In an experiment, two different species of fruit trees were crossbred. The resulting fruit fromthis crossbreeding experiment were classified by color of meat of the fruit and color of theskin of the fruit, into one of four groups, as shown in the table below.Number of Fruit ObservedFruit Type Resulting From CrossbreedingWith These ColorsI: Red meat with orange skinII: Red meat with yellow skinIII: Yellow meat with orange skinIV: Yellow meat with yellow skin65372424A botanist expected that the ratio of 5:2:2:1 for the color types I: II: III: IV, respectively,would result from this crossbreeding experiment. Using the data above, a x value ofapproximately 9.567 was computed. Are the observed results inconsistent with the expectedratio at the 1 percent level of significance?A) Yes, because the computed 7 value is greater than the critical value.B) Yes, because the computed 7 value is less than the critical value.C) No, because the computed x' value is less than the critical value.D) No, because the computed x' value is greater than the critical value.E) It cannot be determined because some of the expected counts are not large enough to usethe x² test.

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Answered: In an experiment, two different species…

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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In a study of factors that influence brand switching by a certain demographic, the following factors were identified as being significant as judged by the responses of the 439 participants in the survey. 1: Better price 2: Friend's recommendation 3: Seeing others use it 4: Interesting packaging 5: Buzz-people talking about the brand 6: An advertisement 7: Press stories 8: Entertainer/sports celebrity endorsement The results of the survey follow. 1 2 3 4 5 6 7 8 6.9 Respondents (%) 68.8 60.2 22.6 20.8 16.8 16.8 14.7 Let A denote the set of factors that had a response greater than 20%, let B denote the set of factors that had a response between 15% and 25%, and let C denote the set of factors that had a response less than 25%. Find the following. Factor (a) n(A), n(B), n(C) n(A) = n(B) = n(C) = (b) n(An B) (c) n(AC n C) (d) n(An B) (e) n(An C) (f) n[(AUB) n C]
A particular phone case comes in 6 different colors, and in the past all 6 colors have sold at approximately equal rates. The manufacturer is concermed that some colors are becoming more popular than others and is concerned that the production of the colors needs to be modified. In order to look into this, he randomly selects 120 of their sales from amazon.com that have occurred over the past month and records the color of the phone case. The results are below. Test the hypothesis that the colors no longer sell at equal rates. Use .05 as the level of significance. Black White Pink Sky Orange Sage Blue 18 15 26 20 21 20
Cloud seeding has been studied for many decades as a weather modification procedure. The rainfall in acre-feet from 20 clouds that were selected at random and seeded with silver nitrate follows: 18.0, 30.7, 19.8, 27.1, 22.3, 18.8, 31.8, 23.4, 21.2, 27.9, 31.9, 27.1, 25.0, 24.7, 26.9, 21.8, 29.2, 34.8, 26.7, and 31.6. There is a claim that mean rainfall from seeded clouds exceeds 25 acre-feet. The P-value for the test H0: µ = 25 versus H1: µ > 25 is closest to:
In 44 data from a study to calculate the number of people employed in Mexico, the following results were obtained: 46977904, 47453163 ,48069274 ,48478718 ,48505168 ,48738589 ,48903792 ,49133132 ,49190032 ,49482112 ,50127032 ,50192842 ,50772496 ,50847242 ,51317999 ,51477178 ,51559018 ,51836752 ,51895865 ,51927050 ,52007842 ,52034353 ,52108400 ,52192043 ,52370886 ,52623721 ,52918649 ,53179919 ,53539565 ,53681720 ,53809017 ,54034800 ,54068791 ,54226803 ,54369915 ,54590773 ,54696638, 55643417 ,55962275 ,56023199 ,56951215 ,56951215 ,57349577 ,57625521 Find a 95% confidence interval for the mean number of people in employment.
The paper "An analysis of Job Sharing, Full-Time, and Part-Time Arrangements" (Amer. Business Review (1989): 34-40) reported on a study of hospital employment from three different groups. Each employee reported a level of satisfaction with his or her work schedule (1=very dissatisfied to 7 =very satisfied), as shown in the accompanying table. Group 1. Job sharers 2. Full-time employees 3. Part-time employees Sample Size Sample mean 24 24 20 6.60 5.37 5.20 (a). What model will you use for modelling this data set? Write down the corresponding model equation. What are numerator and denominator df's for the F test? (b). The test statistic value is F = 6.62. Use a test with significance level .05 to decide whether is plausible that true average satisfaction levels are identical for the three groups.
