A random sample of receipts for individuals eating at the Terrace Restaurant showedthe sample mean to be i = $10.39 with sample standard deviation s = $2.15.3.(a) Compute the coefficient of variation for this data. Interpret the meaning of this value in thecontext of this problem.(b) Use Chebyshev's Theorem to find the smallest interval centered on the mean inwhich we can expect at least 75% of the data to fall.

Answered: Image /qna-images/answer/7973cfc6-8512-4048-a024-94e71042d07e.jpg

Answered: 3. A random sample of receipts for…

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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For data that is not normally distributed we can't use z-scores. However, there is an equation that works on any distribution. It's called Chebyshev's formula. The formula is p = 1 - 7.2 where p is the minimum percentage of scores that fall within k standard deviations on both sides of the mean. Use this formula to answer the following questions. a) If you have scores and you don't know if they are normally distributed, find the minimum percentage of scores that fall within 2.1 standard deviations on both sides of the mean? b) If you have scores that are normally distributed, find the percentage of scores that fall within 2.1 standard deviations on both sides of the mean? c) If you have scores and you don't know if they are normally distributed, how many standard deviations on both sides of the mean do we need to go to have 96 percent of the scores? Note: To answer part c you will need to solve the equation for k.
Rush
Suppose that the hemoglobin levels among healthy females are normally distributed with a mean of 14.1 gdL. Research shows that exactly 95% of healthy females have a hemogoblin level of 16.1 gdL. What is the standard deviation of the distribution of hemoglobin levels and healthy females. Carry you intermediate computations to atleast four decimal places, and round your answer to at least two decimal places.
A queueing system has an arrival rate of 37 visitors per day (standard deviation of 32) and a service rate of 42 visitors per day (standard deviation of 25). (Round your answer to three decimal places.) What is the coefficient of variation of the arrival rate?
#23).
Withdrawal symptoms may occur when a person using a painkiller suddenly stops using it. For a special type of painkiller, withdrawal symptoms occur in 4% of the cases. Consider a random sample of 2400 people who have stopped using the painkiller. Answer the following. (If necessary, consult a list of formulas.) (a) Find the mean of p, where p is the proportion of people in the sample who experience withdrawal symptoms. (b) Find the standard deviation of (c) Compute an approximation for P(p <0.05), which is the probability that fewer than 5% of those sampled experience withdrawal symptoms. Round your answer to four decimal places.
ou should complete the table as part of the procedure of finding the variance and standard deviation. Xi (Xi-(mu)) | (Xi-(mu)) | 49 53 60 60 62 63 64 69 73 87 [Note, this is the same set of data points used in problem 6. How does this compare to the standard deviation computed in problem 6? Why might this be smaller?]
1. Find the p-value. (Round to three or more decimal places.) 2. At the 0.01 level of significance, can the doctor conclude that the mean recovery time of patients who have the new procedure is less than the mean recovery time of patients who have the standard procedure?
Suppose that the speeds of car is traveling in California freeways are normally distributed with a mean of 63 mph. The highway patrols policy is to issue tickets for cars with speeds exceeding 80 mph. The records show that exactly 2% of the speed succeed this limit find the standard deviation of the speed of cars traveling on California’s freeway. Carry your intermediate computations to at least four decimal places in round your answer to at least one decimal place.
#10. A psychologist is studying the self image of smokers, which she measures by the self image (SI) score from a personality inventory. She would like to estimate the mean SI score, U ( mean population), for the population of all smokers. She plans to take a random sample of SI scores for smokers an estimate U (population mean) via the sample. Assuming that the standard deviation of SI scores for the population of all smokers is 82, what is the minimum sample size needed for the psychologist to be 99% confident that her estimate is within 12 of U (population mean)? Carry your intermediate computations to at least three decimal places write your answer as a whole number, and make sure it is the minimum whole number that satisfies the requirements .

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