95% confidence, develop an interval estimate for the difference between the average miles per gallon for the two models. b. Is there conclusive evidence to indicate that one model gets a higher miles per gallon than the other? If yes, explain how you know this and which model is higher. If no, explain how you know that there is not enough evidence.

95% confidence, develop an interval estimate for the difference between the average miles per gallon for the two models. b. Is there conclusive evidence to indicate that one model gets a higher miles per gallon than the other? If yes, explain how you know this and which model is higher. If no, explain how you know that there is not enough evidence.

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

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.3: Measures Of Spread

Problem 1GP

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Question

In order to estimate the difference between the average miles per gallon of two different models of automobiles, samples are taken and the following information is collected.

	Model A	Model B
Sample Size	55	65
Sample Mean	28	26
Sample Variance	16	9

a.	At 95% confidence, develop an interval estimate for the difference between the average miles per gallon for the two models.
b.	Is there conclusive evidence to indicate that one model gets a higher miles per gallon than the other? If yes, explain how you know this and which model is higher. If no, explain how you know that there is not enough evidence.

Definition Definition Method in statistics by which an observation’s uncertainty can be quantified. The main use of interval estimating is for describing a range that is made by transforming a point estimate by determining the range of values, or interval within which the population parameter is likely to fall. This range helps in measuring its precision.

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