'6. The competitors in a beauty contest are ranked by three Judges in the followingorder :1st Judge2nd Judge3rd Judge7114108.9.46.9.5.113.2.7.10109.118.Use the rank correlation coefficient to determine,which pair of Judges has the nearest approach tocommon taste in beauty.

Given : The competitors in a beauty contest are ranked by three Judges in the following order…

Answered: 6. The competitors in a beauty contest…

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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3. Suppose the 3 friends want to investigate the types of cars that students at WSU drive. Using the hypothetical data provided below, test whether the mean number of each type (compact mean, midsize mean, full-size mean) of cars are equal. Use a = 0.05 Compact Cars Midsize Cars 453 423 515 Friend/observation 1 650 Friend/observation 2 677 Friend/observation 3 703 Full-size Car 469 455 401 (a) State the null and alternative hypotheses (b) Calculate the appropriate test statistic (c) construct the full ANOVA table
Find the first and third quartiles of these data. Use the chart to determine the answer.
3. The number of tie-breaking votes cast by each of the 21 vice presidents of the United States who served during the twentieth century are shown. Draw a histogram for this data: 0, 0, 4, 10, 0, 2, 3, 3, 4, 1, 7, 8, 0, 4, 2, 0, 0, 1, 7, 0, 4 esc FI F2 ㅁㅁ F3 F4 F5 MacBook Air F6 F7 * F8 F9 F10 F11 + 1/ F12
b. TripAdvisor is one of many online websites that provides ratings for hotels throughout the world. TripAdvisor uses a semi-automated telephone process to take reservations from its customers. This company conducts a survey of customers, asking them what problems they have encountered in making reservations. The chart below shows the analysis of the customer responses (BS = Busy Signal; TL = Too Long to Wait; GD = Got Disconnected; WP = Transferred to the Wrong Person). Problems Encountered Making Enquiries by Telephone 450 400 400 350 -300 250 200 175 150 100 50 50 25 0 BS TL GD WP Type of Complaint What percentage of customers encountered "Busy Signal" or "Too Long to Wait" when making reservations? Number of Complaints
Suppose you just graduated with an accounting degree and are trying to choose an accounting firm to begin your career. You spent hours researching many firms and have narrowed your search down to three (i.e. Aguilar, Brown and Cheng). You have surveyed accountants to determine if the average incomes at each firm are equal between each of your top three choices. Obviously you want to join the firm with the highest average pay. Below are a sample of salaries (i.e. eight individuals from each firm) enabling you to test the hypothesis that the average pay (in thousands of $) is equal between employers. Use Fisher's LSD procedure (if necessary) to test whether there is a significant difference between any of the firms. (Show work for full credit, 10 pts) Aguilar Brown Cheng 72 98 80 81 60 54 103 87 60 94 69 45 64 72 53 58 67 42 70 74 67 71 78 80 Using a .05 level of significance complete the hypothesis test below. A. State the null and alternative…
2 1. A Statistics class reports the following data on Sex and Eye Color for students in the class: Blue Brown Green/Hazel/Other Total Males 8 20 Females 4 Total a. Compare the overall percent of students who are female to the percent of females with each eye color. ↑ 16 # 3 b. Make a side-by-side bar chart to show the distribution of sex for the different colors. 6 C. Does it seem that eye color and sex are independent? Explain. с 12 4 % 5 DELL Oll A 6 O 7 *00 8
A social scientist is interested in which colors adult males in the U.S. prefer. He surveyed 1450 adult males. The data is summarized in the following (incomplete) table. Complete the table. Color preferences of U.S. adult males Color Frequency Relative Frequency Red 0.04 Orange Yellow 0.16 Green 0.04 Blue 0.04 Purple 0.2
2. In a study of parents' feelings about a required course in consumer education taught to their children, a random sample of 360 parents are classified according to whether they have one, two or more children in the school system, and also whether they feel that the course is poor, adequate or good. The results are shown in the table to the right. Test at the 0.05 level of significance whether there is a relationship between parents' reaction to the course and the number of children they have in the school system. Poor Adequate Good 1 kid 48 55 57 2 kids 40 53 46 3+ kids 12 29 20
3. A consumer panel tested nine makers of air conditioners for overall quality. The ranks assigned by the panel and the suggested retail prices were as follows. SUGGESTED PRICE (Php) 14, 800 13, 950 15, 750 15, 500 15, 100 15, 450 14, 000 14, 650 14, 200 MANUFACTURER PANEL RATING 6 9 8 1 7 4 3 Is there a significant relationship between the quality and the price of an air conditioner? ABCDEECHI
5. A gift card company has about 10 different coloured cards for sale. Since the colouring process is expensive they want reduce the number of colours. In order to decide which colour to be used they piloted as study by taking the NUMBER (X₁) of a COLOUR X₂ that sell the most and the REVENUE from different outlets. Partial Data Set n = 36. They chose blue, pink and green cards for the study. Revenue 78.8 73.8 64.6 = 97.6 84.4 70.5 Number 100 150 69 79 140 120 Colour P B G G P B X₁ = NUMBER of coloured cards sold X₂ Ŷ = REVENUE recorded in x R1000.00 COLOUR: P = pink, B = blue and G = green The analyst expanded his analysis and SAS produced the following regression function. Ŷ = 6.21 + 1.03 X₁ + 41.3 X₂ + 22.7 X3 -0.703 X₁X₂ - 0.510X₁X3. 5.1. Why would he have interaction terms in the fitted response?
9. In the city's entire commercial area, there has been a problem with shoplifting in the March-May months. A police cadet took a random sample of 10 days (out of the 90 days) and compiled the following data. For each day, x represents the number of police officers on duty in the commercial area and y represents the number of reported shopliftings on that day. 10 15 16 4 6. 18 12 14 y 1 6. 7 8. 3 a) Construct a scatter diagram of x and y values. b) Suppose the computed value of r is -0.969, what does the value tell you? 10. A psychologist is studying pattern-recognition skills under four laboratory settings. In each setting, a fourth-grade child is given a pattern-recognition test with 10 patterns to identify. In setting I, the child is given praise for each correct answer and no comment about wrong answers. In setting II, the child is given criticism for each wrong answer and no comment about correct answers. In setting III, the child is given no praise or criticism, but the observer…
24. A sports medicine major wanted to conduct an experiment to determine if there is a correlation between the members of the soccer team's leg strength and the time it takes for them to sprint 40 yards. He sets up the following test and records the data: Every day for a week, he counts how mnany times each player can leg press 350 pounds. The following week, he has each player sprint 40 yards every day. The table shows the average number of leg-press repetitions and the average 40-yard dash time (in seconds) for seven randomly selected players. What is the equation of the line of best fir? How many seconds should he expect a player to take to run -0 yards if that player can do 22 leg-press repetitions Round any values to the nearest tenth, if necessary Leg Press (reps) 32 7 11 23 28 15 12 40-vard Dash (s) S.6 14.6 7.1 S.3 11 9 13 4 9.5 53°F a

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6. The competitors in a beauty contest are ranked by three Judges in the following order : 1st Judge 2nd Judge 3rd Judge 11 4 3 10 8. 9. 4. 6. 9. 5. 11 3. 2 10 10 6. 11 8. Use the rank correlation coefficient to determine,which pair of Judges has the nearest approach to common taste in beauty.