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Name: The z confidence interval and test are based on the sampling distribut
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Description: The z confidence interval and test are based on the sampling distribution of the sample mean x¯ . The National Survey of Student Engagement (NSSE) asks college seniors to rate how much their experience at their institution has contributed to their ab

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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The z confidence interval and test are based on the sampling distribution of the sample mean x¯ . The National Survey of Student Engagement (NSSE) asks college seniors to rate how much their experience at their institution has contributed to their ability to think critically and analytically. Ratings are on a scale of 1 to 7 , with 7 being the highest or best rating. Suppose scores for all seniors in 2013 are Normal with mean μ=3.3 and standard deviation σ=0.8 .

(a) You take an SRS of 100 seniors. According to the 99.7 part of the 68–95–99.7 rule, about what range of ratings do you expect to see in your sample? (Enter your answer rounded to one decimal place.)

lower bound:

upper bound:

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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