A rainstorm in Portland, Oregon, wiped out the electricity in 5% of the households in the city. Suppose that a random sample of 80 Portland households is takenafter the rainstorm.Answer the following.(If necessary, consult a list of formulas.)(a) Estimate the number of households in the sample that lost electricity by giving the mean of the relevant distribution(that is, the expectation of the relevant random variable). Do not round your response.(b) Quantify the uncertainty of your estimate by giving the standard deviation of the distribution. Round your responseto at least three decimal places.2022Graw Hill LLC All Rightsaceresc6#@432t

Given : Sample size = 80 Sample proportion = 0.05

Answered: A rainstorm in Portland, Oregon, wiped…

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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From candy to jewelry to flowers, the average consumer was expected to spend $104.63 for Mother’s Day in 2005, according to a Democrat & Chronicle article. Local merchants thought this average was too high for their area. They contracted an agency to conduct a study. A random sample of 60 consumers was taken at a local shopping mall the Saturday before Mother’s Day and produced the sample mean amount of $94.27. If σ = $29.50, does the sample provide sufficient evidence to support the merchants’ claim at the 0.03 level of significance? 1. Do you recognize any flaws in this study and what conclusions can you draw? The article “Well-fed Crickets Bowl Maidens Over” reports that female field crickets are attracted to males that have high chirp rates and hypothesized that chirp rate is related to nutritional status. The usual chirp rate doe male field crickets was reported to vary around a mean of 60 chirps per second. To investigate whether chirp rate was related to nutritional…
Business Weekly conducted a survey of graduates from 30 top MBA programs. On the basis of the survey, assume the mean annual salary for graduates 10 years after graduation is $133,000. Assume the standard deviation is $45,000. Suppose you take a simple random sample of 22 graduates. Round all answers to four decimal places if necessary. For a single randomly selected graduate, find the probability that her salary is between $136,209 and $142,906. For a simple random sample of 22 graduates, find the probability that the average salary is between $136,209 and $142,906. For part 2), is the assumption of normal necessary? No Yes
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Cody took his first physics exam and scored an 80. The population mean for this exam is 70, and the standard deviation is 5. What is the probability of selecting a person with a score greater than Cody’s?
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A psychologist believes that 65% of male drivers when lost continue to drive hoping to find the location they seek rather than ask directions. To examine this belief, he took a random sample of 350 male drivers and asked each what they did when lost. Assume that the sampling distribution of the sample proportion of male drivers who continue driving is at least approximately normal. If the belief is true, determine the probability that less than 60% said they continue driving. Show your work below
The state of California has a mean annual rainfall of 22 inches, whereas the state of New York has a mean annual rainfall of 42 inches. Assume that the standard deviation for both states is 4 inches. A sample of 30 years of rainfall for California and a sample of 49 years of rainfall for New York has been taken. (a) Show the probability distribution of the sample mean annual rainfall for California. 39.9 40.6 41.3 42 42.7 43.4 44.1 inches O -2.1-1.4 -0.7 0 0.7 1.4 2.1 inches O 10 14 18 22 26 30 34 (b) What is the probability that the sample mean is within 1 inch of the population mean for California? (Round your answer to four decimal places.) 0.8490 X inches 19.9 20.6 21.3 22 22.7 23.4 24.1 inches
Business Weekly conducted a survey of graduates from 30 top MBA programs. On the basis of the survey, assume the mean annual salary for graduates 10 years after graduation is $190,000. Assume the standard deviation is $34,000. Suppose you take a simple random sample of 15 graduates. Round all answers to four decimal places if necessary. For a simple random sample of 15 graduates, find the probability that the average salary is between $180,932 and $187,421. For part d), is the assumption of normal necessary? NoYes
Benny’s Barber Shop in Cleveland has five chairs for waiting customers. The number of customers waiting is a random variable Y with the following probability distribution. a. Find the mean. (Answer in 3 decimal places.) Answer: Blank 1 b. Find the standard deviation. (Answer in 3 decimal places.) Answer: Blank 2

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