An Examination of eight applicants for a clerical post was taken by a firm. From the marks obtained by the applicant in the Accountancy and Statistics papers, compute the correlation coefficient Applicants Marks in Accountancy Marks in Statistics B c D 20 28 | 12 30 50 30 GH 60 20 80 30 60 A E F 15 40 40 20 10

An Examination of eight applicants for a clerical post was taken by a firm. From the marks obtained by the applicant in the Accountancy and Statistics papers, compute the correlation coefficient Applicants Marks in Accountancy Marks in Statistics B c D 20 28 | 12 30 50 30 GH 60 20 80 30 60 A E F 15 40 40 20 10

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 bag of candy contains 5 different types of colored candies; red, green, blue, yellow, and orange. According to the manufacturer, bags should contain an equal number of each color. Students in a statistics class decided to use a chi-square procedure to test the manufacturer’s claim. They opened a bag of candy and recorded the number of candies of each color. The results are shown in the following table. Red Green Blue Yellow Orange 17 24 20 25 14 Which color contributes most to the chi-square test statistic? Red A Green B Blue C Yellow D Orange
Historically, the proportions of all Caucasians in the United States with blood phenotypes A, B, AB, and O are .41, .10, .04, and .45, respectively. To determine whether current population proportions still match these historical values, a random sample of 200 American Caucasians were selected, and their blood phenotypes were recorded. The observed numbers with each phenotype are given in the following table.ABABO89181281Is there sufficient evidence, at the .05 level of significance, to claim that current proportions differ from the historic values?a) State the hypotheses.b) Find the critical value at the 5% significance level (rounded off to four decimals).c) Calculate the value of the Chi-square test (rounded off to two decimals).d) State the conclusion at the 5% significance level
An article in the newspaper claims that 60% of registered drivers have the organ donor designation on their driver's license. A researcher at a hospital decides to investigate this claim. The researcher selects a random sample of 50 registered drivers and finds that 44.0% have the organ donor designation on their driver's license. Do the data provide convincing evidence at the ?α = 0.05 level that fewer than 60% of registered drivers have the organ donor designation on their license?
Assume that 28% of randomly selected adults have high cholesterol (with a level of at least 240mg/dl. or are taking medicine to reduce cholesterol). Based on results from the National Center for Health Statistics. Assume that a group of five adults is randomly selected. If all five of the adults have high cholesterol, is five significantly high? Why or why nor?
An investigator analyzed the leading digits from 794 checks issued by seven suspect companies. The frequencies were found to be 218, 130, 106, 83, 65, 48, 48, 37, and 59, and those digits correspond to the leading digits of 1, 2, 3, 4, 5, 6, 7, 8, and 9, respectively. If the observed frequencies are substantially different from the frequencies expected with Benford's law shown below, the check amounts appear to result from fraud. Use a 0.025 significance level to test for goodness-of-fit with Benford's law. Does it appear that the checks are the result of fraud? Leading_Digit Actual_Frequency Benford's_Law:1) 218 30.10%2 )130 17.60%3) 106 12.50%4) 83 9.70%5) 65 7.90%6) 48 6.70%7) 48 5.80%8) 37 5.10%9) 59 4.60% Calculate the test statistic, χ2 =? (Round to three decimal places as needed.) Calculate the P-value=? (Round to four decimal places as needed.)
The scientific productivity of major world cities was the subject of a recent study. The study determined the number of scientific papers published between 1994 and 1997 by researchers from each of the 20 world cities, and is shown below. City Number of papers City Number of papers City 1 1616 City 11 33 City 2 2626 City 12 99 City 3 1212 City 13 2121 City 4 55 City 14 44 City 5 22 City 15 55 City 6 2626 City 16 44 City 7 66 City 17 2020 City 8 2525 City 18 1717 City 9 1616 City 19 2222 City 10 66 City 20 2525 Construct a 95 % confidence interval for the average number of papers published in major world cities. blank <μ<blank
In a study to estimate the proportion of residents in a certain city and its suburbs who favor the construction of a nuclear power plant, it is found that 63 of 100 urban residents favor the construction while only 59 of 125 suburban residents are in favor. Is there a significant difference between theproportions of urban and suburban residents who favor construction of the nuclear plant? Use 0.01 level of significance
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A survey of 2255 randomly selected US adults found that 51% said they know all or most of their neighbors.17Hampton, K., Goulet, L., Rainie, L. and Purcell, K., “Social Networking Sites and Our Lives,” Pew Research Center, org, June 16, 2011. Does this provide evidence that more than half of US adults know most or all of their neighbors?
The London Schoolof Economics and the Harvard BusinessSchool conducted astudy of how Chief Executive Officers (CEOs) spend their day. The study found that CEOs spend on average about 18 hours per week in meetings, not including conference calls, business meals, and public events (The Wall Street Journal,February 14, 2012). Shown below is the time spent per week in meetings (hours) for a sample of 25 CEOs.14151823151920131523232115202116151818191922232112a.What is the least amount of time spent per week on meetings? The highest?b.Use a class width of two hours to prepare a frequency distribution and a percent frequency distribution of the data.
A researcher does a study looking at whether the distribution of people’s favorite form of media (radio, television, internet, podcasts, or video games) has changed since previous research on this topic from the year 1995. Notice there are c = 5 categories on this variable. Additionally, the study was done by surveying n=100 people. The researcher does the calculations and gets χ2Obtained of 8.74, and a χ2Critical of 9.49 (using alpha = .05). What is the correct H0 decision and APA sentence? Group of answer choices Reject H0 APA sentence: χ2(99, n=100) = 8.74, p < .05 Fail to Reject H0 APA sentence: χ2(4, n=100) = 8.74, p > .05 Fail to Reject H0 APA sentence: χ2(5, n=100) = 8.74, p < .05 Reject H0 APA sentence: χ2(4, n=100) = 9.49, p < .05
An automobile dealer conducted a test to determine if the time in minutes needed to complete a minor engine tune-up depends on whether a computerized engine analyzer or an electronic analyzer is used. Because tune-up time varies among compact, intermediate, and full-sized cars, the three types of cars were used as blocks in the experiment. The data obtained follow. Analyzer Computerized Electronic Car Compact 52 43 Intermediate 55 44 Full sized 61 45 Use ? = 0.05 to test for any significant differences. State the null and alternative hypotheses. H0: ?Compact ≠ ?Intermediate ≠ ?Full-sizedHa: ?Compact = ?Intermediate = ?Full-sized H0: ?Compact = ?Intermediate = ?Full-sizedHa: ?Compact ≠ ?Intermediate ≠ ?Full-sized H0: ?Computerized = ?Electronic = ?Compact = ?Intermediate = ?Full-sizedHa: Not all the population means are equal. H0: ?Computerized ≠ ?ElectronicHa: ?Computerized = ?Electronic H0: ?Computerized = ?ElectronicHa: ?Computerized ≠ ?Electronic Find the…