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- Which of the scatter diagrams below suggests a strong positive linear relationship between the x and y variables?In a study conducted recently, the body weight of youth wresting team in Mongolia are found to be as follows: Body weight Class(kg) Frequency (Wrestlers) 70 < X ≤ 80 5 80 < X ≤ 90 14 90 < X ≤ 100 21 100 < X ≤ 110 26 110 < X ≤ 120 35 120 < X ≤ 130 23 130 < X ≤ 140 18 140 < X ≤ 150 15 150 < X ≤ 160 7 Construct an Ogive curve reflecting the above data. Approximately what percentage of the wrestlers weigh less than 130kg? Approximately what percentage of the wrestlers weigh between 85kg and 145kg Approximately what is the body weight of the top 30% youth wrestlers?An organization that tracks crime statistics reports that cars of make A model U, make A model V, and make B model W are the cars most frequently reported stolen, while cars of make C model X, make D model Y, and make E model Z are stolen least often. Is it reasonable to say that there's a correlation between the type of car a person owns and the risk that it will be stolen? Choose the correct answer below. A. No, because there is clearly no association between the two variables. B. Yes, since there is clearly an association between the two variables. C. No, since the type of car a person owns is not a quantitative variable. D. Yes, since it is reasonable to find a correlation between any two variables. E. No, since there are too few data points to use correlation.
- A paper investigated the driving behavior of teenagers by observing their vehicles as they left a high school parking lot and then again at a site approximately 1 2 mile from the school. Assume that it is reasonable to regard the teen drivers in this study as representative of the population of teen drivers. Amount by Which Speed Limit Was Exceeded MaleDriver FemaleDriver 1.2 -0.1 1.4 0.4 0.9 1.1 2.1 0.7 0.7 1.1 1.3 1.2 3 0.1 1.3 0.9 0.6 0.5 2.1 0.5 (a) Use a .01 level of significance for any hypothesis tests. Data consistent with summary quantities appearing in the paper are given in the table. The measurements represent the difference between the observed vehicle speed and the posted speed limit (in miles per hour) for a sample of male teenage drivers and a sample of female teenage drivers. (Use μmales − μfemales.Round your test statistic to two decimal places. Round your degrees of freedom down to the nearest whole number. Round your p-value to…A paper investigated the driving behavior of teenagers by observing their vehicles as they left a high school parking lot and then again at a site approximately 1 2 mile from the school. Assume that it is reasonable to regard the teen drivers in this study as representative of the population of teen drivers. Amount by Which Speed Limit Was Exceeded MaleDriver FemaleDriver 1.3 -0.1 1.3 0.4 0.9 1.1 2.1 0.7 0.7 1.1 1.3 1.2 3 0.1 1.3 0.9 0.6 0.5 2.1 0.5 (a) Use a .01 level of significance for any hypothesis tests. Data consistent with summary quantities appearing in the paper are given in the table. The measurements represent the difference between the observed vehicle speed and the posted speed limit (in miles per hour) for a sample of male teenage drivers and a sample of female teenage drivers. (Use μmales − μfemales.Round your test statistic to two decimal places. Round your degrees of freedom down to the nearest whole number. Round your p-value to…A researcher wants to determine if the number of years of education for a parent correlates with the number of years of education for their child. The table shows the number of years of education of the parent and the number of years of education of their child for a random sample of 7. Years of Education of Parent 13 9 12 10 12 10 12 Years of Educations of their Child 15 11 10 16 17 12 17 Conduct a hypothesis test to determine if there is a significant linear correlation between the two variables. Use α = 0.05. What is the test statistic for this hypothesis test? A researcher wants to determine if the number of years of education for a parent correlates with the number of years of education for their child. The table shows the number of years of education of the parent and the number of years of education of their child for a random sample of 7. Years of Education of Parent 13 9 12 10 12 10 12 Years of Educations of their Child 15 11 10 16 17 12 17…
- A researcher wants to determine if the number of years of education for a parent correlates with the number of years of education for their child. The table shows the number of years of education of the parent and the number of years of education of their child for a random sample of 7. Years of Education of Parent 13 9 12 10 12 10 12 Years of Educations of their Child 15 11 10 16 17 12 17 Conduct a hypothesis test to determine if there is a significant linear correlation between the two variables. Use α = 0.05. What is the p-value for this hypothesis test? 0.9378 0.3914 0.1496 0.3867A researcher wants to determine if the number of years of education for a parent correlates with the number of years of education for their child. The table shows the number of years of education of the parent and the number of years of education of their child for a random sample of 7. Years of Education of Parent 13 9 12 10 12 10 12 Years of Educations of their Child 15 11 10 16 17 12 17 Conduct a hypothesis test to determine if there is a significant linear correlation between the two variables. Use α = 0.05. What is the decision for this hypothesis test? Reject the null because the absolute value of the test statistic is greater than the critical value and the p-value is less than alpha. Fail to reject the null because the absolute value of the test statistic is less than the critical value and the p-value is greater than alpha. Reject the null because the absolute value of the test statistic is less than the critical value and the p-value is greater than alpha.…A research group is interested in the relationship between exposure to mold in households after a major hurricane and the onset of acute respiratory illness in children. Suppose an observational study is conducted over 10 years following the natural disaster and the following two-by-two table was created in order to address the relationship between exposure and outcome. Acute Respiratory Illness No Acute Respiratory Illness Total Mold 378 156 534 No Mold 73 260 333 Total 451 416 867 Calculate the incidence of acute respiratory illness in the exposed and unexposed. Calculate the relative risk for ARI due to exposure in this study Interpret your findings from part B
- The regional transit authority for a major metropolitan area wants to determine whether there is any relationship between the age of a bus and the annual maintenance cost. A sample of 10 buses resulted in the data in Worksheet 2. Worksheet 2 Age of a Bus (years) Maintenance Cost ($) 1 350 2 370 2 480 2 520 2 590 3 550 4 750 4 800 5 790 5 950 At the 0.05 level of significance, is there evidence of a linear relationship between the age of a bus and the annual maintenance cost.A researcher wants to determine the causal relationship among number of family members who are at least high school graduate (W), number of working family members (X), monthly gross income (Y), monthly expenditure (Z), and average monthly bank deposits (A). A random sample of 20 families was selected and the data on the variables were collected: Consider the following path diagram Consider the R outputs from the conducted path analysis. c. Identify the factors affecting the endogenous variables. Leave blank if variable is exogenous. W: X: Y: Z: A: d. Illustrate the output path diagram including the estimated path coefficients.The following table shows a sample dataset of observation values of an independent variable, x, and a dependent variable, y x 4 5 3 6 10 y 4 6 5 7 7 Compute the correlation coefficient between the two variables