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Suppose μ1 and μ2 are true mean stopping distances at 50 mph for cars of a...

Suppose μ1 and μ2 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 = 7, x = 114.1, s1 = 5.03, n = 7, y = 129.4, and s2 = 5.35. 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?

Math   Statistics-And-Probability   
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Answer #1

The statistical software output for this problem is:

Hence,

95% confidence interval will be:

(-21.35, -9.25)

Since this interval does not contain 0, it suggests that precise information about the value of this difference is available.

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