Speed test. A police radar always overestimates the speed of incoming cars by an amount that is uniformly distributed between 0 and 10 km/hour. Assume that car speeds are uniformly distributed between 80 and 120 km/hour. If the radar's measurement for a car's speed is 124 km/hour, the LMS estimate of its speed is km/hour.

Speed test. A police radar always overestimates the speed of incoming cars by an amount that is uniformly distributed between 0 and 10 km/hour. Assume that car speeds are uniformly distributed between 80 and 120 km/hour. If the radar's measurement for a car's speed is 124 km/hour, the LMS estimate of its speed is km/hour.

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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It is thought that prehistoric Indians did not take their best tools, pottery, and household items when they visited higher elevations for their summer camps. It is hypothesized that archaeological sites tend to lose their cultural identity and specific cultural affiliation as the elevation of the site increases. Let x be the elevation (in thousands of feet) for an archaeological site in the southwestern United States. Let y be the percentage of unidentified artifacts (no specific cultural affiliation) at a given elevation. Suppose that the following data were obtained for a collection of archaeological sites in New Mexico: 5.00 5.75 6.00 6.50 7.25 12 31 41 52 56 Find o for the equation of the least-squares line y =a+bx. -0.046 20.195 0.046 -0.009 -0.055
It is thought that prehistoric Indians did not take their best tools, pottery, and household items when they visited higher elevations for their summer camps. It is hypothesized that archaeological sites tend to lose their cultural identity and specific cultural affiliation as the elevation of the site increases. Let x be the elevation (in thousands of feet) for an archaeological site in the southwestern United States. Let y be the percentage of unidentified artifacts (no specific cultural affiliation) at a given elevation. Suppose that the following data were obtained for a collection of archaeological sites in New Mexico: x 5.75 6.25 6.75 7.75 8.25 y 31 26 38 74 72 Find the value of the coefficient of determination r2. Round your answer to three decimal places. Group of answer choices –0.061 –0.883 –0.939 0.883
The following data represent the muzzle velocity (in feet per second) of rounds fired from a 155-mm gun. For each round, two measurements of the velocity were recorded using two different measuring devices, resulting in the following data. Complete parts (a) through (d) below. Observation 1 2 3 4 5 6 793.3 792.8 794.8 790.1 793.1 792.3 791.5 802.6 788.3 802.5 791.2 797.6 Click the icon to view the table of critical t-values. A B a) Why are these matched-pairs data? A. The same round was fired in every trial. B. Two measurements (A and B) are taken on the same round. C. All the measurements came from rounds fired from the same gun. D. The measurements (A and B) are taken by the same instrument.
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What is the type of the variable "The average speed of busses traveling through a major crossroad between 7:30 am and 8:30 am on a Sunday"? O a. Qualitative - Ordinal O b. Quantitative - Discrete O c. Qualitative - Nominal O d. Quantitative - Continuous
It is thought that prehistoric Indians did not take their best tools, pottery, and household items when they visited higher elevations for their summer camps. It is hypothesized that archaeological sites tend to lose their cultural identity and specific cultural affiliation as the elevation of the site increases. Let x be the elevation (in thousands of feet) for an archaeological site in the southwestern United States. Let y be the percentage of unidentified artifacts (no specific cultural affiliation) at a given elevation. Suppose that the following data were obtained for a collection of archaeological sites in New Mexico: x 5.00 6.00 6.50 7.50 8.00 y 25 55 64 66 75 Find a for the equation of the least-squares line y=a+bx given that x=6.6 and y=57. Group of answer choices –57.039 –41.421 57.039 –56.621 –56.679
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Determine upper and lower estimates of how much water leaked from the water line during the hour.
Wolf packs tend to be large extended family groups that have a well-defined hunting territory. Wolves not in the pack are driven out of the territory or killed. In ecologically similar regions, is the size of an extended wolf pack related to size of hunting region? Using radio collars on wolves, the size of the hunting region can be estimated for a given pack of wolves. Let x represent the number of wolves in an extended pack and y represent the size of the hunting region in km2/1000. The following data are representative of one of the national parks. x wolves 29 37 22 61 94 y km2/1000 7.35 12.18 8.15 15.39 16.81 (a) Verify that Σx = 243, Σy = 59.88, Σx2 = 15,251, Σy2 = 788.2256, Σxy = 3362.04, and r ≈ 0.9135. Σx Σy Σx2 Σy2 Σxy r (b) Use a 1% level of significance to test the claim ρ > 0. (Use 2 decimal places.) t critical t (c) Verify that Se ≈ 1.9804, a ≈ 5.5942, and b ≈ 0.13131. Se a b
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You Got Gas have developed a new type of fuel additive that supposedly increases car speed. Before they put it out on the market, however, they need to test if it really is a difference compared to standard fuel. So, they took 6 vehicles and calculated the time it takes to for them to drive 1 mile going as fast as they can. They received the following data: Car ID# Course time (standard fuel in minutes) Course time (w/ additive in minutes) 1 35 27 2 40 35 3 25 27 4 40 39 5 95 94 6 32 18 6. What is the null and research hypothesis for this study? 7. What type of statistical test should we use to compare means (z-test, independent t-test, dependent t-test, or ANOVA)? Why? 8. What are the degrees of freedom? What are the critical values for that statistical test with this data at α = 0.05? α = 0.01? 9. Comparing the groups, is there a significant difference at α = 0.05 in lap time between eating the name bran and when they ate Dog Go? 10. How would the researcher…