Exercise 2An engineer analyses the presence (Yes-present, No- not present) of a specific terms in received messages (100messages), to filter spams. These terms are:Donation, Ransom, Shows, UnsubscribeThe analysis is based on the data shown below:DonationRansomShowsUnsubscribeNoYesNoTotalNo10/20YesNoYesYes8/2057/8065/Л0020/2012/20200/208/808/1004/2016/2010/20SpamHam8071/8091/10023/8035/10079/8014/8066/801/805/100100Total95/10024/10076/100Suppose that you receive a new message that contains the terms Donation and Unsubscribe, but does notcontain either Ransom or Shows.your opinion, this new message will be classified as spam or ham? (assume class conditional independence:P(An B/C) = P(A/C)P(B/C) and use conditional probability)In

Answered: Exercise 2 An engineer analyses the…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A study of the characteristics of subcarriers—telecommunication signals carried on top of one another—for underwater acoustic communications was conducted. A sub-carrier can be classified as either a data subcarrier (used for data transmissions), a pilot subcarrier (used for channel estimation and synchronization), or a null subcarrier (used for direct current and guard banks transmitting no signal). In a sample of 1,024 subcarrier signals transmitted off the coast of Martha’s Vineyard, 672 were determined to be data subcarriers, 256 pilot subcarriers, and 96 null subcarriers. Suppose a communications engineer who works near Martha’s Vineyard believes that fewer than 70% of all subcarrier signals transmitted in the area are data subcarriers. Is there evidence to support this belief? Test using a significance level of .05. Write all steps.
The University is considering changing the email system that they currently use. Since there are substantial learning costs associated with any new software, the University only wants to change to the new system if it is very confident that there is at least a 20% difference in the proportion of faculty and staff who say they like the new system. In a sample of 139 users of the current system, the University finds that 66 say they like the current system. In another sample of 92 experimental users of the “new” system, the University finds that 73 of them like the new system. When testing the hypothesis (using a 5% level of significance) that there is at least a 20% difference in the proportion of users who like the two systems, what is the test statistic? (please round your answer to 2 decimal places)
The University is considering changing the email system that they currently use. Since there are substantial learning costs associated with any new software, the University only wants to change to the new system if it is very confident that there is at least a 20% difference in the proportion of faculty and staff who say they like the new system. In a sample of 140 users of the current system, the University finds that 75 say they like the current system. In another sample of 85 experimental users of the “new” system, the University finds that 72 of them like the new system. When testing the hypothesis (using a 5% level of significance) that there is at least a 20% difference in the proportion of users who like the two systems, what is the null and alternative hypothesis?
The University is considering changing the email system that they currently use. Since there are substantial learning costs associated with any new software, the University only wants to change to the new system if it is very confident that there is at least a 20% difference in the proportion of faculty and staff who say they like the new system. In a sample of 120 users of the current system, the University finds that 65 say they like the current system. In another sample of 90 experimental users of the “new” system, the University finds that 70 of them like the new system. When testing the hypothesis (using a 5% level of significance) that there is at least a 20% difference in the proportion of users who like the two systems, the p-value is .2943; what is your conclusion concerning the null hypothesis? Reject the null hypothesis Fail to reject the null hypothesis
A study was performed concerning medical emergencies on commercial airline flights. A database was constructed based on calls to a medical communications center from 5 domestic and international airlines representing approximately 15% of the global passenger flight volume from January 2005 to December 2007. There were 11,000 in flight medical emergencies (IFM) among 8,000,000 flights during the study period. Assume that there is at most 1 IFM per flight. Suppose a flight attendant works on 3 flights per day for each of 300 days per year. Also, assume that the flight attendant’s total duration of employment is 20 years. What is the approximate probability that he/she encounter at least 5 IFM’s over a 20 year period? (b) Suppose we observe 80 alcoholics with cirrhosis of the liver, of whom 25 have hepatomas, that is, liver cell carcinoma. Suppose we know, based on a large sample, that t`he risk of hepatoma among alcoholics without cirrhosis of the liver is 25%. What is the approximate…
According to U.S. government statistics, mononucleosis (mono) is four times more common among college students than the rest of the population. Blood tests for the disease are not 100% accurate. Assume that the following table of data was obtained regarding students who came to a certain school's health center complaining of tiredness, a sore throat, and slight fever. Has Mono Doesn't Have Mono Totals Positive Blood Test 19 44 63 Negative Blood Test 46 29 75 Totals 65 73 138 If a student is selected from this group, find the probability that the test is positive, given that the student has mono.
