Question 9A Generalised Extreme Value distribution with parameters below has been selected for flood design ata location in northern NSW having flood data in units ML/day.Scale = 17Shape=-0.7Location = 24Estimate the following:(a) The AEP (as %) for a design flood equivalent to 100 ML/day:(b) The design flood estimate in (ML/day) for AEP=1%

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Answered: Question 9 A Generalised Extreme Value…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question #4 A consumer group claims that the mean minimum time it takes for a sedan to travel a quarter mile is greater than 14.7 seconds. A random sample of 23 sedans has a mean minimum time to travel a quarter mile of 15.5 seconds and a standard deviation of 2.08 seconds. At α=0.05 is there enough evidence to support the consumergroup's claim? Complete parts (a) through (d) below. Assume the population is normally distributed. To Do: 1.) Identify the claim and state H0 and Ha. Do not round. 2.) The claim is the ___ hypothesis 3.) Use technology to determine the P-value. First calculate the standardized test statistic for the t-test, rounding to two decimal places. 4.) Decide whether to reject or fail to reject the null hypothesis. 5.) Interpret the decision in the context of the original claim. a) Interpret the decision in the context of the original claim. And fill in the blanks There is is not enough evidence at the ___%__ level of significance to ____ the claim…
Question 1 (d) A standard method for determination of the carbon monoxide (CO) level in gaseous mixtures is known from many hundreds of measurements to have a standard deviation of 0.21 ppm CO. A moderation of the method yields a value for s of 0.15 ppm CO for pooled data set with 12 degrees of freedom. A second moderation, also based on 12 degrees of freedom, has a standard deviation of 0.12 ppm CO. Is either modification significantly more precise than the original?
QUESTION 9 The Department of Trade and Industry (DTI) conducted a survey to estimate the average number of employees per small and medium-sized enterprises (SME) in Free State. For a random sample of 144 SMEs in Free State, the DTI found that the average number of employees was 24.4. Assume that the population standard deviation is 10.8 employees and that the number of employees per SME is normally distributed. Using this information and rounding off the z or t values that you derive to 2 decimal places, the 95% confidence interval of the average number of employees per SME in Free State is for the lower limit andfor the upper limit. (Note: write your final answers to 3 decimal places and when writing your answer use "." (3.250) instead of "," (3,250) with no spaces between digits).
Question 8 A survey found that women's heights are normally distributed with mean 62.4 inches and standard deviation 2.6 inches The survey also found that men's heights are normally distributed with mean 69.6 inches and standard deviation 3.4 inches Most of the live characters employed at an amusement park have height requirements of a minimum of 57 inches and a maximum of 64 inches 1. The percentage of men who meet the height requirement is _____ Circle which one is correct 2. Since most men (meet/do not meet) the height requirement, it is likely that most of the characters are (women/men) 3. The new height requirements are a minimum of______ inches and and maximum of _______inches
Question 3 Suppose Andrew earns $45,000 EC per month. The average salary for everyone in Andrew’scompany is $41, 000 EC per month with a standard deviation of $7, 000 EC. Suppose Davidearns $38, 000 EC in his company, for which the average salary is $35,000 EC with a standarddeviation of $1,700 EC. Suppose the monthly salary in Andrew’s and David’s company followsa normal distribution, explain who is doing better in comparison to their coworkers and why?
question 20 The amount of time that people spend at Grover Hot Springs is normally distributed with a mean of 71 minutes and a standard deviation of 16 minutes. Suppose one person at the hot springs is randomly chosen. Let X = the amount of time that person spent at Grover Hot Springs . Round all answers to 5 decimal places where possible. c. The park service is considering offering a discount for the 8% of their patrons who spend the least time at the hot springs. What is the longest amount of time a patron can spend at the hot springs and still receive the discount ? minutes.d. Find the Inter Quartile Range (IQR) for time spent at the hot springs.Q1: minutesQ3: minutesIQR: minutes
Question 10: The work week for adults in the US that work full time is normally distributed with a mean of 47 hours. A newly hired engineer at a start-up company believes that employees at start-up companies work more on average then most working adults in the US. She asks 12 engineering friends at start-ups for the lengths in hours of their work week. Their responses are shown in the table below. Test the claim using a 1% level of significance. Give answer to at least 4 decimal places. Hours 49 46 51 52 50 68 47 52 48 50 55 55 What are the correct hypotheses? H0: hoursH1: hours Based on the hypotheses, find the following:Test Statistic=p-value= The correct decision is to . The correct summary would be: that the mean number of hours of all employees at start-up companies work more than the US mean of 47 hours.
