Road A: μ = 54 minutes and σ = 5 minutes. Road B: μ = 57 minutes and σ = 10 minutes.
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Mr. Dela Cruz can take either two roads to the airport from his home (Road A or Road B). Owing to varying traffic conditions that travel times on two roads are not fixed, rather on a Friday around noon that travel times across these roads can be approximated per
Road A: μ = 54 minutes and σ = 5 minutes.
Road B: μ = 57 minutes and σ = 10 minutes.
Which road should he choose if on Friday noon he must be at the airport within 50 minutes to pick up his wife?
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- Your task is to find out whether the dinosaur was walking, jogging, or running and get its moving pattern. Fill out the missing information to get started. Condition: • Stride length: 1 x 106 micrometers s Stride length 3 Dinosaur was running Stride length Leg length (in micrometer) Leg length = 4 x Footprint length (in micrometer) (in micrometer) Dinosaur's foot length Dinosaur Relative speed YJerry is considering opening a new ice cream store at a certain location on State Street in Madison. Jerry conducts some analysis and determines that a given location is acceptable only if the number of pedestrians passing the potential location averages more than 100 per hour. To check if this location is acceptable, Jerry records the number of pedestrians observed for each of 40 hours. Jerry finds that the average number of pedestrians that pass the potential location during each of the 40 hours he was observing, is 105.7 per hour. Jerry assumes that he knows the population standard deviation to be 16. Can Jerry conclude at the 1% significance level that the potential location for the ice cream store is acceptable? a. What is the correct set of hypotheses? Answer: Ho: u = 100 and H1: u> 100 v b. Determine the p-value Answer: 0.0122 c. Interpret the results Answer: There is not enough evidence d. Jerry is concerned with committing a Type II error. Determine the probability of Type II…Consider the traffic flow described by the following diagram. The letters A through D label intersections. The data was obtained by counting the number of vehicles that travelled around the four one-way streets between the hours of 6 am to 10 am, and 2 pm to 6 pm during the mid-week peak traffic hours. The arrows in the diagram indicate the direction of flow of traffic in and out of the network that is measured in terms of number of vehicles per hour (vph). 3a) Write the system of linear equations for each intersection. 3b) Use Gauss-Jordan elimination to solve the system.
- A sample of ten commuters were asked for the distance and the time required commuting to their jobs on a given day. The data is shown in the table along with some calculations from the data. Which of the following statements are true in reference to this data? Distance x I 3 717 18 1011012 Time =y 5 10 15 2015 25 2025 35 35 From the data one obtains: = 276 SS = 103.6 SS SS = 872.5 EX =68 2Y = 205 I) X and Y show a positive correlation with r = .918 II) X and Y show a positive correlation with r = .843 III) Approximately 84.3% of the variation in time is explained by distance O l only O Il only O III only O I and III only Il and III only O I, II, and lII are all trueLet Q,, Q2 and Q, be dummy variables with the value 1 indicating observations are from first, second and third quarters and the value 0 otherwise, respectively. If the investigator estimates company sale measured in million dollars as sale = 4+ 20, +2.5Q2 +30,, then the investigator: O a. forecasts sale for the first quarter to be 3.5 m$. O b. forecasts sale for the first quarter to be 3 m$. O c. forecasts sale for the first quarter to be 1 m$. O d. forecasts sale for the last quarter to be 8.5 m$. e. forecasts sale for the last quarter to be 4 m$.There is a lot of data that we could collect about individuals on a treadmill, like data on the type of exercise(walking, jogging, running), or data on how they exercise/20mi mins, 30 mins, hour). List three more examples of each type of data, and how the data would be measured.
- The table below shows the number of state-registered automatic weapons and the murder rate for several Northwestern states. xx 11.8 8.6 6.6 3.8 2.4 2.6 2.3 0.8 yy 13.9 11.1 9.9 7.1 6.4 6.4 5.8 4.7 xx = thousands of automatic weaponsyy = murders per 100,000 residentsUse your calculator to determine the equation of the regression line. (Round to 2 decimal places)A) Determine the regression equation in y = ax + b form and write it below. Answer=? B) 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. C) How many murders per 100,000 residents can be expected in a state with 7.2 thousand automatic weapons?Answer = ? Round to 3 decimal places.The following table was generated from the sample data of 1010 junior high students regarding the average number of hours they are unsupervised per night, the average number of hours they play video games per night, and their final grades in their math class. The dependent variable is the final grade, the first independent variable (x1x1) is the number of hours unsupervised each night, and the second independent variable (x2x2) is the number of hours of video games each night. Coefficients Standard Error t-Stat p-value Intercept 57.968435 7.227955 8.020032 0.000201 Hours Unsupervised 5.131630 1.314283 3.904510 0.007943 Hours Playing Video Games 1.067855 1.615039 0.661194 0.533040 Indicate if any of the independent variables could be eliminated at theWhen the measure of spread is compared between two data sets, data set A has an interquartile range of 12, and data set B has an interquartile range of 23. How do the values of data set A compare to data set B? The values of data set A are about the same on average as the values of data set B. The values of data set A are more spread out compared to the values of data set B. The values of data set A are less spread out compared to the values of data set B. The values of data set A are less on average compared to the values of data set B.
- From the scatterplots, which of the following is TRUE? * SCATTER PLOT A SCATTER PLOT B Scaterplat al Tast Sre vn Self Laming Time scaterpkat of lest Score vs Self Learing line Sum of squares error (SSE) plot A is smaller than plot B. Both sum of squares error (SSE) are equal. Both plots total sum of squares (SST) are equal. The total sum of squares (SST) plot A is larger than plot B If r? is positive, then the coefficient of correlation cannot be negative. TRUE FALSE Tent SaneTwo varieties of corn are grown in 4 different locations. Each location provides a value in pounds for each variety.The table below lists the results. Find the standard error for the difference in the production of the two corn varieties to two decimal places. Variety 1 Variety 2 difference location 1 32.1 34.5 -2.4 location 2 30.6 32.6 -2.0 location 3 33.7 34.6 -0.9 location 4 29.7 31.6 -1.3 mean value 31.53 33.18 -1.65 standard deviation 1.76 1.72 0.68 1.23 0.75 0.34 0.98Several states have argued that the 65-mph speed limit has no justification and have refused to enforce it. The federal Department of Transportation (DOT) believes that the 65-mph limit saves lives. To illustrate its contention, the department regressed the number of traffic fatalities (Y) last year in a state on the state’s population (X1), the number of days of snow cover (X2), and the average speed of all cars (X3). The results are shown below. Table 10: Model Summary Model R R Square Adjusted R Square Std. Error of the Estimate 1 .821 a .780 .613 3.258 a. Predictors: (Constant), population, days of snow, average speed Table 11: Coefficients Coefficientsa Model Unstandardized Coefficients Standardized Coefficients t Sig. B Std. Error Beta 1 (Constant) 1.4 2.957 .473 .584 Population .00029 .00003 .0034 9.667 .000 Days of Snow 2.4 .62 .759 3.871 .000 Average Speed 10.3 1.1…
