A large candy company has a product that comes in several different colors. The company claims that34.1% of these candies are colored red.Note: It is assumed that you use the normal distribution as a model to answer (b) and (c).a) For samples of size 500, what is the standard deviation for the sampling distribution of the sampleproportion of red candies?b) In a random sample of 500 candies, what is the probability that less than 31.7% are red?c) What is the probability that a random sample of 500 candies results in higher than 37.1% red?d) What is the probability that a random sample of 14 candies results in 5 candies or fewer that are red?Note: Something has changed about the setting here for part (d).

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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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Suppose the grade distribution of midterm scores in a large lecture course is as follows:25% A, 30% B, 30% C, 10% D, 5% FThe professor is going to sample 50 students at random from the class. Calculate the expectedvalue and standard error for the percentage of students in the sample who got a C or better.
The agency for healthcare research and quality reported that 53% of people who had coronary bypass surgery in a recent year were over the age of 65. Fifteen coronary bypass patients are sampled. Let r= the number of coronary bypass patients over the age of 65. a. What is the mean of this binomial probability distribution? b. What is the variance? c. What is the standard deviation? d. Using the chebyshev's theorem for a minimum percentage of 75%, would it be unusual for 13 coronary bypass patients to be over the age of 65?
The Bank of America VP feels that each savings account customer has, on average, three credit cards. The following distribution represents the number of credit cards people own. 2. 1 2 3 P(X) 0.18 0.44 0.27 0.08 0,03 a. Find the mean, variance, and standard deviation. o²= O = b. Is the VP correct?
You are given the following information obtained from a random sample of 5 observations. Assume the population has a normal distribution 20 18 17 22 18 You want to determine whether or not the mean of the population from which this sample was taken is equal to 21. Determine the test statistic value?
The engineering school at a major university claims that more than 20% of its graduates are women. In a graduating class of 210 students, 58 were females. Step 3: Requirements/assumptions for this type of distribution Is this sample random? Is this a large sample?
In basketball, the top free throw shooters usually have a probability of about 0.85 of making any given free throw. Over the course of a season, one such player shoots 500 free throws. a. Find the mean and standard deviation of the probability distribution of the number of free throws he makes. b. By the normal distribution approximation, within what range would the number of free throws made almost certainly fall? Why? c. Within what range would the proportion made be expected to fall? a. Find the mean and standard deviation of the probability distribution of the number of free throws he makes. H = 425 (Type an integer or a decimal.) 6= (Round to three decimal places as needed.) example Get more help. tv Clear all Check answer A 510 1 O C G
3. Women's shoe sizes are (approximately) normally distributed, with an average size of 8.076 and a standard deviation of 1.468. You work at Vogue Magazine, and would like to interview some women about how shoes fit. You take a random sample of 10 women. What is the probability that the 10 women you sampled had an average shoe size that is between a 6 and a 9?
Suppose a sample of O-rings was obtained and the wall thickness (in inches) of each was recorded. Use a normal probability plot to assess whether the sample data could have come from a population that is normally distributed. 0.163 0.182 0.194 0.211 0.224 0.225 0.233 0.243 0.251 0.259 0.271 0.273 0.295 0.307 0.317 0.340 Click here to view the table of critical values for normal probability plots. Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table. Using the correlation coefficient of the normal probability plot, is it reasonable to conclude that the population is normally distributed? Select the correct choice below and fill in the answer boxes within your choice. (Round to three decimal places as needed.) A. No. The correlation between the expected z-scores and the observed data, normal population. does not exceed the critical value, Therefore, it is not reasonable to conclude that the data come from…
answer d)
1) The mean and standard deviation of a population are 200 and 20, respectively.The probability of selecting one data value less than 190 is ____ %. (Round answer to the nearest percent (whole number). Do not write the % sign.) 2) A. C. Neilsen reported that children between the ages of 2 and 5 watch an average of 25 hours of television per week. Assume the variable is normally distributed and the standard deviation is 3 hours.If 20 children between the ages of 2 and 5 are randomly selected, the number of children in the sample who watch at least 25.2 hours of television is? Give answer to the nearest whole number, not a percent. 3) A. C. Neilsen reported that children between the ages of 2 and 5 watch an average of 25 hours of television per week. Assume the variable is normally distributed and the standard deviation is 3 hours.If 20 children between the ages of 2 and 5 are randomly selected, the number of children in the sample who watch at most 22.5 hours of television is? . Give…

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