The microwave cooking times of a frozen dinner are normally distributed with a mean cooking time of 5 minutes and a standard deviation of 0.45 minutes. Label the normal curve above to show the complete distribution of cooking times out to four standard deviations in each direction of the mean. A-1What is the z-score of a frozen dinner cooking time of 6 minutes? Show your calculations. Round to one decimal place. A-2So what percentage of frozen dinner cooking times are less than 6 minutes? Do not round. B-1What is the z-score of a frozen dinner cooking time of 7.2 minutes? Round to one decimal place. B-2So what percentage of frozen dinner cooking times are more than 7.2 minutes? Do not round. (Hint: This answer does not come directly from the z-table. An extra calculation is required!)

The microwave cooking times of a frozen dinner are normally distributed with a mean cooking time of…

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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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The microwave cooking times of a frozen dinner are normally distributed with a mean cooking time of 5 minutes and a standard deviation of 0.45 minutes. Label the normal curve above to show the complete distribution of cooking times out to four standard deviations in each direction of the mean.

A-1	What is the z-score of a frozen dinner cooking time of 6 minutes? Show your calculations. Round to one decimal place.

A-2	So what percentage of frozen dinner cooking times are less than 6 minutes? Do not round.

B-1	What is the z-score of a frozen dinner cooking time of 7.2 minutes? Round to one decimal place.

B-2	So what percentage of frozen dinner cooking times are more than 7.2 minutes? Do not round. (Hint: This answer does not come directly from the z-table. An extra calculation is required!)

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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