Given the information on the sample below, use the steps to construct a 95% confidence interval for the population mean. Assume that the population is normally distributed.A college gives the same calculus final to all sections of the course. A sample of 40 randomly selected students that took the calculus final was collected after the exam. The mean score of the sample was 72 and the standard deviation of the sample was 12.2.a) Find the critical value ?! that corresponds to a 95% confidence level. " b) Calculate “E” c) Construct your confidence interval. d) Write a sentence that explains the meaning of the confidence interval.I am 95% confident that... The mean replacement time for a random sample of 25 washing machines in 7.2 years and the standard deviation is 2.7 years. Construct a 95% confidence interval for the population standard deviation of the replacement times of a washing machines of this type.a) Find the two critical values ?" and ?" that correspond to a 95% confidence interval.b) Construct your confidence interval.c) Write a sentence that explains the meaning of the confidence interval.I am 95% confident that...

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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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Given the information on the sample below, use the steps to construct a 95% confidence interval for the population mean. Assume that the population is normally distributed.

A college gives the same calculus final to all sections of the course. A sample of 40 randomly selected students that took the calculus final was collected after the exam. The mean score of the sample was 72 and the standard deviation of the sample was 12.2.

a) Find the critical value ?! that corresponds to a 95% confidence level. "

b) Calculate “E”

c) Construct your confidence interval.

d) Write a sentence that explains the meaning of the confidence interval.

I am 95% confident that...

The mean replacement time for a random sample of 25 washing machines in 7.2 years and the standard deviation is 2.7 years. Construct a 95% confidence interval for the population standard deviation of the replacement times of a washing machines of this type.
a) Find the two critical values ?" and ?" that correspond to a 95% confidence interval.
b) Construct your confidence interval.
c) Write a sentence that explains the meaning of the confidence interval.

I am 95% confident that...

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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