In a study of factors that influence brand switching by a certain demographic, the following factors were identified as being significant as judged by the responses of the 439 participants in the survey. 1: Better price 2: Friend's recommendation 3: Seeing others use it 4: Interesting packaging 5: Buzz—people talking about the brand 6: An advertisement 7: Press stories 8: Entertainer/sports celebrity endorsement The results of the survey follow. Factor 1 2 3 4 5 6 7 8 Respondents (%) 68.6 60.2 22.8 20.6 16.6 16.6 14.7 6.9 Let A denote the set of factors that had a response greater than 20%, let B denote the set of factors that had a response between 15% and 25%, and let C denote the set of factors that had a response less than 25%. Find the following. (a) n(A), n(B), n(C) n(A) = n(B) = n(C) = (b) n(A ∩ B) (c) n(Ac ∩ C) (d) n(A ∩ Bc) (e) n(Ac ∩ Cc) (f) n[(A ∪ B) ∩ C]
a researcher in a large organisation wishes to study sickness absence among its employees. the organisation has a large number of branches. each keeps its records of its sickness leave.after a sample was collected it became apparent that the branches fell into three natural groups in terms of sales small, medium and large.from the data of all the branches the researcher found that 210 randomly selected staff 90 worked in small branches 36 in medium branches and the rest worked in large branches. in total 96 of the selected staff had no sickness day off of which 52 worked in small branches and 29 worked in large branches. form a table showing this information clearlya researcher in a large organisation wishes to study sickness absence among its employees. the organisation has a large number of branches. each keeps its records of its sickness leave.after a sample was collected it became apparent that the branches fell into three natural groups in terms of sales small, medium and…
The following data are taken from an experiment in which the subjects were tested for motion sickness. Thesubjects were randomly assigned to either the control group which was given a placebo or the experimentalgroup which was given the drug Astemizole and observed on an ocean voyage. The same subjects were thenswitched and those that had the placebo were now given the drug, and those that had the drug were nowgiven a placebo and observed on a new ocean voyage taking the same course. The results are the number ofhead movements that the subjects could endure without becoming nauseous. Use α = 0.05 to test the claimthat Astemizole is effective, i.e. it takes a larger number of head movements before the subject getsnauseous.Control 19 45 36 42 38 31 30 40 41 35Drug 20 55 36 45 40 32 41 38 44 29 1) State the hypotheses and identify the claim. Group 1 is the Control group. 2)Find the test statistic and Find the p-value. 3)Make the decision and Summarize the results.
6. Consider an industrial process in the textile industry in which strips of a particular type of cloth are being produced. These strips can be defective in two ways, length and nature of texture. For the case of the latter, the process of identification is very complicated. It is known from historical information on the process that 10% of strips fail the length test, 5% fail the texture test, and only 0.8% fail both tests. If a strip is selected randomly from the process and a quick measurement identifies it as failing the length test, what is the probability that it is texture defective?
In a recent study, a scientist was interested in investigating whether there is a significant difference in the number of sleeping hours in different moon phases: waxing crescent, full moon, and waning crescent. Participants’ number hour of sleep were recorded in the table below. Quality of sleeps (in number of hours) Waxing Crescent Full Moon Waning Crescent 7 8 9 7 8 4 5 4 3 6 5 7 8 9 6 What are the groups being compared? That is, what are the levels of the IV? What is the IV? What is the level of measurement of the IV?
10) Last school year, the student body of a local university consisted of 35% freshmen, 24% sophomores, 26% juniors, and 15% seniors. A sample of 300 students taken from this year's student body showed the following number of students in each classification. Freshmen 90 Sophomores 60 Juniors 90 Seniors 60 We are interested in determining whether or not there has been a significant change in the classifications between the last school year and this school year. The expected frequency of seniors is a. 45 b. 35 c. 65 d. 55

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