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A: I am attaching image so that you understand each and every step.
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- A team of researchers working on the development of vaccines conducted a study on two vaccines. Thirty individuals participated in the study and were randomly assigned to two groups and one group received vaccine 1 and the other group vaccine 2. The researchers then measured the amount of antibody in the individuals' blood after ingestion, entered R and calculated some fish sizes that can be seen here below. x̄1 = 494,54, s1 =52,39, x̄2 = 467,93, s2 = 45,20, d = 26,61, sd = 68,69. Blood levels of antibodies can be expected to follow normal distribution. Use α = 0,05. c) What conclusion do you draw from the hypothesis test in point b about the possible difference in the mean amount of antibody after oral administration of the vaccines? d) The researchers also created a 95% confidence interval for the difference between the averages. Will the confidence interval contain the value 0? Justify your answer without calculating the confidence interval.e) Let us now assume that there is in fact…A team of researchers working on the development of vaccines conducted a study on two vaccines. Thirty individuals participated in the study and were randomly assigned to two groups and one group received vaccine 1 and the other group vaccine 2. The researchers then measured the amount of antibody in the individuals' blood after ingestion, entered R and calculated some fish sizes that can be seen here below. x̄1 = 494,54, s1 =52,39, x̄2 = 467,93, s2 = 45,20, d = 26,61, sd = 68,69. Blood levels of antibodies can be expected to follow normal distribution. Use α = 0,05. a) What is the value of the test size to check if there is a difference in the distribution of antibody levels for the two drugs?b) What is the value of the test size to check if there is a difference in the mean amount of antibody in the blood after taking the two vaccines?c) What conclusion do you draw from the hypothesis test in point b about the possible difference in the mean amount of antibody after oral…The defending attorney Mr. Justin Case was interested in how a lengthy trial could affect howlong a jury would deliberate on a case (and see if he should just cut to the chase). He observed asample of courtroom trials and noticed the following:Days inTrial (X) 5 2 6 4 5 6 2 4 2 1 HoursDeliberation (Y) 4 4 1 3 1 3 9 2 3 7 5) Mr. Case’s client’s most recent case took 10 days to complete. How long should he \ predict the jury deliberation will take?
- Do beavers benefit beetles? Researchers laid out 23 circular plots, each 4 meters in diameter, in an area where beavers were cutting down cottonwood trees. In each plot, they counted the number of stumps from trees cut by beavers and the number of clusters of beetle larvae. Ecologists think that the new sprouts from stumps are more tender than other cottonwood growth, so that beetles prefer them. If so, more stumps should produce more beetle larvae. The table contains the data. Stumps Beetle larvae 2 10 2 30 1 12 3 24 3 36 4 40 3 43 1 11 2 27 5 56 1 18 3 40 2 25 1 8 2 21 2 14 1 16 1 6 4 54 1 9 2 13 1 14 4 50 STATE: Choose the statement that best describes the goal of the research. A) Beetle larvae are the explanatory variable, and we expect an increase in beetle larvae to induce an increase in the response variable, the number of tree stumps. B) The number of tree stumps is the explanatory variable, and we expect an increase in…Farmers know that driving heavy equipment on wet soil compresses the soil and injures future crops. Here are data on the "penetrability" of the same type of soil at two levels of compression. Penetrability is a measure of how much resistance plant roots will meet when they try to grow through the soil. Compressed Soil: 2.85 3.082.6 2.822.95 2.782.82 2.982.76 3.002.81 2.782.78 2.963.08 2.902.94 3.182.86 3.16 Intermediate Soil: 3.13 3.543.32 3.363.1 3.183.40 3.123.38 3.863.14 2.923.18 3.463.26 3.442.96 3.623.02 4.26 Use the data, omitting the high outlier, to give a 96% confidence interval for the decrease in penetrability of compressed soil relative to intermediate soil. Compute degrees of freedom using the conservative method.Interval: ToA recent polls show that 61% of adult Americans are comfortable with the legalization of marijuana, with a margin of error of 2%. A) This implies that the percent of adult Americans that are comfortable with the legalization of marijuana is between what two values? B) Based on this poll, can we conclude that the majority of Americans are comfortable with the legalization of Marijuana?
- Cellulon, a manufacturer of home insulation, wants to develop guidelines for builders and consumers on how the thickness of the insulation in the attic of a home and the outdoor temperature affect natural gas consumption. In the laboratory, it varied the insulation thickness and temperature. A few of the findings are: Monthly Natural Gas Consumption (cubic feet), Y Thickness of Insulation (inches), X1 Outdoor Temperature (°F), X2 30.3 6 40 26.9 12 40 22.1 8 49 How much natural gas can homeowners expect to use per month if they install 6 inches of insulation and the outdoor temperature is 40 degrees F? Group of answer choices 36.69 cubic feet 30.30 cubic feet 30.89 cubic feet 33.69 cubic feetIf there is a small amount of variation, thenDescribe about the three positive relationships of Scatterplots?
- A 2017 study of over half a million eighth through 12th graders found that the number exhibiting high levels of depressive symptoms increased by 33 percent between 2010 and 2015. (a) What is the population of this study? (b) What is the sample of this study? Be clear to mark part (a) and (b) in your solution.At the beginning of 2018, a survey showed that a country with a total land area of 500,500 square kilometers had a population density of 483.3 per square kilometer. What was the total population during the survey? A. 96, 563,436 B. 182,086,700 C. 241,891,650 D. 350, 830,401 If the birth rate was 1.3%, how many individuals were born that year? A. 2,683,450 B. 3,144,591 C. 11,320,505 D. 22,463,682 If 612,300 individuals died on the same year, what was the death rate? A. 0.25% B. 0.5% C. 1.5% D. 2%Once down to about 15, the world’s only wild flock of whooping cranes now numbersa record 237 birds in its Texas Coastal Bend wintering ground (www.SunHerald.com).The average whooping crane egg weighs 208 grams. A new batch of randomly selectedeggs was recently weighed, and their weights are listed. Assume the variable isnormally distributed. 210 208.5 211.6 212 210.3210.2 209 206.4 209.7d. The world’s only wild flock of whooping cranes concludes that the weight is greaterthan 208 grams. Test the hypotheses using 99% confidence level and summarizeyour conclusion.
