Answered: A national highway study claims that by…

A national highway study claims that by average 1.7 accidents happen every 100-km length annually. What is the likelihood that no accident in a 10-km stretch? 0.033 0.183 0.215 0.844

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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The distances golf balls travel under laboratory testing conditions are normally distributed. The mean is 313 yards. The probability the golf ball travels further than 322 yards is 0.13. Find the probability a randomly selected golf ball travels between 304 yards and 322 yards. Express the answer as a decimal value rounded to the nearest hundredth.
Weatherwise is a magazine published by the American Meteorological Society. One issue gives a rating system used to classify Nor'easter storms that frequently hit New England and can cause much damage near the ocean. A severe storm has an average peak wave height of ? = 16.4 feet for waves hitting the shore. Suppose that a Nor'easter is in progress at the severe storm class rating. Peak wave heights are usually measured from land (using binoculars) off fixed cement piers. Suppose that a reading of 38 waves showed an average wave height of x = 17.3 feet. Previous studies of severe storms indicate that ? = 3.5 feet. Does this information suggest that the storm is (perhaps temporarily) increasing above the severe rating? Use ? = 0.01. a) State the null and alternate hypotheses. choose one:H0: ? < 16.4 ft; H1: ? = 16.4 ftH0: ? = 16.4 ft; H1: ? < 16.4 ft H0: ? > 16.4 ft; H1: ? = 16.4 ftH0: ? = 16.4 ft; H1: ? > 16.4 ftH0: ? = 16.4 ft; H1: ? ≠ 16.4 ft (b What sampling…
The highway department wants to estimate the proportion of vehicles on a Toll road at KM 25 between midnight and 5:00 A.M. The department head wanted to see how many 18-wheel tractor trailers passed along the road. These estimates will be used to determine road improvement and construction considerations and in road patrol planning. The department head asked researchers to calculate the estimated vehicles at different locations on the inter-island road over the past 7 days. Of the 3,481 vehicles counted, 927 were 18 wheelers. However, out of a total of 927, there were 74 who had accidents, so the sample was calculated based on the results of reducing the number of accidents. Determine the point estimate for the proportion of vehicles traveling on KM 25 during this time period which are 18 wheelers! (Assume the confidence level is 99%). What is the benefit of estimating the estimated value in this case (analyze the answers you have obtained)?
According to the National Climatic Data Center, San Juan, Puerto Rico, experienced127 days of measurable precipitation(rain) in 1995. This was more days of rain themany of the other weather station reported that year, but it was not considered unusualfor San Juan. By comparison, the situation at Phoenix Arizona, reported 31 days ofprecipitation during the same year (again, not unusual).i. Suppose you were taking a one-day business trip to San Juan. What is theprobability that it will rain while you are there?ii. Suppose you decide instead to take your trip to Phoenix. What is theprobability that measurable precipitations will occur while you are there?
weatherwise is a magazine published by the American Meteorological Society. One issue gives a rating system used to classify Nor'easter storms that frequently hit New England and can cause much damage near the ocean. A severe storm has an average peak wave height of ? = 16.4 feet for waves hitting the shore. Suppose that a Nor'easter is in progress at the severe storm class rating. Peak wave heights are usually measured from land (using binoculars) off fixed cement piers. Suppose that a reading of 36 waves showed an average wave height of x = 16.9 feet. Previous studies of severe storms indicate that ? = 3.5 feet. Does this information suggest that the storm is (perhaps temporarily) increasing above the severe rating? Use ? = 0.01. What is the value of the sample test statistic? Round two decimal places.
Please in detail explanation
In Major League baseball, the speed of a pitch is very important. How fast is the speed of a major league pitchers average pitch? A researcher took a random sample of the speed of 16 pitches from the 2019 Major League baseball season. The following are the speeds of these pitches in miles per hour: 92.8, 87.0, 89.1, 96.2, 75.6, 89.6, 92.5, 83.3, 86.5, 95.6, 94.1, 91.6, 94.2, 93.4, 90.0 It is reasonable to treat these measurements as coming from a normal distribution with unknown mean μ and unknown standard deviation σ d) Find the sample standard deviation of the above data e) Find the sample median of the above data. f)Create a 90% confidence interval for μ. ( , )
The highway department wants to estimate the proportion of vehicles on a Highway at KM 25 between midnight and 5:00 A.M. The head of the department wants to see how many 18-wheel tractor trailers pass on the road. These estimates will be used to determine highway repairs and construction considerations and in highway patrol planning. The department chief asked investigators to calculate estimates of vehicles at different locations on inter-island roads over the past 7 days. From 3,481 vehicles counted there are 927 are 18-wheel drive. However, out of the total 927, there were 51 vehicles that had accidents so that the sample was calculated based on the results of a reduction in the number of accidents. Specify an approximate point for the proportion of vehicles performingtravel on KM 25 during this time period which is an 18-wheeled vehicle!(Assume the confidence level is 99%). What are the benefits of estimating value estimates in this case (analysis of the answers you have obtained)?
An engineer wishes to determine the width of a particular electronic component. If she knows that the standard deviation is 2.3 mm, how many of these components should she consider to be 99% sure of knowing the mean will be within ±0.4±0.4 mm? 220 179 23 15 1161
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Weatherwise is a magazine published by the American Meteorological Society. One issue gives a rating system used to classify Nor'easter storms that frequently hit New England and can cause much damage near the ocean. A severe storm has an average peak wave height of ? = 16.4 feet for waves hitting the shore. Suppose that a Nor'easter is in progress at the severe storm class rating. Peak wave heights are usually measured from land (using binoculars) off fixed cement piers. Suppose that a reading of 38 waves showed an average wave height of x = 16.7 feet. Previous studies of severe storms indicate that ? = 3.5 feet. Does this information suggest that the storm is (perhaps temporarily) increasing above the severe rating? Use ? = 0.01. a) What is the value of the sample test statistic? (Round your answer to two decimal places.)
Weatherwise is a magazine published by the American Meteorological Society. One issue gives a rating system used to classify Nor'easter storms that frequently hit New England and can cause much damage near the ocean. A severe storm has an average peak wave height of ? = 16.4 feet for waves hitting the shore. Suppose that a Nor'easter is in progress at the severe storm class rating. Peak wave heights are usually measured from land (using binoculars) off fixed cement piers. Suppose that a reading of 40 waves showed an average wave height of x = 17.5 feet. Previous studies of severe storms indicate that ? = 4.0 feet. Does this information suggest that the storm is (perhaps temporarily) increasing above the severe rating? Use ? = 0.01. Solve the problem using the critical region method of testing (i.e., traditional method). (Round your answers to two decimal places.) test statistic = critical value = State your conclusion in the context of the application. Reject the null…