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Name: Tina is an independent sales consultant and averages 16 golden chains
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Description: Tina is an independent sales consultant and averages 16 golden chains sold per day with a standard deviation of 2.7 golden chains. Suppose Tina's number of golden chains sold per day is normally distributed. Let X= the number of golden chains sold on

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

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 22PFA

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Tina is an independent sales consultant and averages 16 golden chains sold per day with a standard deviation of 2.7 golden chains. Suppose Tina's number of golden chains sold per day is normally distributed. Let X= the number of golden chains sold on a particular day. Then X∼N(16,2.7).

If necessary, round to three decimal places.

Provide your answer below:

Suppose Tina sells 13 golden chains on the day before a major holiday. The z-score when x = 13 is . The mean is.

This z-score tells you that x = 13 is standard deviations to the left of the mean.

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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