Question

Answer the following question

Suppose wi and are true mean stopping distances at SO mph for cars of a certain type equipped with two different types of braking systems. The data follows: m =B * 115.7, S, - 5.08, n = 3,7 = 129.9, and 52 - 5.31. Calculate a 95% CI for the difference between true average stopping distances for cars equipped with system 1 and cars equipped with system 2. (Round your answers to two decimal places.) Does the interval suggest that precise information about the value of this difference is available? O Because the interval is so wide, it appears that precise information is available. O Because the interval is so narrow, it appears that precise information is not available. O Because the interval is so wide, it appears that precise information is not available. O Because the interval is so narrow, it appears that precise information is available. You may need to use the appropriate table in the Appendix of Tables to answer this question.

Answer 1

Given, M=8 V = 115.7 S,= 5.08 n=8. Y=129.9. S2 = 5-31 . Now, I = 1-0.95 TL > 0.05 /2 = 0.05 0.025 Az then . tanto.025 = 2-365 lesing t-value caleulator) 954. confidence interval for the difference between true average stopping distance for cars equipped System 1 & with System 2 is (63-45) 4 1 367-*) * (157-190) 2:30 GANE

(-20.3445,-8.0555) => Yes, because the interval is it appears that Precise not available. so wide, information

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