Choose P, Q, and R uniformly at random within the convex region C illustrated beneath. By considering the event that four randomly chosen points form a triangle, or otherwise, show that the mean area of the shaded region is three times the mean area of the triangle PQR. P R
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- Consider the data set A (2,5,5,5,6,8) A) find the mode, median and mean. B) use the computation formula the compute the standard deviationWhich is a negatively skewed distribution?In this problem, assume that the distribution of differences is approximately normal. Note: For degrees of freedom d.f. not in the Student's t table, use the closest d.f. that is smaller. In some situations, this choice of d.f. may increase the P-value by a small amount and therefore produce a slightly more "conservative" answer. The western United States has a number of four-lane interstate highways that cut through long tracts of wilderness. To prevent car accidents with wild animals, the highways are bordered on both sides with 12-foot-high woven wire fences. Although the fences prevent accidents, they also disturb the winter migration pattern of many animals. To compensate for this disturbance, the highways have frequent wilderness underpasses designed for exclusive use by deer, elk, and other animals. In Colorado, there is a large group of deer that spend their summer months in a region on one side of a highway and survive the winter months in a lower region on the other side. To…
- Which of these choices below would be the best choice to address such errors of measurement? a. Broaden the range (i.e., spread) between the control limits. b. Reduce the range between the specification limits. c. Reduce the spread between the control limits. d. Broaden the range between the specification limits. Choices c, and d are true (i.e., reduce the spread between the control limits and broaden the range between the specification limits).In this problem, assume that the distribution of differences is approximately normal. Note: For degrees of freedom d.f. not in the Student's t table, use the closest d.f. that is smaller. In some situations, this choice of d.f. may increase the P-value by a small amount and therefore produce a slightly more "conservative" answer. A survey of houses and traditional hogans was made in a number of different regions of the modern Navajo Indian Reservation. The following table is the result of a random sample of eight regions on the Navajo Reservation. I need help with (c), sketching and (d) and (e)In this problem, assume that the distribution of differences is approximately normal. Note: For degrees of freedom d.f. not in the Student's t table, use the closest d.f. that is smaller. In some situations, this choice of d.f. may increase the P-value by a small amount and therefore produce a slightly more "conservative" answer. The western United States has a number of four-lane interstate highways that cut through long tracts of wilderness. To prevent car accidents with wild animals, the highways are bordered on both sides with 12-foot-high woven wire fences. Although the fences prevent accidents, they also disturb the winter migration pattern of many animals. To compensate for this disturbance, the highways have frequent wilderness underpasses designed for exclusive use by deer, elk, and other animals. In Colorado, there is a large group of deer that spend their summer months in a region on one side of a highway and survive the winter months in a lower region on the other side.…
- In this problem, assume that the distribution of differences is approximately normal. Note: For degrees of freedom d.f. not in the Student's t table, use the closest d.f. that is smaller. In some situations, this choice of d.f. may increase the P-value by a small amount and therefore produce a slightly more "conservative" answer.Is fishing better from a boat or from the shore? Pyramid Lake is located on the Paiute Indian Reservation in Nevada. Presidents, movie stars, and people who just want to catch fish go to Pyramid Lake for really large cutthroat trout. Let row B represent hours per fish caught fishing from the shore, and let row A represent hours per fish caught using a boat. The following data are paired by month from October through April. Oct Nov Dec Jan Feb March April B: Shore 1.6 1.8 1.9 3.2 3.9 3.6 3.3 A: Boat 1.6 1.4 1.7 2.2 3.3 3.0 3.8 Use a 1% level of significance to test if there is a difference in the population mean hours per fish caught using a boat…The dot plots below show the scores for a group of students for two rounds of a quiz: Round 1 ++ 1 2 3 4 5 Score Round 2 : : + i 2 3 4 5 Score Which of the following inferences can be made using the dot plots? ) The range of round 2 is greater than the round 1 range. Round 2 scores are higher than round 1 scores. ORound 1 scores are lower than round 2 scores.A. Find the first quartile B. Find the 2nd quartile C. Find the 3rd quartile
- For a set of observations, Q1 80 and Q3 = 130. Values greater than and less than are possible outliers.The lengths of adult males' hands are normally distributed with mean 193 mm and standard deviation is 7.2 mm. Suppose that 45 individuals are randomly chosen. Round all answers to 4 where possible.In this problem, assume that the distribution of differences is approximately normal. Note: For degrees of freedom d.f. not in the Student's t table, use the closest d.f. that is smaller. In some situations, this choice of d.f. may increase the P-value by a small amount and therefore produce a slightly more "conservative" answer.A survey of houses and traditional hogans was made in a number of different regions of the modern Navajo Indian Reservation. The following table is the result of a random sample of eight regions on the Navajo Reservation. Area on Navajo Reservation Number of Inhabited Houses Number of Inhabited Hogans Bitter Springs 16 15 Rainbow Lodge 18 12 Kayenta 66 44 Red Mesa 9 32 Black Mesa 11 15 Canyon de Chelly 28 47 Cedar Point 50 17 Burnt Water 50 18 Does this information indicate that the population mean number of inhabited houses is greater than that of hogans on the Navajo Reservation? Use a 5% level of significance. (Let d = houses −…
