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...

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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