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Determine the solution of the following IVP.
![(2a? – r2) dr = r³ sin Od0 ; r (0) = a
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- A researcher wondered if attainment within six years among students who receive grants as sart of their educational funding (Group 1) was lower than attainment within six years among students who did not receive grants as part of their educational funding (Group 2). Atainment is defined as whether the student earned the degree or certificate that heishe set out to eam upon enrolment. Complete parts (a) through (c) below. A. 2 1 Cannot be determined (c) In part (b), we learned that two groups (students who receive grants and students who do not receive grants) are being compared. In addition, the sampling method is independent. State the null and altemative hypotheses for this test Hg.A pharmaceutical company claims that after the clinical trials, it will release the first-ever cure for COVID-19. If they have committed an error of judgement, which type of error would they rather have, Type I or Type II? Why?COLUMBAN COLLEGE INC., OLONGAPO CITY SENIOR HIGH SCHOOL -BASIC EDUCATION DEPARTMENT ASINAN LEARNER'S MODULE Name of the Student Section: C No, it is unlikely reasonable that a 50 randomly selected SHS student would finish the examination in less than 43 minutes. STUDENT PLAYSHOP: WRITTEN WORKS General Directions: As a competent Columbanite, do the following activities for written works and performance tasks. Check Yourself! Solve the following problems. 1. The scores of individual students on a national test have a normal distribution with mean 18.6 and standard deviation 5.9. At Columban College, 76 students took the test. If the scores at this school have the same distribution as national scores, what are the mean and standard deviation of the sample mean for 76 students. (Assume that the population is infinite in each case). In 2015, the mean return of all common stocks on the Philippine Stock Exchange was 3-5%. 0 uns about 26%. A student of finance forms al
- The owner of a small clothing store is concerned that only 28% of people who enter her store actually buy something. A marketing salesman suggests that she invest in a new line of celebrity mannequins (think Seth Rogan modeling the latest jeans...). He loans her several different "people" to scatter around the store for a two-week trial period. The owner carefully counts how many shoppers enter the store and how many buy something so that at the end of the trial she can decide if she'll purchase the mannequins. She'll buy the mannequins if there is evidence that the percentage of people that buy something increases. a) Write the owner's null and alternative hypotheses. b) In this context describe a Type I error and the impact such an error would have on the store. c) In this context describe a Type II error and the impact such an error would have on the store. d) Based on data that she collected during the trial period the store's owner found that a 98% confidence interval for the…The 2019-2020 flu season was especially tough. By the end of the season, an estimated total of 49 million people in the United States had contracted the flu, of whom an estimated 79,000 died from the flu. Assume that the US population was 300,000,000 during the 2019-2020 flu season and that during the season, a total of 2.9 million Americans died from all causes (including the flu). Assume the population of the US remained the same at the midpoint of the season. Report mortality rates per 100,000. Be sure to express the measure in the correct format. a.What was the proportionate mortality rate from flu during the 2019-2020 flu season? b.What was the case fatality rate from flue during the 2019-2020 flu season?Harold is going to California over the Easter weekend and takes part in the Rock Festival of the people. He is an optimistic man and intends to sleep in a tent. He is worried about leaks in the tent, but to his great satisfaction, he came across an advertisement for material that the manufacturers claim reduces leakage in tents by spraying it on the outer layer of the tent. He was not convinced but found a study where the material was examined. In the study, leakage in five tents was measured. First, it was measured how much it leaked without the material too much and then how much it leaked after the material was sprayed on the outer layer in each tent. High numbers mean high leakage and low numbers low leakage. It can be assumed that measured leaks follow a normal distribution. The results can be seen below: Harold is also a big fan of R and he performed the following calculations in R: > x<-c(8.6,9.2,7.8,7.2,8.9) > y<-c(6.2,7.2,7.6,8.2,6.1) > mean(x)[1] 8.34 >…
- Need solution ASAP!!The 2019-2020 flu season was especially tough.By the end of the season, an estimated total of 49 million people in the United States had contracted the flu, of whom an estimated 79,000 died from the flu. Assume that the US population was 300,000,000 during the 2019-2020 flu season and that during the season, a total of 2.9 million Americans died from all causes (including the flu). Assume the population of the US remained the same at the midpoint of the season. Report mortality rates per 100,000. Be sure to express the measure in the correct format. c.What was the flu-related mortality rate during the 2019-2020 flu season? d.What is the all-cause mortality rate during the 2019-2020 flu season? e.In a country with an age distribution that is much younger than in the US, the proportionate mortality rate from flu in 2019 was 5%. Based on this information alone, can we determine that the risk of dying from flu in 2019 was higher in this country compared to the US? Why or why not?2. Rini prefers red M&Ms over any other color. The Mars Company, makers of M&Ms, claims that 20% of all M&Ms are red. Rini plans to remove M&Ms from her bag one at a time until she gets her first red. How many M&Ms should she expect to remove?
- Solve the General solution (Complementary + particular)If the response rate you would obtain by mailing all your customers (i.e., no model RR) is .035, and an RFM model you develop allows you to instead obtain a response rate of .05, then your lift is: 116.27 1,116.27 1.1627 another amount 11.627The mayor of a town has proposed a plan for the construction of an adjoining bridge. A political study took a sample of 900 voters in the town and found that 48% of the residents favored construction. Using the data, a political strategist wants to test the claim that the percentage of residents who favor construction is not equal to 51%. Testing at the 0.05 level, is there enough evidence to support the strategist's claim? Step 1 of 6 : State the null and alternative hypotheses.
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