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- We wish to demonstrate that the average time to graduate from school is afected by the students who have taken AP calculus in hgh school. Specially, we wish to demonstrate the students who have taken AP calculus in high school graduate an average of more than .25 years sooner than students who have not taken AP calculus in high school. If we let μ1 denote the average time to graduate for students who have not taken AP calculus and μ2 dentoe the average time to graduate for students who have taken AP calculus, what is the apropriate null hypothesisWe wish to demonstrate that the average time to graduate from Tulane is affected by the students having taken AP calculus in high school. Specially, we wish to demonstrate that students who have taken AP calculus in high school graduate an average of more than 0.25 years sooner than students who have not taken AP calculus in high school. If we let denote the average time to graduate for students who have not taken AP calculus and denotes the average time to graduate for students who have taken AP calculus, then select the appropriate alternative hypothesis.The cashier line of a canteen can facilitate up to 60 customers an hour. Frequenters of the canteen arrive at an average of 50 an hour. Suppose that management wants to evaluate the desirability of opening a second order-processing station so that two customers can be served simultaneously. Assume a single waiting line with the first customer in line moving to the first available server. a. What is the average arrival time in minutes of customers? b. What is the average service time in minutes of the canteen? c. What is the probability that the canteen has a customer?
- Figures obtained from a city's police department seem to indicate that of all motor vehicles reported as stolen, 63% were stolen by professionals (P), whereas 37% were stolen by amateurs (primarily for joy rides) (A). Of the vehicles presumed stolen by professionals, 25% were recovered within 48 hours (R<48), 23% were recovered after 48 hours (R>48), and 52% were never recovered (N). Of the vehicles presumed stolen by amateurs, 33% were recovered within 48 hours, 63% were recovered after 48 hours, and 4% were never recovered. (b) What is the probability that a vehicle stolen by a professional in this city will be recovered within 48 hours?(c) What is the probability that a vehicle stolen in this city will never be recovered? (Round your answer to four decimal places.)Among the adult population of a certain town 50 per cent are males. 60 per cent are wage earners and 50 per cent are., 45 years of-age or over, 10 per cent of the males are not wage-earners and 40'per cent Of the males are u1ll/er 45. Make the best possible inferenc~ about the limits within which the percentage of persons (male or female) of 45 years or over are wage- earners.The cashier line of a canteen can facilitate up to 60 customers an hour. Frequenters of thecanteen arrive at an average of 50 an hour. Suppose that management wants toevaluate the desirability of opening a second order-processing station so that twocustomers can be served simultaneously. Assume a single waiting line with the firstcustomer in line moving to the first available server.a. What is the average arrival time in minutes of customers?b. What is the average service time in minutes of the canteen?c. What is the probability that the canteen has a customer?d. What is the probability that the canteen does not have any customer?e. How long would the line be on average (average number of customers in thesystem)?f. How many people are waiting to be served on average?g. How long in minutes would it take the customer from lining up until he leaves thewaiting line?h. How long in minutes would a customer wait to be served on average?i. Find the probability that there are 7 customers in the…
- A drug manufacturer claims that a drug of its own production is 90% effective in relieving allergies for 8 hours. In a sample of 200 people with allergies, the drug relieved pain in 160 of them. Is the manufacturer's claim true on the level of morale? 1%.Suppose now that you have good arguments to say that the association between X andC (the unobserved confounding factor, here IQ at age 3), measured by γCX, is of a similarmagnitude as the association between X and A, measured by γAX — which you can computein your data (since A is observed). Would this new condition (γCX = γAX). Why?We wish to demonstrate that the average time to graduate from college is affected by the students having taken AP calculus in high school. Specifically we wish to demonstrate that students who have taken AP calculus in high school gradate an average of at most 0.25 years sooner than students who have not taken AP calculus in high school. If we let μ1 demote the average time to graduate for students who have not taken AP calculus and μ2 denote the average time to graduate for students who have taken AP calculus, then select the appropriate alternative hypothesis: a. μ1-μ2 = 0 b. μ1-μ2-0.25 < 0 c. μ1-μ2-0.25>0 Please explain
- A researcher wants to explore the differences in health effects from two different types of sugar. She hypothesizes that artificial sweetener has lower long term health benefits than natural sugar. What is her null hypothesis? Fill in the blank. H0: μArtificalSweetener__________ μNaturalSugar Group of answer choices a) Less than b) Less than or equal to c) Greater than d) Greater than or equal toSuppose that you randomly selected 26 adults. Assume 17% of the population smoke. Round all answers to 2 decimal places.a) Using the Range Rule of Thumb, what is the minimum number of usual smokers we can expect to get out of 26 adults?b) Using the Range Rule of Thumb, what is the maximum number of usual smokers we can expect to get out of 26 adults?c) Would it be unusual to randomly select 26 adults and get 10 smokers? Yes, since 10 is not between the maximum and minimum usual values. No, since 10 is between the maximum and minimum usual values.Suppose that a manufacturer is testing one of its machines to make sure that the machine is producing more than 97% good parts (H0: p = 0.97 and Ha : p > 0.97).The test results in a P-value of 0.102. In reality, the machine is producing 99% good parts.What probably happens as a result of our testing? We correctly fail to reject H0.We reject H0, making a Type I error. We correctly reject H0.We fail to reject H0, making a Type I error.We fail to reject H0, making a Type II error.