Side-by-SideSuppose two American workers are selected at random.The mattress company Amerisleep recently conducted aWhat is the probability that the total number of naps for thesurvey and concluded that more than half of all Americanssleep on the job, but the type of work and salary affect howoften people grab some shut eye. Suppose that the meannumber of naps per month on the job by a randomlytwo Americans during a month, is zero? One? Two? Giveyour answers to four decimal places.selected American worker is four.p(0) =p(1) =p(2) = Side-by-SideWhat is the probability that a randomly selected AmericanThe mattress company Amerisleep recently conducted asurvey and concluded that more than half of all Americansworker does not take a single nap during a month? Onesleep on the job, but the type of work and salary affect howoften people grab some shut eye. Suppose that the meannumber of naps per month on the job by a randomlynap? Two naps? Round to four decimal places.selected American worker is four.P(X = 0) =P(X = 1) =P(X = 2) =

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Answered: Side-by-Side The mattress company…

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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I’m taking a probability and a statistics class. Please get this correct so I can study.
A research team is working on a project to study the time (in seconds) for high school male runners to finisha 400-meter race. Jimmy, a junior researcher in the team, has randomly selected a sample of 25 male runnersfrom a high school and the time (in seconds) for each of them to complete a 400-meter race was recorded.The sample mean running time was 53 seconds. It is assumed that the running time in a 400-meter racefollows a normal distribution with a population standard deviation of 5.5 seconds.(a) Give a point estimate of the population mean running time for a 400-meter race.(b) Calculate the sampling error at 95% confidence level.(c) Construct a 95% confidence interval estimate of the population mean running time for a 400-meter race. (d) If instead of 25, 80 male runners are selected for the study, what is the sampling error at 95% confidencelevel? When the 95% confidence interval is constructed based on a sample with 80 male runners, wouldyou expect the interval will be (I)…
The prevalence of glaucoma in elderly people among high-risk populations within a city is approximately 5%. Suppose a mobile unit is sent to various neighborhoods throughout the city to identify subjects for a new glaucoma study. If the unit evaluates 500 people, what is the probability of identifying at least 20 cases of glaucoma?
Jenny works for a local brewing company. She and her team mates try to estimate the Hong Kong consumers’ preference on their beer brand compared to other imported ones. They performed a survey asking if the respondent prefers the company’s brand the most or not. Based on this survey result, they want to decide how much money the company needs to invest on brand promotions in the coming year. This is an important decision for the company, and the management wants to have the probability that the sample proportion p is +/- 3% from the actual proportion p to be very high (i.e., at least 99%). In this case, what is the desirable sample size n for the following two cases? Give the answer in the form of: at least ___ x100 samples. Case i. When the actual proportion is 50%. Case ii. When the actual proportion is 10%. Explain why the sample sizes required to achieve the same accuracy in the two cases are different.
Suppose you did an experiment with 3 groups and 16 subjects per group. The sample variances in the three groups were 14, 16, and 18. Using Tukey's test to compare the means, what would be the two-tailed probability for a comparison of the first mean (14) with the last mean (18)?
The president of Doerman Distributors, Inc. believes that 30% of the firm's orders come from first-time customers. A random sample of 100 orders will be used to estimate the proportion of first-time customers. What is the probability that the sample proportion will be within .05?
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