Question 1 Suppose the measures to ensure that all manufactured motor vehicles meet requirements with regards to carbon monoxide emission indicate that the standard deviation per unit volume of exhaust fumes must not be in excess of 0.03 percent carbon monoxide emission particles per unit volume. A random sample of ten newly manufactured motor vehicles are tested and the following carbon monoxide emissions are recorded: 0.23 0.27 0.31 0.25 0.30 0.29 0.32 0.26 0.24 0.22 Required to: a) Calculate the point estimate of the standard deviation of the carbon monoxide emissions? b) Calculate the 99% confidence interval estimate for the population variance of the carbon monoxide emissions and give an interpretation? c) Use the critical value approach, test a hypothesis at a 5% level of significance to determine whether the requirements are met? d) Suppose the level of confidence is reduced, what will happen to the answer in b)?
Question 7 A major department store has determined that its customers charge an average of $500 per month, with a standard deviation of $80. Assume the amounts of charges are normally distributed.a. What percentage of customers charges more than $380 per month?b. What percentage of customers charges less than $340 per month?c. What percentage of customers charges between $644 and $700 per month?
Question 2: For use the appropriate grouping method to :a. determine a frequency distribution.b. obtain a relative-frequency distribution.c. construct a frequency histogram.d. construct a relative-frequency histogram. Oxygen Distribution. In the article “Distribution of Oxygen in Surface Sediments from Central Sagami Bay, Japan: In Situ Measurements by Microelectrodes and Planar Optodes” (Deep Sea Research Part I: Oceanographic Research Papers, Vol. 52, Issue 10, pp. 1974–1987), R. Glud et al. explored the distributions of oxygen in surface sediments from central Sagami Bay. The oxygen distribution givesimportant information on the general biogeochemistry of marine sediments. Measurements were performed at 16 sites. A sample of 22 depths yielded the following data, in millimoles per square meter per day, on diffusive oxygen uptake.
Problem 6 The compressive strength of concrete is being tested by a civil engineer. She tests 12 specimens and obtains the following data (in psi): 2213, 2256, 2247, 2203, 2225, 2304, 2289, 2287, 2312, 2252, 2274, 2295. Part a Assuming that the compressive strength is normally distributed, test the hypothesis that the mean strength is at least 2250 psi. Part b Refer to Problem 6. Now assume that the compressive strength is not normally distributed, and test the hypothesis that the median strength is at least 2250 psi. One way to do this is to notice that if the median is 2250 psi, then you can count how many of the samples have strengths above and below that value—i.e., the proportion of samples greater than 2250—compared to the proportion you would expect if the true median were indeed 2250 psi. If you view the data as being either above or below the median, you can calculate the related P-value. Refer to Problem 6. Are the P-values from (a) and (b) similar? If not, can you…
QUESTION 16 A researcher wants to compare the mean concentration of two medications considered biologically equivalent, i.e., two medications that are able to produce the same therapeutic effect at the same level of concentration in the blood. The group of individuals on medication one (n = 32) had a mean blood concentration of 21.7 micrograms per milliliter with a standard deviation of 8.7 micrograms per milliliter. The group of individuals on medication two (n= 32) had a mean blood concentration of 19.4 micrograms per milliliter with a standard deviation of 5.2 micrograms per milliliter. Construct and interpret a 95% confidence interval demonstrating the difference in means for the individuals on medication one when compared to the group of individuals on medication two. The researchers are 95% confident that the true mean difference in medication concentration levels between individuals on medication one and individuals on medication two is between 4.867 micrograms…

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