4.21. The salary of 1,000 engineers at Ford was normally distributed with mean salary $67,000and standard deviation $7,600.a. 35% of engineers at Ford make at least how much?b. What is the probability that an engineer makes less than $50,000?c. What is the probability that an engineer makes $60,000 to $70,000?

The salary of 1,000 engineers at Ford was normally distributed with mean salary $67,000and standard…

Answered: 4.21. The salary of 1,000 engineers at…

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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9
Suppose we are told that the mean age for students taking the SAT is 164 years with a standard deviation of 0.68 years. What ages (rounded to two decimal places) would represent the middle 36%? O a) 15.86 & 16.54 O b) 16.06 & 16.74 O c) 16.08 & 16.72 O d) 15.88 & 16.52
4
The average price of a college math textbook is $178 and the standard deviation is $24. Suppose that 6 textbooks are randomly chosen. Round all answers to 4 decimal places if necessary. a. What is the distribution of x? b. For the group of 6, find the probability that the average price is between $176 and $187. c. Find the first quartile for the average textbook price for this sample size. $ (round to the nearest cent)
3. The thickness of a road is normally distributed with standard deviation 5.8 cm. A random sample of 15 roads were taken. If the probability that the sample mean road thickness is at least 10.2 cm is 0.82, what is the average thickness of all the roads? OUT
13. In a symmetric distribution : A. The median equals the mean B. The mean is less than the median C. The mean is greater than the median D. The median is less than the mode
The amount of coffee that people drink per day is normally distributed with a mean of 15 ounces and a standard devilation of 5 ounces. 35 randomly selected people are surveyed. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X N b. What is the distribution of z? - N( c. What is the probability that one randomly selected person drinks between 14.6 and 15.3 ounces of coffee per day? d. For the 35 people, find the probability that the average coffee consumption is between 14.6 and 15.3 ounces of coffee per day. e. For part d), is the assumption that the distribution is normal necessary? Yes f. Find the IQR for the average of 35 coffee drinkers. No Q1 = ounces Q3 = ounces IQR: ounces
Can you please answer parts c and d of the attached question. Thank you.
23. TV sets: A Nielsen Company report states that the mean number of TV sets in a U.S. household is 2.24. Assume the standard deviation is 1.2. A sample of 85 households is drawn. a. What is the probability that the sample mean number of TV sets is greater than 2? b. What is the probability that the sample mean number of TV sets is between 2.5 and 3? c. Find the 30th percentile of the sample mean. d. Would it be unusual for the sample mean to be less than 2? e. Can you tell whether it would be unusual for an individual household to have fewer than 2 TV sets? Explain.
The avg. production…
A balanced die with 4 sides, numbered 1 through 4,is rolled 40 times. a. For the binomial distribution of X=number of 4s, what is n and what is p? b. Find the mean and the standard deviation of the distribution of X. Interpret. c. If you observe x=0, would you be skeptical that the die is balanced? Explain why, based on the mean and standard deviation of X. d. Find the probability that x=0. a. n= (Type an integer or decimal. Do not round.) p= (Round to three decimal places as needed.) b. μ= (Round to three decimal places as needed.) σ= (Round to two decimal places as needed.) What information is given by the mean and standard deviation? A. Since the sample size is sufficiently large, the distribution is approximately normal and nearly all observations fall within μ−3σ and μ+3σ. B. Since the sample size is sufficiently large, the distribution is approximately normal and nearly all observations are less than μ−3σ or greater than μ+3σ. C. Since…
6.The heights of players in a sports league are normally distributed with a mean of 180cm and a standard deviation of 6 cm. What is the probability that a player has a height between 168 cm and 186 cm? A.95% B.81.5% C.47.5% D.68%

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