A company that makes robotic vacuums claims that their newest model of vacuum lasts, on average, two hours when starting on a full charge. To investigate this claim, a consumer group purchases a random sample of five vacuums of this model. They charge each unit fully and then measure the amount of time each unit runs. Here are the data (in hours): 2.2, 1.85, 2.15, 1.95, and 1.90. They would like to know if the data provide convincing evidence that the true mean run time differs from two hours. The consumer group plans to test the hypotheses H0: μ = 2 versus Ha: μ ≠ 2, where μ = the true mean run time for all vacuums of this model. Are the conditions for inference met?No, the random condition is not met.No, the 10% condition is not met.No, the Normal/large sample condition is not met.Yes, all conditions for inference are met. A company that makes robotic vacuums claims that their newest model of vacuum lasts, on average, two hourswhen starting on a full charge. To investigate this claim, a consumer group purchases a random sample of fivevacuums of this model. They charge each unit fully and then measure the amount of time each unit runs. Here arethe data (in hours): 2.2, 1.85, 2.15, 1.95, and 1.90. They would like to know if the data provide convincing evidencethat the true mean run time differs from two hours. The consumer group plans to test the hypotheses Ho: μ = 2versus H₂: μ #2, where μ = the true mean run time for all vacuums of this model. Are the conditions for inferencemet?No, the random condition is not met.No, the 10% condition is not met.No, the Normal/large sample condition is not met.Yes, all conditions for inference are met.

Answered: A company that makes robotic vacuums…

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

Chapter5: A Survey Of Other Common Functions

Section5.3: Modeling Data With Power Functions

Problem 6E: Urban Travel Times Population of cities and driving times are related, as shown in the accompanying...

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A company that makes robotic vacuums claims that their newest model of vacuum lasts, on average, two hours when starting on a full charge. To investigate this claim, a consumer group purchases a random sample of five vacuums of this model. They charge each unit fully and then measure the amount of time each unit runs. Here are the data (in hours): 2.2, 1.85, 2.15, 1.95, and 1.90. They would like to know if the data provide convincing evidence that the true mean run time differs from two hours. The consumer group plans to test the hypotheses H₀: μ = 2 versus H_a: μ ≠ 2, where μ = the true mean run time for all vacuums of this model. Are the conditions for inference met?

No, the random condition is not met.

No, the 10% condition is not met.

No, the Normal/large sample condition is not met.

Yes, all conditions for inference are met.

A company that makes robotic vacuums claims that their newest model of vacuum lasts, on average, two hours
when starting on a full charge. To investigate this claim, a consumer group purchases a random sample of five
vacuums of this model. They charge each unit fully and then measure the amount of time each unit runs. Here are
the data (in hours): 2.2, 1.85, 2.15, 1.95, and 1.90. They would like to know if the data provide convincing evidence
that the true mean run time differs from two hours. The consumer group plans to test the hypotheses Ho: μ = 2
versus H₂: μ #2, where μ = the true mean run time for all vacuums of this model. Are the conditions for inference
met?
No, the random condition is not met.
No, the 10% condition is not met.
No, the Normal/large sample condition is not met.
Yes, all conditions for inference are met.

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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