Show neat and complete solution. (...The average fuel efficiency of U.S. light vehicles (cars, SUVs, minivans, vans,and light trucks) for 2005 was 21 miles per gallon (mpg). If the standard deviationof the population was 2.8 and the gas ratings were normally distributed, (a) whatis the probability that the mean mpg for a random sample of 25 light vehicles isunder 18? (b) between 20 and 24?Given:Required:Solution:a.b.

Answered: Show neat and complete solution. ( The…

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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a random sample of n = 36 students who registered for Introductory Psychology is placed in the online version of the course. At the end of the semester, all students take the same final exam. The average score for the sample is M = 76. For the general population of students taking the traditional lecture class, the final exam scores form a normal distribution with a mean of u = 71. a. If the final exam scores for the population have a standard deviation of o = 12, does the sample provide enough evidence to conclude that the new online course is significantly different from the tra- ditional class? Use a two-tailed test with a = .05. %3D b. If the population standard deviation is o = 18, is the sample sufficient to demonstrate a significant differ- ence? Again, use a two-tailed test with a = ,05. c. Comparing your answers for parts a and b, explain how the magnitude of the standard deviation influ- ences the outcome of a hypothesis test.
2. The mean of a statistics examination is 77.0. a. If your score is 85, would you prefer the standard deviation to be large or small for purposes of getting a better grade? Why? b. If your score is 69, would you prefer the standard deviation to be large or small? Why?
A random sample of size 1,000 is taken from a population where the population proportion p = .02. What is the mean of the sample proportions?
The empirical rule states that the percentage of observations in a data set (provided that the data set has a bell-shaped and symmetric distribution) that fall within one standard deviation of their mean is approximately 75%. TRUE OR FALSE
A population has a mean µ = 87 and a standard deviation o=27. Find the mean and standard deviation of a sampling distribution of sample means with sample size n = 81. (Simplify your answer.)
There are 100,000 particles m-3, and the particle diameters follow a normal distribution. The mean diameter is 0.1 µm, and the standard deviation is 0.02 µm. a. How many particles m-3 have diameters larger than 0.15 µm? b. How many particles m-3 have diameters between 0.14 µm and 0.15 µm?

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