Answered: First introduced in Los Angeles, the…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.6: Summarizing Categorical Data

Problem 4AGP

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First introduced in Los Angeles, the concept of Korean-style tacos sold from a catering truck has been gaining popularity nationally. This taco is an interesting mix of corn tortillas with Korean-style beef, garnished with onion, cilantro, and a hash of chili-soy-dressed lettuce. Suppose one such taco truck operates in the Detroit area. The owners have estimated that the daily consumption of beef is normally distributed with a mean of 24 pounds and a standard deviation of 6 pounds. While purchasing too much beef results in wastage, purchasing too little can disappoint customers. [You may find it useful to reference the z table.] a. Determine the amount of beef the owners should buy so that it meets demand on 80% of the days. (Round your final answer to 2 decimal places.) b. How much should the owners buy if they want to meet demand on 95% of the days? (Round your final answer to 2 decimal places.)

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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