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- Q1 (а) і. 10,000 vehicle speed traffic data were collected during the weekday on route FT050 at Batu Pahat, Johor. Suggest how to quantify and describe the basic characteristic of this data. Then explain how the method you suggested can help others to understand the data.The variable X, is the carbon monoxide concentration in air, and ten measurements are obtained as follows: 10.25, 10.37, 10.66, 10.47, 10.56, 10.22, 10.44, 10.38, 10.63, 10.40 mg/m3 . (i) Test whether the mean concentration of carbon monoxide in air is 10.00 mg/m3 . (ii) Calculate the power of the above test if the mean concentration of carbon monoxide in the alternative hypothesis is assumed to be 10.75mg/m3 .3.1 2.8 2.9 4734 2.7 3 h(q) 3799 5899 7351 9160 Estimate h'(2.9) using the table above. h'(2.9) ~
- A population of N=15 has a mean =8 one score in the population is changed from X=20 to X-5.What is the value for thr new population mean?Give an example of a variable that can be used asinstrumentfor the following endogeneity problems. In eachcase,explain why you think this is a good instrument.i.Y = Demand for Ethanol& X =EthanolPriceii.Y = Earnings & X = Leisure TimeThe acceptable level for insect filth in a certain food item is 5 insect fragments (larvae, eggs, body parts, and so on) per 10 grams. A simple random sample of 50 ten-gram portions of the food item is obtained and results in a sample mean of x = 5.3 insect fragments per ten-gram portion. Complete parts (a) through (c) below. o: = 0.316 (Round to three decimal places as needed.) (c) What is the probability a simple random sample of 50 ten-gram portions of the food item results in a mean of at least 5.3 insect fragments? P(x 2 5.3) = ||| (Round to four decimal places as needed.)
- 5. Suppose the study conducted showing gender difference in salary of management graduates students Y=25.20 +8.25D + 1.25X t (32.85) (10.45) (15.11) Where Y is income in thousands Find, D is a dummy variable taking on the value of 1 if male 0 for female X = years of experience a. Mean salary of females assuming zero years of experience b. Mean salary of Males assuming three years of experienceIf we know the average speed (s1) for an unknown distance, d, and the average speed (s2) of a second journey across the same distance, d, how can we calculate the average speed of the two journeys? {Values of time and distance are not known}Twelve workers at a production line were asked to take a special three-day intensive course to improve their productivity. At the beginning and again at the end of the course, they were given a particular task to see the improvement in their productivity. Based on the data recorded for the two variables Number of years of experience X and Improvement (number of units per minute) Y, the following sums were calculated. xi = 96, yi = 132, xi2 = 892, yi2 =1510, xiyi= 1110 Consider estimating a simple linear regression model of the form y = b1 + b2x + e Q2. Sample mean of X, X, is 96 12 8 11 Q3. Sample Variance of Y, SY2, is 5.72 11.27 5.27 4.91 Q4. Sample correlation between X and Y, Corr(X, Y), is 0.46 0.50 0.64 -0.64