suppose M1 and 2 are true mean stopping distances at 50 mph for cars of a certai

Question

suppose M1 and 2 are true mean stopping distances at 50 mph for cars of a certain type equipped with two different types of braking systems. The data follows: m-6, x = 114.6, s = 5.07, n-6, y = 129.3, and s2-5.34. Calculate a 95% C or the difference between true average stopping distances or cars equipped with system 1 and cars equipped with system 2 Round your answers o twu decimal places. Does the interval suggest that precise information about the value of this difference is available? Because the interval is so narrow, it appears that precise information is not available. OBecause the interval is so wide, it appears that precise information is not available Because the Interval Is so narrow, It appears that precise Informatlon is avallable Because the interval is so wide, it appears that precise information is available

Explanation / Answer

Ans:

standard error=sqrt((5.07^2/6)+(5.34^2/6))=3.01

df=6+6-2=10

t value for 95% CI and df=10 is 2.228

Margin of error=2.228*3.01=6.70

95% CI

=(114.6-129.3)+/-6.70

=-14.7+/-6.70

=(-21.40,-8.00)

Because the interval is so wide it appears that precise informaton is not available.

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