Answered: The data below gives the mean price (in…

Mathematics For Machine Technology

8th Edition

ISBN:9781337798310

Author:Peterson, John.

Publisher:Peterson, John.

Chapter84: Binary Numeration System

Section: Chapter Questions

Problem 9A

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Question

The data below gives the mean price (in cents) of a litre of regular gasoline at self-service filling stations at a sample of six urban centres in Canada in May 2012.

Part (c) Using the appropriate t distribution, find a 90% confidence interval for the mean gasoline price per litre across urban Canada in May 2012. Provide the upper and lower bounds for your confidence interval. ( , )

Part (d) Would a 95% confidence interval be wider or narrower than the interval you found in Part (c)? Using the appropriate t distribution, find a 95% confidence interval for the mean gasoline price per litre across urban Canada in May 2012. Provide the upper and lower bounds for your confidence interval. ( , )

Urban area
Saint John, NB
Montreal
Toronto
Thunder Bay
Calgary
Victoria
Price/litre
129.7
135.8
128.9
138.2
114.5
131.8

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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