A sandwich shop claims to sell sub sandwiches that are 12 inches long. An employee is suspicious of this claim so, over the course of the next week, he measures 45 sandwiches at random. The mean length of the sample is 12.18 inches, with a standard deviation of 0.65 inches. a) Construct a 95% confidence interval for the mean sandwich length. b) Interpret the confidence interval determined in part a). [2] c) Based on your interval from part a), is there convincing evidence that the mean sandwich length is not 12 inches? Explain your answer.

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Description: A sandwich shop claims to sell sub sandwiches that are 12 inches long. An employee is suspicious of this claim so, over the course of the next week, he measures 45 sandwiches at random. The mean length of the sample is 12.18 inches, with a standard d

Ae have to find ci.and interprete it.

Answered: A sandwich shop claims to sell sub…

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 sandwich shop claims to sell sub sandwiches that are 12 inches long. An employee is suspicious of this claim so, over the course of the next week, he measures 45 sandwiches at random. The mean length of the sample is 12.18 inches, with a standard deviation of 0.65 inches.

a) Construct a 95% confidence interval for the mean sandwich length.

b) Interpret the confidence interval determined in part a). [2]
c) Based on your interval from part a), is there convincing evidence that the mean sandwich length is not 12 inches? Explain your answer.

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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