Perform a chi-square analysis using the expected and observed data in Data Table 19. Calculate chi-squared (X2). Show your work in Panel 5.
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- Perform a chi-square analysis using the expected and observed data in Data Table 19.
- Calculate chi-squared (X2). Show your work in Panel 5.
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- Olympic Pole Vault The graph in Figure 7 indicates that in recent years the winning Olympic men’s pole vault height has fallen below the value predicted by the regression line in Example 2. This might have occurred because when the pole vault was a new event there was much room for improvement in vaulters’ performances, whereas now even the best training can produce only incremental advances. Let’s see whether concentrating on more recent results gives a better predictor of future records. (a) Use the data in Table 2 (page 176) to complete the table of winning pole vault heights shown in the margin. (Note that we are using x=0 to correspond to the year 1972, where this restricted data set begins.) (b) Find the regression line for the data in part ‚(a). (c) Plot the data and the regression line on the same axes. Does the regression line seem to provide a good model for the data? (d) What does the regression line predict as the winning pole vault height for the 2012 Olympics? Compare this predicted value to the actual 2012 winning height of 5.97 m, as described on page 177. Has this new regression line provided a better prediction than the line in Example 2?Urban Travel Times Population of cities and driving times are related, as shown in the accompanying table, which shows the 1960 population N, in thousands, for several cities, together with the average time T, in minutes, sent by residents driving to work. City Population N Driving time T Los Angeles 6489 16.8 Pittsburgh 1804 12.6 Washington 1808 14.3 Hutchinson 38 6.1 Nashville 347 10.8 Tallahassee 48 7.3 An analysis of these data, along with data from 17 other cities in the United States and Canada, led to a power model of average driving time as a function of population. a Construct a power model of driving time in minutes as a function of population measured in thousands b Is average driving time in Pittsburgh more or less than would be expected from its population? c If you wish to move to a smaller city to reduce your average driving time to work by 25, how much smaller should the city be?Question Two A Deputy Registrar at a certainty university conducted a Chi-Square test of association to establish whether or not employee grade and level of absenteeism were associated. Table 2 below shows part of the results which were obtained. Table 2: Cross tabulation of employee grade and level of absenteeism Contingency Tables Grade LAbsence 1 2 3 Total low Observed 8 1 0 9 Expected 2.90 3.48 2.61 9.00 high Observed 2 11 9 22 Expected 7.10 8.52 6.39 22.00 Total Observed 10 12 9 31 Expected 10.00 12.00 9.00 31.00 2.1 State the appropriate measurement scales for the variables. 2.2 State the null and alternative hypotheses. 2.3 Calculate the expected frequency corresponding to a Grade 3 academic with a high level of absenteeism. 2.4 Find the Chi-Square critical value and test…
- Question #5 A certain statistics instructor participates in triathlons. The accompanying table lists times (in minutes and seconds) he recorded while riding a bicycle for five laps through each mile of a 3-mile loop. Use a 0.05 significance level to test the claim that it takes the same time to ride each of the miles. Does one of the miles appear to have a hill? View the data table of the riding times. Riding times (minutes and seconds) Mile 1 3:14 3:23 3:23 3:22 3:22 Mile 2 3:18 3:23 3:20 3:16 3:18 Mile 3 3:33 3:30 3:28 3:30 3:30 (Note: when pasting the data into your technology, each mile row will have separate columns for each minute and second entry. You will need to convert each minute/second entry into seconds only.) Find the F test statistic. F= ___________ (Round to four decimal places as needed.) Find the P-value…QUESTION 4 (a) The researcher is concerned that older persons may not be knowledgeable of the COFLU-20. As such, he is interested in investigating the association between the age of the respondents and their knowledge level. Table 2 below shows the knowledge level of respondents, by age group. Table 2 Age Group Knowledge Level Total Poor Satisfactory Good 18 - 25 33 16 13 62 26 - 34 30 18 12 60 35 - 44 29 14 12 55 45 - 54 36 16 18 70 55 - 75 17 14 22 53 Total 145 78 77 300 (b) Finally, the researcher is interested in examining the regression model for knowledge, attitude and practices towards the COFLU-20. The following model was developed to forecast individual practices towards COFLU-20 using knowledge and attitude scores. P = α + β K + δ A where P = Practice towards COFLU-20 score K = Knowledge towards COFLU-20 score A = Attitude towards COFLU-20 score The data are processed using…Question 5: A college is interested in if the year of receiving high-level education (college and above) influences students’ salaries when they join the working field. The college randomly selected 4 students who recently received a full- time work offer and collected their year of receiving high-level education and salary per week. The raw data is: Participant Year of high-level education Salary per week Participant 1 4 1150 Participant 2 5 1300 Participant 3 7 1600 Participant 4 2 750 Plot the scatterplot and label the participants. Calculate the correlation coefficient between the year of high-level education and salary per week. Calculate the regression equation using the year of receiving high-level education to predict the salary per week. If a student graduate from college and graduate school in a total of 6 years, what is this student’s predicted salary per week?