A dishwasher has a mean lifetime of 12 years with an estimated standard deviation of 1.5 years. Assume the lifetime of a dishwasher is normally distributed. A dishwasher has a mean lifetime of 12 years with an estimated standard deviation of 1.5 years. Assumethe lifetime of a dishwasher is normally distributed.a) Identify the individual, variable, and type of variable in the context of this problem.The individual object is Select an answerThe variable information collected from each individual is Select an answerThis variable is a Select an answerb) What is the wording of the random variable X in the context of this problem?The random variable X = Select an answerc) Why can the Empirical Rule be used to approximate probabilities on this problem?Select an answer✓ variable.d) Use the Empirical Rule to approximate the percentage of dishwashers that last between 9 years and 15years.There is about% of dishwashers that last between 9 years and 15 years.e) If the warranty guarantees the dishwasher will last at least 9 years or your money back, what is theprobability that the company will have to refund money to a customer?% chance that the company will have to refund money to a customer.There is about

The question is about normal distribution Given :Population mean lifetime of a dishwasher ( ) = 12…

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

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.5: Comparing Sets Of Data

Problem 14PPS

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A dishwasher has a mean lifetime of 12 years with an estimated standard deviation of 1.5 years. Assume the lifetime of a dishwasher is normally distributed.

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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