this is statistics course and I need help with answering these questions. I attached formulas in case you can use it as a reference.Thank you
II. Probability PM U B) = PM) + P(B] Pull n B) m = Lag?) Var-(X) = 0% = 2m 11:39-19: If X has a binomial distribution with parameters :1 and p, then: P(X = k) = (:)pt(1_ 13)": \"3:74!\" If E la the mean ofa random sample ofsize n from an innite population with mean p and standard deviation 0', then: T 0' \"i=7: III. Inferential Statistics Standardized test statistic: statistic - parameter standard deviation of statistic Confidence interval: statistic + (critical value) . (standard deviation of statistic) Single-Sample Statistic Standard Deviation of Statistic Sample Mean Sample Proportion p(1 - p) n Two-Sample Statistic Standard Deviation of Statistic Difference of sample means n2 Special case when 0 =02 Difference of P (1 - PI) + P2 (1 - P2) sample proportions n 1 n2 Special case when P = P2\fD Question 43 1 pts A statistician wishes to research the possible effect of reducing blood pressure by taking daily doses of aspirin. Researchers found 30 volunteers and measured their current blood pressure. They were then randomly assigned to one of two groups. Group 1 took an 81 mg dose of aspirin every night before bed and group 2 took a placebo pill that they believed to be aspirin every night. After two months, all participants had their blood pressure measured again, and the statistician compared the changes in blood pressure. Is this an experiment or an observational study? Explain. This is an experiment because the researcher randomly assigned treatments to each participant. This is an observational study because the researcher randomly assigned treatments to each participant. This is an experiment because some participants used a placebo. This is an observational study because some participants used a placebo. O This is an experiment because the researchers used randomness and a matched pairs design.J. O Adams 57 Arthur 51 L. Johnson 55 Jackson 61 Cleveland 47 Nixon 56 Van Buren 8 Harrison 55 Ford 61 W. H. Harrison 68 Cleveland Carter 52 Tyler 51 Mckinley Reagan 69 Polk 49 T. Roosevelt 42 G.H.W. Bush 64 Taylor 64 Tart 51 Clinton 47 Fillmore 50 Watson 56 G. W Bush 54 48 Harding 55 Obama 47 Pierce Buchanan 65 Coolidge 51 Source: OpenStax, Introductory Statistics. OpenStax CNX Download for free at http://cnx.org/contents/30189442-6998-4686-ac05- ed152b91b9de@18.10. 42, 51, 54.5, 57.5, 69; W. H. Harrison and Reagan are the outliers. O 40, 48, 54, 60, 69; W. H. Harrison and Reagan are the outliers. 40, 51, 54.5, 57.5, 69; Reagan is the only outlier. O 42, 51, 54.5, 57.5, 69; T. Roosevelt is the only outlier. 42, 48, 54, 60, 69; T. Roosevelt is the only outlier.D Question 42 1 pts The following table shows the ages of the presidents of the United States at their inauguration. State the five-number summary for this data and determine the outliers, if there are any. President Age President Age President Age Washington 57 Lincoln 52 Hoover 54 J. Adams 61 A. Johnson 56 F. Roosevelt 51 60 Jefferson 57 Grant 46 Truman Madison 57 Hayes 5-4 Eisenhower 62 58 Garfield Kennedy 43 Monroe J. Q. Adams 57 Arthur 51 L. Johnson 55 Jackson 61 Cleveland 47 Nixon 56 5-4 B. Harrison Ford 61 Van Buren 68 Cleveland Carter 52 W. H. Harrison Tyler Mckinley 54 Reagan 69 51 G.H.W. Bush 64 Polk 49 T. Roosevelt Taft 51 Clinton 47 Taylor 64 54 Fillmore 50 Wilson 56 G. W. Bush 545 Obama 47 Pierce 48 Harding Buchanan 65 Coolidge 51 Source: OpenStax, Introductory Statistics. OpenStax CNX Download for free at http://cnx.org/contents/30189442-6998-4686-ac05-D Question 40 1 pts A researcher is interested in studying the rate of heartworms in stray dogs and cats in the local area. They are able to acquire a dataset of animal intakes from the largest animal shelter in their area, and from this dataset, choose 100 stray dog and cat intakes at random. What is the sample, sampling frame, and population of this study, respectively? The 100 stray dogs and cats chosen at random from the dataset, the dataset of animal intakes from the local shelter, stray dogs and cats in the local area. Stray dogs and cats with heartworms, the 100 stray dogs and cats chosen at random from the dataset, stray dogs and cats in the local area. The 100 stray dogs and cats chosen at random from the dataset, the dataset of animal intakes from the local shelter, stray dogs and cats with heartworms. The dataset of animal intakes from the local shelter, stray dogs and cats in the local area, all stray dogs and cats nationwide. The number of stray dogs and cats found to have heartworms, the 100 stray dogs and cats chosen at random from the dataset, stray dogs and cats in the local area