2. The height of grade 1 pupils are approximately normally distributed with u= 45 inches and a = 2.a. If an individual pupil is selected at random, what is the probability that he or she has a height of42 and 47?b. A class of 30 of these pupils is used as a sample. What is the probability that the class mean isbetween 42 and 47?c. Ha pupil is selected at random, what is the probability that is taller than 46 inches?d. A class of 30 of these pupils is used as sample. What is the probability that the class mean isgreater than 46 inches?

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Answered: 2. The height of grade 1 pupils are…

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 that 36% of all voters prefer the Democratic candidate. Let X be the number of people who prefer the candidate when 15 people are surveyed at random. a. What is the distribution of X? X ? v Please show the following answers to 4 decimal places. b. What is the probability that exactly 7 voters who prefer the Democratic candidate in the survey? 0.1419 c. What is the probability that less than 7 voters who prefer the Democratic candidate in the survey? d. What is the probability that at least 7 voters who prefer the Democratic candidate in the survey? e. What is the probability that between 5 and 8 (including 5 and 8) voters who prefer the Democratic candidate in the survey?
11. Add 6 to each number in the dataset. Then, the 15th percentile is:a. 1b. 6c. 8d. 7Use the following information to answer questions 12-14: Suppose the probability that an adult gets thenews from Facebook is 0.60. A random sample of 14 adults were surveyed to determine X, the numberof adults who get their news from Facebook.12. Which of the following statements is false?a. The set of possible x-values is {1, 2, 3, . . ., 14}b. X ~ B (14, 0.60)c. P(X=5) = 0.0408d. µ = 8.413. Find the probability that at least 6 adults get their news from Facebook.a. 0.8499b. 6/14c. 0.6429d. 0.941714. X is of data of type:a. categorical nominalb. categorical ordinalc. numerical continuousd. numerical discrete15. Suppose that the ages of Brunswick CC students are normally distributed. A random sample of 6Brunswick CC students reported the ages of 20, 35, 18, 45, 27, and 20 years old. Find the errorbound that corresponds to the 90% confidence interval for the true population mean age ofBrunswick CC…
A distribution has a mean of 9, a median of 9, and a mode of 9. What is the shape of this distribution? 1. Positively skewed 2. Negatively skewed 3. Perfectly symmetrical 4. None of the above
In 1995, the median price of a PC was $1200. Suppose that a random sample of100 persons who bought their PCs during that year recorded the amount spent (byeach of them) on his/her PC. State the approximate sampling distribution of ˆp, theproportion of persons who spent more than $1200 on a PC. Find the probabilitythat more than 60% of this group spent more than $1200. NOTE: Please explain each part, so the problem can be used as a Study Guide
According to Reader's Digest, 37% of primary care doctors think their patients receive unnecessary medical care. Use the z-table. a. Suppose a sample of 390 primary care doctors was taken. Show the sampling distribution of the proportion of the doctors who think their patients receive unnecessary medical care. E(p) .37 (to 2 decimals) .0227 (to 4 decimals) b. What is the probability that the sample proportion will be within ±0.03 of the population proportion? Round your answer to four decimals. c. What is the probability that the sample proportion will be within ±0.05 of the population proportion? Round your answer to four decimals. d. What would be the effect of taking a larger sample on the probabilities in parts (b) and (c)? Why? The probabilities would - Select your answer - This is because the increase in the sample size makes the standard error, o Select your answer -
Q5: Assume that 75% of all employees at York University are in favor of unionization. A sample of 50 York employees were taken. a. Show the sampling distribution of the proportion of the employees at York University are in favor of unionization. b. What is the probability that the sample proportion will be within ±0.03 of the population proportion?
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5.50 Watching live television. A survey of 442 people aged 18 to 29 revealed that 30% watch live television every day.25 You take a random sample of 20 undergraduates from your university and ask them whether they watch live TV every day. If their rate matches the 30% rate: a. What is the distribution of the number of students who say they watch live television every day? b. What is the distribution of the number of students who say that they do not watch live television every day? c. What is the probability that no more than 2 of the 20 students in your sample say that they watch live television every day?
The average price of a college math textbook is $165 and the standard deviation is $25. Suppose that 10 textbooks are randomly chosen. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X - N( b. For the group of 10, find the probability that the average price is between $162 and $170. c. Find the third quartile for the average textbook price for this sample size. $ the nearest cent) d. For part b), is the assumption that the distribution is normal necessary? O No Yes (round to
Consider a sample set as S = {2,4,6,8,10,12,14,16,18,20}. Event A is the multiples of 4, while event B is the multiples of 5. a. What is the probability (in percent) that a number is chosen at random will be from both A and B? P = Blank 1% b. what is the probability (in percent) that a number is chosen at random will be from either A or B? P = Blank 2% Express your answer in 0 decimal place.
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