(5) Modern cars provide 'blind-spot monitoring', a light which activates when an adjacent car is detected. Unfor-tunately, the system is not perfect. Given that another car is in the blind spot, the blind-spot light is activated99.9% of the time. However, the system sometimes accidentally activates even when another car is not in the blindspot, this occurs 3% of the time. Assume that another car is in one's blind spot 2% of the time.(a) What is the probability that another car is actually in the blind-spot given the light is on?(b) Given the blind-spot light is off, how often is another car in the blind spot?

Let us first define the following events. On : light is on Off : light is off Bs…

Answered: (5) Modern cars provide 'blind-spot…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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The viruses causing problems in strawberry plants are mainly spread by one insect, the strawberry aphid. Carly believes that as aphids feed on leaves, they transmit viruses that can cause a rapid decrease in plant growth. She decides to verify whether or not the number of strawberry aphids found on a plant could be linked to its growth. She therefore randomly chooses 5 strawberry plants at the same stage of development in a virus-infested garden. For each individual plant, she first collects all the aphids present on the plant and weighs them, and then weighs the entire plant to have a measure of plant growth. She obtains the following data. (Attach on side) Is Carly correct in thinking that when the number of aphids on a plant is larger, the growth of the plant is affected (i.e., its weight is smaller)? Apply the appropriate statistical method with a test of significance at α = 0.05.
Suppose next that we have even less knowledge of our patient, and we are only given the accuracy of the blood test and prevalence of the disease in our population. We are told that the blood test is 99 percent reliable, this means that the test will yield an accurate positive result in 99% of the cases where the disease is actually present. Gestational diabetes affects 9+1 percent of the population in our patient’s age group, and that our test has a false positive rate of 9+4 percent. Use your knowledge of Bayes’ Theorem and Conditional Probabilities to compute the following quantities based on the information given only in part 2: If 100,000 people take the blood test, how many people would you expect to test positive and actually have gestational diabetes? What is the probability of having the disease given that you test positive? If 100,000 people take the blood test, how many people would you expect to test negative despite actually having gestational diabetes? What is the…
A researcher conducted the first four steps of an Independent ANOVA, and on step 4 he Rejected H0, concluding that the drug had some overall effect. However, as we learned, Rejecting H0 is not really enough to call your study a “success” on ANOVA; you still need to check several more things in Step 5 and Step 6. So, let’s say the researcher gets the following APA table on Step 5. In which of the following cases would the drug shown on this APA table be considered a “success”? Small Dose of Drug Medium Dose of Drug High Dose of Drug M 27.00 22.00 11.00 SD 1.00 1.73 1.00 chocies More than one of the other three options could be considered a “success” with the APA table shown If the study was investigating a memory-improving pill where the D.V. is memory score If the study was investigating a pain-reduction pill where the D.V. is pain levels If the study was investigating a depression-fighting medication where the D.V. is depression
Can you please help me with this step because I am having a difficult time with this and can you do it step by step
A clinician interested in agoraphobia (fear of public places) tests a new treatment method. She samples five agoraphobics from her clinic and has them report how many times they ventured out of their houses (on their own) in the past month. They then received relaxation training and were introduced to trips away from their homes at gradually increasing durations. After 2 months, subjects again reported how many times they ventured (on their own) out of their houses. The data are below. Assess whether there is a significant change in trips outside the home from before to after therapy. a. Report and interpret an effect size b. what type of error might you be making?
Patients diagnosed with retinopathy (disease of the retina) were admitted into a study where they were randomly assigned to one of the two treatments and monitored for 6 years. The study found that 143 of the 352 patients assigned to the conventional treatment (group 1) showed an improvement of their disease. Whereas 177 of the 363 patients assigned to the intensive treatment (group 2) had improvement of the disease. Suppose you are hypothesizing that the intensive treatment (Group 2) is more effective than the conventional treatment (Group 1) but hypotheses are written in the form of Group 1-Group 2. Conducting a test of significance (at a 5%) with the hypotheses you chose from Question 9, you calculated a p-value equal to which made you decide to O A) 0.9861; fail to reject Ho B) 2.20; fail to reject Ho OC) 0.0139; reject Ho D) 0.0139; fail to reject Ho E) -2.20; reject Ho
A popular uprising that started on January 25, 2011 in Egypt led to the 2011 Egyptian Revolution. Polls show that about 70% of American adults followed the news about the political crisis and demonstrations in Egypt closely during the first couple weeks following the start of the uprising. Among a random sample of 60 high school students, it was found that only 34 of them followed the news about Egypt closely during this time. Describe how to perform one repetition of a simulation of the proportion of high school students who followed the Egyptian Revolution using blue and yellow poker chips and, once you had results, how to estimate the p-value.
Researcher believe that 75% of students (or more) can benefit from listening to music while studying for an exam. To verify this, they recruited 120 high school students from different grade levels (Freshmen to Senior) to participate in a study. The students were asked to take a test immediately after they studied a new subject in a room for three hours. The researchers asked students to repeat the process two times: once without listening to music and another time while listening to their preferred music. The order of the tests (with or without music) and the subjects were randomly assigned. The researchers recorded the difference between with-music and without-music scores to measure the impact of listening to music on score. In addition to the above information, they recorded students' gender. 7. Fill in the following blanks with all applicable variables from the information provided above. The response variable in this study is a. ________, which is a b. ________…
A firm that operates a large, direct-to-consumer sales force would like to implement a system to monitor the progress of new agents. A key task for agents is to open new accounts; an account is a new customer to the business. To build such a system, the firm has been monitoring sales of new agents over the past 2 years. The response of interest is the profit to the firm (in dollars) of contracts sold by agents over their first year. Among the possible predictors of this performance is the number of new accounts developed by the agent during the first 3 months of work.
A group of investigators wishes to explore the relationship between the use of hair dyes and the development of breast cancer in females. A group of 100 beauticians 40–49 years of age is identified and followed for five years. After five years, 20 new cases of breast cancer have occurred. Assume that breast cancer incidence over this time period for average American women in this age group is 30/100. We wish to test the hypothesis that using hair dyes decrease the risk of breast cancer. Compute p-value (The answer is Not 0.0021) Please choose answer from these two following multiple choice. a) 0 b) 47.6190
A researcher conducted the first four steps of an Independent ANOVA, and on step 4 he Rejected H0, concluding that the drug had some overall effect. However, as we learned, Rejecting H0 is not really enough to call your study a “success” on ANOVA; you still need to check several more things in Step 5 and Step 6. So, let’s say the researcher gets the following APA table on Step 5. In which of the following cases would the drug shown on this APA table be considered a “success”? Small Dose of Drug Medium Dose of Drug High Dose of Drug M 11.00 22.00 27.00 SD 1.00 1.73 1.00 More than one of the other three options could be considered a “success” with the APA table shown If the study was investigating a depression-fighting medication where the D.V. is depression If the study was investigating a memory-improving pill where the D.V. is memory score If the study was investigating a pain-reduction pill where the D.V. is pain levels
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