In a seismic hazard analysis, the magnitude of the earthquake (Richter's scale) ismodeled with a Type II asymptotic distribution of the largest value. In a certaingeographical area, data have been collected for 50 years, and the annual maximumvalues of the earthquake magnitude have a mean value of 4.0 and a standarddeviation of 1.4. It is estimated that an earthquake with a magnitude of 7.0 or morewill devastate the region. What is the probability that the annual maximummagnitude will be greater than or equal to 7.0? Compute the same probability if TypeI is assumed instead of Type II.

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Answered: In a seismic hazard analysis, the…

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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QUESTION 26 The monthly salaries of employees of a construction company is normally distributed and averaged at AED 14000 with a standard deviation of AED 1600. Find the minimum and the maximum salaries symmetrically distributed around the population mean, that will include 75% of the sample means X, based on samples of 16 employees. Round your answer to the nearest dirham.
From generation to generation, the mean age when smokers first start to smoke varies. However, the standard deviation of that age remains constant at around 2.1 years. A survey of 41 smokers of this generation was done to see if the mean starting age is at least 19. The sample mean was 18.2 with a sample standard deviation of 1.3. Do the data support the claim at the 5% level? Note: If you are using a Student's t-distribution for the problem, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.) Part 1) Sketch a picture of this situation. Label and scale the horizontal axis and shade the region(s) corresponding to the p-value Part 2) Alpha (Enter an exact number as an integer, fraction, or decimal.)α = Part 3) Construct a 95% confidence interval for the true mean. Sketch the graph of the situation. Label the point estimate and the lower and upper bounds of the confidence interval. (Round your lower and upper…
From generation to generation, the mean age when smokers first start to smoke varies. However, the standard deviation of that age remains constant at around 2.1 years. A survey of 42 smokers of this generation was done to see if the mean starting age is at least 19. The sample mean was 18.1 with a sample standard deviation of 1.3. Do the data support the claim at the 5% level?Note: If you are using a Student's t-distribution for the problem, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.) State the distribution to use for the test. (Round your answers to four decimal places.) X ~ , What is the test statistic? (If using the z distribution round your answers to two decimal places, and if using the t distribution round your answers to three decimal places.) = What is the p-value? (Round your answer to four decimal places.)
Situation 6
The weights of an adult female population of killer whales are approximately normally distributed with a mean of 18,000 pounds and a standard deviation of 4,000 pounds. The weights of an adult male population of killer whales are approximately normally distributed with a mean of 30,000 pounds and a standard deviation of 6,000 pounds. A certain adult male killer whale weighs 24,000 pounds. This adult male would have the same z-score weight as a female killer whale whose weight, in kilograms, is equal to which of the following? Select one: 1. 24,000 2. 30,000 3. 36,000 4. 21,000 5. 14,000
Chapter 06, Section 6.3, Problem 035 The pucks used by the National Hockey League for ice hockey must weigh between 5.5 and 6.0 ounces. Suppose the weights of pucks produced at a factory are normally distributed with a mean of 5.79 ounces and a standard deviation of 0.14 ounces. What percentage of the pucks produced this factory cannot be used by the National Hockey League? Round your answer to two decimal places. The percentage of pucks that cannot be used is %.
From generation to generation, the average age when smokers first start to smoke varies. However, the standard deviation of that age remains constant at around 2.1 years. A survey of 37 smokers of this generation was done to see if the average starting age is at least 19. The sample average was 18.1 with a sample standard deviation of 1.3. Do the data support the claim at the 5% level? Note: If you are using a Student's t-distribution for the problem, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.) + Part (a) + Part (b) + Part (c) A Part (d) State the distribution to use for the test. (Round your standard deviation to four decimal places.) X - N 19 2.1/37 E Part (e) O Part (f) O Part (g) O Part (h) Indicate the correct decision ("reject" or "do not reject" the null hypothesis), the reason for it, and write an appropriate conclusion. (1) Alpha: a =
Number 103 part D and E
Researchers at the National Weather Center in Portland, Maine recorded the number of 90° days each year since records were first kept, starting in 1875. The number of 90° days form a normal-shaped distribution, with a mean of μ = 9.6 days and a standard deviation of σ = 1.9. To see if the data showed any evidence of climate change (and specifically global warming), they also computed the mean number of 90° days for the most recent n = 4 years and obtained a mean number of days for the past four years of x̅ = 12.25 days. Using a one-tailed test with α = .05, the researchers completed the calculations, but they need your help in drawing an appropriate conclusion. (According to their calculations, the standard error is sM = 0.95, and the sample mean of x̅ = 12.25 days corresponds to a z-score of z = 2.79.) Using the same one-tailed test (α = .05), determine if the data indicate that the past four years have had significantly more 90° days than would be expected for a random sample from…
Question 9 Adult men have heights with a mean of 69.0 inches and a standard deviation of 2.8 inches. Find the z-score of a man 64.7 inches tall. (to 2 decimal places)
The reading speed of second grade students in a large city is approximately normal, with a mean of 91words per minute (wpm) and a standard deviation of 10 wpm. Complete parts (a) through (f).
Lieutenant Commander Data is planning to make his monthly (every 30 days) trek to Gamma Hydra City to pick up a supply of isolinear chips. The trip will take Data about two days. Before he leaves, he calls in the order to the GHC Supply Store. He uses chips at an average rate of i ve per day (seven days per week) with a standard deviation of demand of one per day. He needs a 98 percent service probability. If he currently has 35 chips in inventory, how many should he order? What is the most he will ever have to order?

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