confidence interval/t test/hypothesis question

Please use the t table for these questions.

see image for full question and t table to use for this question . step by step please.

question! : Blood pressure of patients est . of population = 84.69 mean (sample ) given the est of standard following deviation ( sample ) = 13. 019 N = 170 Construct a 99%. Confidence interval for team populate of blood pressure of population of patients State & chede ( in context ) the appropriate Conditions & assumptions for validity of confidence interval and hypothesis test for population tea Blood pressure of patients, ") A doctor suspend that the average Black pressure of population of patients is more flan 82 mnig ( units of blood pressure). State appropriate lypothesiss ( define any symbols) lined ) to perform a leypotter's test to if there is evidence to support suspine banned on the data gives above. Calculate appropride test statistic for testing hypothesis. 9 Based on d) 'sfind Pual of test & mule meangfat concludes at 1% significance levelUpper One Tailed Lower One Talked Two Tallied t-distribution Critical Values 0.05 0.02 0.01 Two-tail probability 0.20 0.1 0.05 0.025 0.01 0.005 One-tail probability 0.10 df 3.078 6.314 12.706 31.821 63.657 2.920 6.965 9.925 1.886 4.303 1.638 2.353 3.182 4.541 5.841 1.533 2.132 2.776 3.747 4.604 1.476 2.015 2.571 3.365 4.032 1.440 1.943 2.447 3.143 3.707 1.415 1.895 2.365 2.998 3.499 1.397 1.860 2.306 2.896 3.355 1.383 1.833 2.262 2.821 3.250 10 1.372 1.812 2.228 2.764 3.169 11 1.363 1.796 2.201 2.718 3.106 12 1.356 1.782 2.179 2.681 3.055 13 1.350 1.771 2.160 2.650 3.012 14 1.345 1.761 2.145 2.624 2.977 15 1.341 1.753 2.131 2.602 2.947 16 1.337 1.746 2.120 2.583 2.921 17 1.333 1.740 2.110 2.567 2.898 18 1.330 1.734 2.101 2.552 2.878 19 1.328 1.729 2.093 2.539 2.861 20 1.325 1.725 2.086 2.528 2.845 21 1.323 1.721 2.080 2.518 2.831 22 1.321 1.717 2.074 2.508 2.819 23 1.319 1.714 2.069 2.500 2.807 24 1.318 1.711 2.064 2.492 2.797 25 1.316 1.708 2.060 2.485 2.787 26 1.315 1.706 2.056 2.479 2.779 27 1.314 1.703 2.052 2.473 2.771 28 1.313 1.701 2.048 2.467 2.763 29 1.311 1.699 2.045 2.462 2.756 30 1.310 1.697 2.042 2.457 2.750 35 1.306 1.690 2.030 2.438 2.724 40 1.303 1.684 2.021 2.423 2.704 50 1.299 1.676 2.009 2.403 2.678 100 1.290 1.660 1.984 2.364 2.626 500 1.283 1.648 1.965 2.334 2.586 1000 1.282 1.646 1.962 2.330 2.581 10O 1.282 1.645 1.960 2.327 Confidence levels 2.576 80% 90% 95% 98% 99%