f. 0.20 0.10 d.f. 0.05 0.02 12.706 31.821 0.01 1 3.078 6.314 63.657 1. Determine the rejection region(s). Select the correct choice below and fill in the answer box(es) within your choice. (Round to the nearest thousandth as needed.) 2. 1.886 2.920 4.303 6.965 9.925 2. 3 1.638 2.353 3.182 4.541 5.841 3 O A. 1< O B. 1.476 2.015 3.365 4.032 OC. t> O D. t< 6. 1,440 1.943 2.447 3.143 3.707 6. 1.415 7. 1.895 1.860 1.833 2.365 2.998 3.499 3.355 6. 1.397 2.306 2.262 8. 2.896 8. 9. 1.383 2.821 3.250 2.228 2.764 3.169 3.106 3.055 10 1.372 1.812 10 11 1.363 1.796 2.201 2.718 11 12 1.356 1350 12 1.782 2.179 2.681 13 1.771 2.160 2.650 3.012 13 14 1.345 1.761 2.145 2.624 2.977 14 2.131 2.120 2.602 2.583 15 1341 1.753 2.947 15 1.337 1.746 1.70 16 2.921 16 1.333 2.898 17 2.110 2.101 2.567 2.552 17 18 1.330 1.734 2.878 18 19 1.328 1.729 2.093 2.539 2.861 19 20 1.325 1.725 2.086 2528 2.845 20 1.721 2.080 2.518 21 2.831 2.819 2.807 21 1.323 1.321 1.712 1.714 2508 22 23 2.074 2.069 2.064 22 23 2.500 1.319 1.318 1.711 2.492 2.797 24 24 25 2.485 2.787 25 1.316 1.315 1.708 1.706 2.060 2.056 26 2.479 2.779 26 Print Done Click to select your answer(s).

INFERENCE FOR SINGLE POPULATION PROPORTION (CONFIDENCE INTERVAL) 11. A random sample of 400 electronic components manufactured by a certain process is tested, and 30 are found to be defective. i. Let p be the proportion of defective components. Find a 95% confidence interval for p. ii. How many components must be sampled so that the 95% confidence interval will specify the proportion of defective components to within ±0.02? Source: Statistics for Engineers and Scientists, 3rd Edition, William, C. Navidi.

A survey was developed to estimate the average number of hours per week that adults spend exercising.  Every third person entering a large fitness complex was surveyed, with a total of 2,500 people being surveyed.  The data showed that the mean number of hours spent exercising was 3.2 hours per week.  Which characteristic of the survey could create a bias in the results?      The size of the sample  The size of the sample  The method of analyzing the data  The method of analyzing the data  The method of choosing the people who were surveyed  The method of choosing the people who were surveyed  The size of the population

Sample data were collected in a study of calcium supplements and their effects on blood pressure. A placebo group and a calcium group began the study with measures of blood pressures for each group. What test would be most appropriate, if you have non-normal data? Name of Test _____________________________________________