In a study of reaction times of dogs to a specific stimulus, an animal trainer obtained the following data, given in seconds. 3.9 8.2 6.3 8.3 5.2 4.9 7.5 6.9 5.0 7.1 7.0 7.4 5.5 4.6 6.4 6.7 8.5 6.6 7.3 4.3 5.1 8.5 2.5 6.6 6.2 7.9 7.3 3.3 7.2 7.9 7.5 7.7 5.0 5.3 4.1 7.2 8.7 6.6 6.0 3.7 6.3 9.0 7.2 9.5 2.1 3.1 7.2 8.5 4.5 7.8 8.1 4.9 3.5 5.2 6.0 2.8 8.0 8.6 6.1 8.7 7.3 9.4 7.3 4.3 4.8 4.4 4.8 4.4 4.8 4.4 (i) Estimate the number of classes and class width using the Surges’ Rule and corrected to one decimal place (ii) Construct a grouped frequency distribution for the given data. (iii) Compute the mean, median, mode and the standard deviation. (iv) Compute the coefficients of variation

Members of fraternities and sororities are required to volunteer for community service. Do fraternity brothers work fewer volunteer hours on average than sorority sisters? The data below show the number of volunteer hours worked for thirteen randomly selected fraternity brothers and eleven randomly selected sorority sisters. Brothers: 14 7 11 13 9. 11 8 12 7 13 10 13 Sisters: 13 19 16 11 11 19 5 10 16 17 7 | d. The p-value is ? O a e. Based on this, we should Select an answer the null hypothesis. f. Thus, the final conclusion is that ... The results are statistically significant at a = 0.05, so there is sufficient evidence to conclude that the population mean volunteer hours for fraternity brothers is less than the population mean volunteer work hours for sorority sisters. The results are statistically insignificant at a = 0.05, so there is insufficient evidence to conclude that the population mean volunteer hours for fraternity brothers is less than the population mean volunteer work…

A researcher is interested in examining the relationship between ACT scores and college GPA.    Participant ACT  ?̅ = 29.67; ?? = 3.39 GPA  ?̅ = 3.30; ?? = .52 1 24 2.75 2 28 3.25 3 29 3.50 4 35 3.75 5 34 4.00 6 30 3.80 7 29 2.60 8 27 2.68 9 31 3.36 Predict the GPA from an ACT score of 22. Predict the GPA from an ACT score of 25. Find the standard error of the estimate. What does this tell you about your predictions?

The accompanying data are x = advertising share and y = market share for a particular brand of soft drink during 10 randomly selected years. x 0.104 0.072 0.072 0.077 0.086 0.047 0.060 0.050 0.070 0.052 y 0.137 0.127 0.120 0.086 0.079 0.076 0.065 0.059 0.051 0.039   b)Calculate the equation of the estimated regression line. (Round your answers to four decimal places.)   d)Calculate a point estimate of ?e. (Round your answer to five decimal places.)

A research group is conducting an experiment to study the relationship between fitness levels and the number of hours spent exercising each week. Subjects are randomly selected and, after several fitness tests, are assigned a fitness score. The number of hours spent exercising per week is also recorded. Data for 15 subjects are given below. Subject Hours of Exercise per Week Fitness Score 1 1 3 2 1.5 4.7 3 1.75 6 4 2 5 5 2 6.5 6 4.5 14.2 7 2.5 13.5 8 3.25 15 9 3 13.4 10 3.75 14 11 3.5 10 12 4 10 13 2.5 12 14 5.25 14.5 15 5 15 Create a bar graph in Microsoft® Excel® using the data. Label the graph and include the source of the data. Construct an equation in two variables that models this relationship. This equation may be linear, polynomial, rational, square root, or variation? Is the equation an exact model or an approximate model of the relationship between the variables? Explain your reasoning. Use the equation to make a prediction of the likely value of the…

Johnson and Leone describe an experiment to investigate the warping of copper plates. The two factors studied were temperature and the copper content of the plates. The response variable was a measure of the amount of warping. The data are as follows: Temperature (°C) 50 75 100 Copper Content (%) 40 60 80 100 17 20 12 9 16 12 21 17 21 16 24 21 18 13 18 21 ZZFEHERRE 23 22 27 17 27 31 30 23 29 31 12 25 23 23 28 22 125 Source: Applied Statistics and Probability for Engineers, 6th Edition, Douglas, C. Montgomery & George, C. Runger. 1. Draw and interpret the interaction plot. ii. Is there any significant interaction between the factors? Use a = 0.05. ii. Can your interpretation in (i) be validated in (ii)? Twelve plants are randomly