In 2018, a consumer goods giant had more than 20 brands with more than $1 billion in annual sales. How does the company create so many successful consumer products? They effectively invests in research and development to understand what consumers want. One method used to determine consumer preferences is called conjoint analysis. Conjoint analysis allows a company to ascertain the utility that a respondent in the conjoint study places on a design of a given product. The higher the utility, the more valuable a respondent finds the design. Suppose we have conducted a conjoint study and have the following estimated utilities (higher is preferred) for each of three different designs for a new whitening toothpaste. Respondent Utilities Design A Design B Design C 1 24.6 34.4 28.8 2 31.4 31.4 33.9 3 31.8 20.2 27.8 4 15.4 26.4 25.1 5 20.7 18.3 18.2 6 41.0 34.0 44.8 7 27.1 22.5 27.3 8 20.2 21.8 27.9 9 31.6 29.4 31.3 10 24.4 29.0 29.3 At the 0.05 level of…
Determine the mean waiting time W for an M/M/2 system when lambda = 2 and μ = 1.2. Compare this with the mean waiting time in an M/M/1 system whose arrival rate is lambda = 1 and service rate is μ = 1.2. Since the arrival rate per server is the same in both cases and service times don’t vary, should the wait times be the same in both cases?
The data: a11=8 , a12=11 , a13=27 , a21=289 , a22=51 , a23=122 which is represented in the following table, were derived from a study of the effectiveness of a flu vaccine. The value in each cell of the table represents the number of individuals in that category. Some participants in the study were given no vaccine, some were given one injection, and some were given two injections. No Vaccine One Injection Two Injections Flu 8 11 27 No Flu 289 51 122 What is the probability that a person received two injections? Note: For any final answer that has up to four decimal places, enter your answer without rounding the number. For any answers with more than four decimal values, round your final answer to four decimal places.
A group of students in Methods of Social Research wanted to study the relationship between GPA and participation in athletics among ENC traditional undergraduates. Other researchers have found that students involved in Division III athletics often have higher GPAs than the rest of the student body, so the group of students in Methods wanted to know whether this was true for ENC students. They were able to gather data on 160 ENC students (80 athletes and 80 non-athletes) and found that, among this group, the 80 athletes had slightly higher GPAs on average than the 80 students who were not athletes. In this study, who makes up the sample? Who makes up the population? Suppose they found in the sample data that the overall GPA for ENC athletes was 3.35 and for the ENC non-athletes was 3.21. Are these statistics or parameters?
According to scientists, the cockroach has had 300 million years to develop a resistance to destruction. In a study conducted by researchers, 6 comma 0006,000 roaches (the expected number in a roach-infested house) were released in the test kitchen. One week later, the kitchen was fumigated and 18 comma 10718,107 dead roaches were counted, a gain of 12 comma 10712,107 roaches for the 1-week period. Assume that none of the original roaches died during the 1-week period and that the standard deviation of x, the number of roaches produced per roach in a 1-week period, is 1.61.6. Use the number of roaches produced by the sample of 6 comma 0006,000 roaches to find a 9595% confidence interval for the mean number of roaches produced per week for each roach in a typical roach-infested house. Find a 95% confidence interval for the mean number of roaches produced per week for each roach in a typical roach-infested house.
A school Psychologist is interested in the effect of violent television programs on a child's agression depending on if the show is a cartoon or not. Eighty children were recruited and were divided into equal groups. Half of the children watched a violent television program while the other half watched a non- violent program. Half of the children watched a cartoon while the other half watched a show that was not a cartoon. The children were then placed in a small group and the researcher measured the level of agressiveness of each child. A) z- test B) t - test C) test independent samples D) T - TEST RELATED SAMPLES E) ANOVA F) FACTORIAL ANOVA G) repeated measures ANOVA H) pearson correlation i) chi square

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