Questions 1-5 refer to the small group of data shown below. X Y 4 3 2 2 0 7 4 5 6 2 (ΣX)(ΣY) is equal to:
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Questions 1-5 refer to the small group of data shown below.
X |
Y |
4 |
3 |
2 |
2 |
0 |
7 |
4 |
5 |
6 |
2 |
- (ΣX)(ΣY) is equal to:
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- Question 1The following table shows the number of shirts by sizes that are manufactured in a factory on aparticular week:Extra Small Small Medium Large Extra Large 390 470 520 680 440a) It was discovered that the sizing of some shirts was labelled incorrectly.(i) Give two reasons why it would be necessary to examine a sample of the shirts producedrather than examine the entire weekly production.(ii) State two differences between a cluster sample and a stratified random sample in thissituation. (iii) Using the stratified random sampling technique, calculate the number of medium shirtsthat will be selected if we require a sample of 375 shirts.Question 9 The relationship between annual salary (in US dollars) and race was estimated as below in a linear format. (White employees were coded as 0 and Non-White employees were coded as 1.) Annual Salary = -17,472 * Non-White + 48,253 (The p-value for the coefficient of Non-White is 0.01.) Base on the above equation, which of the following statements are true? A.) White employees are expected to receive 17,472 dollars more than non-white employees. B.) In the sample used to estimate the equation, the average pay of non-white employees is 17,472 dollars. C.)In the sample used to estimate the equation, the average pay of white employees is 30,781 dollars. D.)In the sample used to estimate the equation, the average pay of non-white employees is 48,253 dollars.Question 19: Based on the data shown below, a statistician calculates a linear model y=−2.23x+48.46y=-2.23x+48.46. x y 4 40.7 5 36.2 6 34.1 7 34.3 8 28.9 9 28.3 10 27.8 11 25.5 12 19.4 13 19.9 Use the model to estimate the y-value when x=4x=4y = Use the model to estimate the y-value when x=8x=8y =
- For question 2.37 part a, Why are the mu and sigma parameters calculated like that?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 32 Statistics students in Oxnard College sampled 10 textbooks in the Condor bookstore and recorded the number of pages in each textbook and its cost. The bivariate data are shown below: Number of Pages (xx) Cost(yy) 575 95.25 351 60.65 788 137.2 600 108 393 75.95 897 155.55 504 76.6 571 86.65 516 79.4 986 166.9 A student calculates a linear modely = __________x +_____________ . (Please show your answers to two decimal places)Use the model to estimate the cost when number of pages is 829.Cost = $___________- (Please show your answer to 2 decimal places.)
- Question 4 a The researcher is concerned that older persons may not be knowledgeable of the COFLU-20. Assuch, he is interested in investigating the association between the age of the respondents and theirknowledge level. Table 2 below shows the knowledge level of respondents, by age group.Table 2Age Group Knowledge Level TotalPoor Satisfactory Good18 - 25 33 16 13 6226 - 34 30 18 12 6035 - 44 29 14 12 5545 - 54 36 16 18 7055 - 75 17 14 22 53Total 145 78 77 300 Conduct a test, at the 5% level of significance, to determine whether the data provided sufficientevidence to conclude that an association exists between age group and knowledge level. (i) State the hypotheses to be tested:H0:H1: Calculate:(ii) state the degrees of freedom for this test (iii) the p-value for this test, given that the chi-square test statistic, x2, is 11.029. (iv) state the conclusion for the test. Give reason for your answer.QUESTION 4(a) The researcher is concerned that older persons may not be knowledgeable of the COFLU-20. Assuch, he is interested in investigating the association between the age of the respondents and theirknowledge level. Table 2 below shows the knowledge level of respondents, by age group.Table 2Age Group Knowledge Level TotalPoor Satisfactory Good18 - 25 33 16 13 6226 - 34 30 18 12 6035 - 44 29 14 12 5545 - 54 36 16 18 7055 - 75 17 14 22 53Total 145 78 77 300Conduct a test, at the 5% level of significance, to determine whether the data provided sufficientevidence to conclude that an association exists between age group and knowledge level.(i) State the hypotheses to be tested:H0:H1: Calculate:(ii) state the degrees of freedom for this test (iii) the p-value for this test, given that the chi-square test statistic, 2, is 11.029.(iv) state the conclusion for the test. Give reason for your answer.question 18 The table below shows the number of state-registered automatic weapons and the murder rate for several Northwestern states. xx 11.5 8.1 7.2 3.5 2.9 2.8 2.2 0.3 yy 14.1 10.6 10.1 6.9 6.8 6.3 6.1 4.6 xx = thousands of automatic weaponsyy = murders per 100,000 residentsThis data can be modeled by the equation y=0.84x+4.16.y=0.84x+4.16. Use this equation to answer the following;A) How many murders per 100,000 residents can be expected in a state with 2.7 thousand automatic weapons?Answer = _________ Round to 3 decimal places.B) How many murders per 100,000 residents can be expected in a state with 4.1 thousand automatic weapons?Answer = ___________ Round to 3 decimal places.
- Question 12** The following table lists the approximate number of adults (18+) who are obese (BMI ≥ 25) in North America in 2014 by country and gender. Female Obese Male Obese Female Not Obese Male Not Obese Canada 11 M 12 M 7 M 6 M Mexico 40 M 37 M 21 M 22 M U.S.A. 101 M 113 M 61 M 44 M (adapted from http://apps.who.int/gho/data/node.main.A897A?lang=en) Based on this data, what is the probability that a randomly selected male in North America will be obese? Answer in decimal form. Round to 3 decimal places as needed. Your Answer: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…Find question 3 using the data in question 1.