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Answered: How many different simple random…

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 random selection of volunteers at a research institute has been exposed to a weak flu virus. After the volunteers began to have flu symptoms, 10 of them were given multivitamin tablets daily that contained 1 gram of vitamin C and 3 grams of various other vitamins and minerals. The remaining 10 volunteers were given tablets containing 4 grams of vitamin C only. For each individual, the length of time taken to recover from the flu was recorded. At the end of the experiment the following data were obtained. Days to recover from flu Treated with 4.0, 7.9, 6.1, 2.9, 4.0, 4.0, 4.5, 6.4, 5.6, 2.3 multivitamin Treated with 4.0, 6.6, 8.5, 3.2, 4.8, 2.6, 3.4, 3.2, 7.6, 7.7 vitamin C Send data to calculator v Suppose that it is known that the population standard deviation of recovery time from the flu is 1.8 days when treated with multivitamins and that the population standard deviation of recovery time from the flu is 1.5 days when treated with vitamin C tablets. Suppose also that both…
The FAA is interested in knowing if there is a difference in the average number of on-time arrivals for four of the major airlines. The FAA believes that the number of on-time arrivals varies by airport, therefore, a randomized block design is used for the study. To control for this variation, they randomly select 100100 flights for each of the major airlines at each of four randomly selected airports and record the number of on-time flights. Can the FAA conclude that there is a significant difference among the average number of on-time arrivals for the four major airlines? The results of the study are as follows. Average Number of On-Time Arrivals Airport Airline A Airline B Airline C Airline D Airport A 8989 7676 7171 8787 Airport B 7979 8787 7979 8383 Airport C 7575 8484 8585 8989 Airport D 7777 7373 8888 8686 Copy DataANOVA Source of Variation SSSS dfdf MSMS Rows 15.500015.5000 33 5.16675.1667 Columns 109.5000109.5000 33 36.500036.5000 Error…
How many samples of size 5 can be chosen from a population of size 8?
A government official is in charge of allocating social programs throughout the city of Vancouver. He will decide where these social outreach programs should be located based on the percentage of residents living below the poverty line in each region of the city. He takes a simple random sample of 124 people living in Gastown and finds that 25 have an annual income that is below the poverty line. Part i) The proportion of the 124 people who are living below the poverty line, 25/124, is a: A. statistic. B. variable of interest. C. parameter. Part ii) Use the sample data to compute a 95% confidence interval for the true proportion of Gastown residents living below the poverty line. (Please carry answers to at least six decimal places in intermediate steps. Give your final answer to the nearest three decimal places). 95% confidence interval = ( , )
How many degrees of freedom will the error have in a randomized block design with five treatments and three blocks?
Suppose it is known that in a certain community 30% of the household have a micro-wave oven. if we select a simple random sample of 19 households from this population, how many would we expect to have mirco-waves ovens?
An adventure company runs two obstacle courses, Fundash and Coolsprint, with similar designs. Since Fundash was built on rougher terrain, the designer of the courses suspects that the mean completion time of Fundash is greater than the mean completion time of Coolsprint. To test this, she selects 235 Fundash runners and 275 Coolsprint runners. (Consider these as independent random samples of the Fundash and Coolspring runners.) The 235 Fundash runners complete the course with a mean time of 78.1 minutes and a standard deviation of 6.7 minutes. The 275 individuals complete Coolsprint with a mean time of 76.4 minutes and a standard deviation of 8.1 minutes. Assume that the population standard deviations of the completion times can be estimated to be the sample standard deviations, since the samples that are used to compute them are quite large. At the 0.01 level of significance, is there enough evidence to support the claim that the mean completion time, u,, of Fundash is greater than…
A professional basketball star who had a reputation for being a poor free throw shooter made 5210 of the 9721 free throws that he attempted, for a success ratio of 0.536. A simulation was developed to generate random numbers between 1 and 1000. An outcome of 1 through 536 was considered to be a free throw that is made, and an outcome of 537 through 1000 was considered to be a free throw that is missed. The list below shows the results for five generated numbers where 1 represents a free throw that was made and 0 represents a free throw that was missed. Complete parts (a) and (b). a. Is the proportion of successful free throws P from the simulation reasonably close to the value of 0.536? (Hint: A proportion is said to be "reasonably close" if it is within the given success ratio ± the probability of a single event.) No, P is not reasonably close to the value of 0.536. Yes, P is reasonably close to the value of 0.536. 0 1 1 1 b. The simulation was conducted 10 times to generate five…
In a completely randomized experimental design involving four treatments, 20 observations were recorded for each of the four treatments. The following information is provided: SSTR = 154 and SST = 342. What does the sum of squares within treatments (SSE) equal?
The FAA is interested in knowing if there is a difference in the average number of on-time arrivals for four of the major airlines. The FAA believes that the number of on-time arrivals varies by airport, therefore, a randomized block design is used for the study. To control for this variation, they randomly select 100100 flights for each of the major airlines at each of four randomly selected airports and record the number of on-time flights. Can the FAA conclude that there is a significant difference among the average number of on-time arrivals for the four major airlines? The results of the study are as follows. Average Number of On-Time Arrivals Airport Airline A Airline B Airline C Airline D Airport A 9090 8282 8080 8383 Airport B 8282 7070 7474 7979 Airport C 8787 8484 7676 8888 Airport D 9090 7979 7979 9090 Copy DataANOVA Source of Variation SSSS dfdf MSMS Rows 181.6875181.6875 33 60.562560.5625 Columns 278.6875278.6875 33 92.895892.8958 Error…
A study was conducted at the local skate park to determine how caffeine affected the performance of skateboarders during competitions. 100 skateboarders were selected from an upcoming competition roster. The researchers chose a random entry then proceeded to select every 4th entry until the desired sample size was reached.On the day of the competition, the sample was split (at random) into two groups. Each member of Group "A" was given a cup of decaf coffee while each member of Group "B" was given a cup of coffee containing 100mg of caffeine. (The skateboarders did not know which type of coffee they received.) As the competition progressed, the scores for each skateboarder were tracked.
question 4 Diagnostic tests of medical conditions can have several types of results. The test resultcan be positive or negative, whether or not a patient has the condition. A positive test (+)indicates that the patient has the condition. A negative test (-) indicates that the patientdoes not have the condition. Remember, a positive test does not prove that the patient hasthe condition. Additional medical work may be required. Consider a random sample of200 patients, some of whom have a medical condition, and some of whom do not. Resultsof a new diagnostic test for the condition are shown. Condition ispresent Condition is absent total Test result (+) 110 20 130 Test result (-) 20 50 70 total 130 70 200 Assume the sample is representative of the entire population. For a person selected at random,compute the following probabilities:a. P(+│condition is present); this is known as the sensitivity of a test. b. P(- │condition is absent); this is known as the…

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How many different simple random samples of size 4 can be obtained from a population whose size is 48? The number of simple random samples which can be obtained is (Type a whole number.)