A local buffet has steak night every Thursday night. They have a customer guarantee that each filet filet weighs on average (mean) 6.3 ounces with a standard deviation of 0.04. A disgruntled customer complains that they are served a “tiny” filet which would be less then 6.15 ounces determine the z-score for a tiny fillet. Determine the probability that a randomly selected customer will be served a tiny fillet by constructing a StatCrunch plot showing the desired probability. Save, then rename the graph/column to include your name, and finally insert a copy in your answer document. A waiter at the buffet has been serving all day and wants to leave for the evening with a good tip. He randomly selects fillets in hopes of getting a jumbo one, where jumbo qualifies as a filet weighing more than 6.38 oz. Determine a jumbo filet’s z-score. Find the probability that a randomly selected filet will turn out to be jumbo. Construct a plot showing the desired probability. Save, then rename the graph/column to include your name, and finally insert a copy in your answer document. What percentage of filets are between 6.3 and 6.4 ounces? Construct a plot showing the desired probability. Save, then rename the graph/column to include your name, and finally insert a copy in your answer document. Determine the filet weight at which only 5% of filets weigh less than it. Construct a plot showing the desired weight, and insert a copy into your answer document.

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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Question

A local buffet has steak night every Thursday night. They have a customer guarantee that

each filet filet weighs on average (mean) 6.3 ounces with a standard deviation of 0.04.

A disgruntled customer complains that they are served a “tiny” filet which would be less

then 6.15 ounces determine the z-score for a tiny fillet.

Determine the probability that a randomly selected customer will be served a tiny fillet by

constructing a StatCrunch plot showing the desired probability. Save, then rename the

graph/column to include your name, and finally insert a copy in your answer document.

A waiter at the buffet has been serving all day and wants to leave for the evening with a

good tip. He randomly selects fillets in hopes of getting a jumbo one, where jumbo

qualifies as a filet weighing more than 6.38 oz. Determine a jumbo filet’s z-score.

Find the probability that a randomly selected filet will turn out to be jumbo. Construct a

plot showing the desired probability. Save, then rename the graph/column to include

your name, and finally insert a copy in your answer document.

What percentage of filets are between 6.3 and 6.4 ounces? Construct a

plot showing the desired probability. Save, then rename the

graph/column to include your name, and finally insert a copy in your answer document.

Determine the filet weight at which only 5% of filets weigh less than it. Construct a

plot showing the desired weight, and insert a copy into your answer document.

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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